On the efficiency of recursive evaluations with applications to risk theory

On the efficiency of recursive evaluations with applications to risk theoryCette thèse est composée de trois essais qui portent sur l'efficacité des évaluations récursives de la distribution du montant total des sinistres d'un portefeuille de polices d'assurance au cours d'un période donnée. Le calcul de sa fonction de probabilité ou de quantités liées à cette distribution apparaît fréquemment dans la plupart des domaines de la pratique actuarielle.C'est le cas notamment pour le calcul du capital de solvabilité en Suisse ou pour modéliser la perte d'une assurance vie au cours d'une année. Le principal problème des évaluations récursives est que la propagation des erreurs provenant de la représentation des nombres réels par l'ordinateur peut être désastreuse. Mais, le gain de temps qu'elles procurent en réduisant le nombre d'opérations arithmétiques est substantiel par rapport à d'autres méthodes.Dans le premier essai, nous utilisons certaines propriétés d'un outil informatique performant afin d'optimiser le temps de calcul tout en garantissant une certaine qualité dans les résultats par rapport à la propagation de ces erreurs au cours de l'évaluation.Dans le second essai, nous dérivons des expressions exactes et des bornes pour les erreurs qui se produisent dans les fonctions de distribution cumulatives d'un ordre donné lorsque celles-ci sont évaluées récursivement à partir d'une approximation de la transformée de De Pril associée. Ces fonctions cumulatives permettent de calculer directement certaines quantités essentielles comme les primes stop-loss.Finalement, dans le troisième essai, nous étudions la stabilité des évaluations récursives de ces fonctions cumulatives par rapport à la propagation des erreurs citées ci-dessus et déterminons la précision nécessaire dans la représentation des nombres réels afin de garantir des résultats satisfaisants. Cette précision dépend en grande partie de la transformée de De Pril associée.

Randomized observation periods for the compound Poisson risk model: Dividends

In the framework of the classical compound Poisson process in collective risk theory, we study a modification of the horizontal dividend barrier strategy by introducing random observation times at which dividends can be paid and ruin can be observed. This model contains both the continuous-time and the discrete-time risk model as a limit and represents a certain type of bridge between them which still enables the explicit calculation of moments of total discounted dividend payments until ruin. Numerical illustrations for several sets of parameters are given and the effect of random observation times on the performance of the dividend strategy is studied.

Ruin and related quantities in some advanced insurance risk models

Risk theory has been a very active research area over the last decades. The main objectives of the theory are to find adequate stochastic processes which can model the surplus of a (non-life) insurance company and to analyze the risk related quantities such as ruin time, ruin probability, expected discounted penalty function and expected discounted dividend/tax payments. The study of these ruin related quantities provides crucial information for actuaries and decision makers. This thesis consists of the study of four different insurance risk models which are essentially related. The ruin and related quantities are investigated by using different techniques, resulting in explicit or asymptotic expressions for the ruin time, the ruin probability, the expected discounted penalty function and the expected discounted tax payments. - La recherche en théorie du risque a été très dynamique au cours des dernières décennies. D'un point de vue théorique, les principaux objectifs sont de trouver des processus stochastiques adéquats permettant de modéliser le surplus d'une compagnie d'assurance non vie et d'analyser les mesures de risque, notamment le temps de ruine, la probabilité de ruine, l'espérance de la valeur actuelle de la fonction de pénalité et l'espérance de la valeur actuelle des dividendes et taxes. L'étude de ces mesures associées à la ruine fournit des informations cruciales pour les actuaires et les décideurs. Cette thèse consiste en l'étude des quatre différents modèles de risque d'assurance qui sont essentiellement liés. La ruine et les mesures qui y sont associées sont examinées à l'aide de différentes techniques, ce qui permet d'induire des expressions explicites ou asymptotiques du temps de ruine, de la probabilité de ruine, de l'espérance de la valeur actuelle de la fonction de pénalité et l'espérance de la valeur actuelle des dividendes et taxes.

Properties of a risk measure derived from ruin theory

This paper studies a risk measure inherited from ruin theory and investigates some of its properties. Specifically, we consider a value-at-risk (VaR)-type risk measure defined as the smallest initial capital needed to ensure that the ultimate ruin probability is less than a given level. This VaR-type risk measure turns out to be equivalent to the VaR of the maximal deficit of the ruin process in infinite time. A related Tail-VaR-type risk measure is also discussed.

Statistical learning theory for geospatial data. Case study: Aral sea

In recent years there has been an explosive growth in the development of adaptive and data driven methods. One of the efficient and data-driven approaches is based on statistical learning theory (Vapnik 1998). The theory is based on Structural Risk Minimisation (SRM) principle and has a solid statistical background. When applying SRM we are trying not only to reduce training error ? to fit the available data with a model, but also to reduce the complexity of the model and to reduce generalisation error. Many nonlinear learning procedures recently developed in neural networks and statistics can be understood and interpreted in terms of the structural risk minimisation inductive principle. A recent methodology based on SRM is called Support Vector Machines (SVM). At present SLT is still under intensive development and SVM find new areas of application (www.kernel-machines.org). SVM develop robust and non linear data models with excellent generalisation abilities that is very important both for monitoring and forecasting. SVM are extremely good when input space is high dimensional and training data set i not big enough to develop corresponding nonlinear model. Moreover, SVM use only support vectors to derive decision boundaries. It opens a way to sampling optimization, estimation of noise in data, quantification of data redundancy etc. Presentation of SVM for spatially distributed data is given in (Kanevski and Maignan 2004).

Startegy selection during exploratory behavior: sex differences, uncertainty and risk managment

This study deals with the psychological processes underlying the selection of appropriate strategy during exploratory behavior. A new device was used to assess sexual dimorphisms in spatial abilities that do not depend on spatial rotation, map reading or directional vector extraction capacities. Moreover, it makes it possible to investigate exploratory behavior as a specific response to novelty that trades off risk and reward. Risk management under uncertainty was assessed through both spontaneous searching strategies and signal detection capacities. The results of exploratory behavior, detection capacities, and decision-making strategies seem to indicate that women's exploratory behavior is based on risk-reducing behavior while men behavior does not appear to be influenced by this variable. This difference was interpreted as a difference in information processing modifying beliefs concerning the likelihood of uncertain events, and therefore influencing risk evaluation.

Ruin Theory with Excess of Loss Reinsurance and Reinstatements

The present paper studies the probability of ruin of an insurer, if excess of loss reinsurance with reinstatements is applied. In the setting of the classical Cramer-Lundberg risk model, piecewise deterministic Markov processes are used to describe the free surplus process in this more general situation. It is shown that the finite-time ruin probability is both the solution of a partial integro-differential equation and the fixed point of a contractive integral operator. We exploit the latter representation to develop and implement a recursive algorithm for numerical approximation of the ruin probability that involves high-dimensional integration. Furthermore we study the behavior of the finite-time ruin probability under various levels of initial surplus and security loadings and compare the efficiency of the numerical algorithm with the computational alternative of stochastic simulation of the risk process. (C) 2011 Elsevier Inc. All rights reserved.

A test of Jessor's problem behavior theory in a Eurasian and a Western European developmental context.

PURPOSE: The current study tested the applicability of Jessor's problem behavior theory (PBT) in national probability samples from Georgia and Switzerland. Comparisons focused on (1) the applicability of the problem behavior syndrome (PBS) in both developmental contexts, and (2) on the applicability of employing a set of theory-driven risk and protective factors in the prediction of problem behaviors. METHODS: School-based questionnaire data were collected from n = 18,239 adolescents in Georgia (n = 9499) and Switzerland (n = 8740) following the same protocol. Participants rated five measures of problem behaviors (alcohol and drug use, problems because of alcohol and drug use, and deviance), three risk factors (future uncertainty, depression, and stress), and three protective factors (family, peer, and school attachment). Final study samples included n = 9043 Georgian youth (mean age = 15.57; 58.8% females) and n = 8348 Swiss youth (mean age = 17.95; 48.5% females). Data analyses were completed using structural equation modeling, path analyses, and post hoc z-tests for comparisons of regression coefficients. RESULTS: Findings indicated that the PBS replicated in both samples, and that theory-driven risk and protective factors accounted for 13% and 10% in Georgian and Swiss samples, respectively in the PBS, net the effects by demographic variables. Follow-up z-tests provided evidence of some differences in the magnitude, but not direction, in five of six individual paths by country. CONCLUSION: PBT and the PBS find empirical support in these Eurasian and Western European samples; thus, Jessor's theory holds value and promise in understanding the etiology of adolescent problem behaviors outside of the United States.

Employment risk, unemployment insurance and search strategies: a disaggregated equilibrium approach with application to the Swiss labour market in the 1990-ies

The Organization of the Thesis The remainder of the thesis comprises five chapters and a conclusion. The next chapter formalizes the envisioned theory into a tractable model. Section 2.2 presents a formal description of the model economy: the individual heterogeneity, the individual objective, the UI setting, the population dynamics and the equilibrium. The welfare and efficiency criteria for qualifying various equilibrium outcomes are proposed in section 2.3. The fourth section shows how the model-generated information can be computed. Chapter 3 transposes the model from chapter 2 in conditions that enable its use in the analysis of individual labor market strategies and their implications for the labor market equilibrium. In section 3.2 the Swiss labor market data sets, stylized facts, and the UI system are presented. The third section outlines and motivates the parameterization method. In section 3.4 the model's replication ability is evaluated and some aspects of the parameter choice are discussed. Numerical solution issues can be found in the appendix. Chapter 4 examines the determinants of search-strategic behavior in the model economy and its implications for the labor market aggregates. In section 4.2, the unemployment duration distribution is examined and related to search strategies. Section 4.3 shows how the search- strategic behavior is influenced by the UI eligibility and section 4.4 how it is determined by individual heterogeneity. The composition effects generated by search strategies in labor market aggregates are examined in section 4.5. The last section evaluates the model's replication of empirical unemployment escape frequencies reported in Sheldon [67]. Chapter 5 applies the model economy to examine the effects on the labor market equilibrium of shocks to the labor market risk structure, to the deep underlying labor market structure and to the UI setting. Section 5.2 examines the effects of the labor market risk structure on the labor market equilibrium and the labor market strategic behavior. The effects of alterations in the labor market deep economic structural parameters, i.e. individual preferences and production technology, are shown in Section 5.3. Finally, the UI setting impacts on the labor market are studied in Section 5.4. This section also evaluates the role of the UI authority monitoring and the differences in the Way changes in the replacement rate and the UI benefit duration affect the labor market. In chapter 6 the model economy is applied in counterfactual experiments to assess several aspects of the Swiss labor market movements in the nineties. Section 6.2 examines the two equilibria characterizing the Swiss labor market in the nineties, the " growth" equilibrium with a "moderate" UI regime and the "recession" equilibrium with a more "generous" UI. Section 6.3 evaluates the isolated effects of the structural shocks, while the isolated effects of the UI reforms are analyzed in section 6.4. Particular dimensions of the UI reforms, the duration, replacement rate and the tax rate effects, are studied in section 6.5, while labor market equilibria without benefits are evaluated in section 6.6. In section 6.7 the structural and institutional interactions that may act as unemployment amplifiers are discussed in view of the obtained results. A welfare analysis based on individual welfare in different structural and UI settings is presented in the eighth section. Finally, the results are related to more favorable unemployment trends after 1997. The conclusion evaluates the features embodied in the model economy with respect to the resulting model dynamics to derive lessons from the model design." The thesis ends by proposing guidelines for future improvements of the model and directions for further research.

Less Risk, More Effort : Demand Risk Allocation in Incomplete Contracts

This article investigates the allocation of demand risk within an incomplete contract framework. We consider an incomplete contractual relationship between a public authority and a private provider (i.e. a public-private partnership), in which the latter invests in non-verifiable cost-reducing efforts and the former invests in non-verifiable adaptation efforts to respond to changing consumer demand over time. We show that the party that bears the demand risk has fewer hold-up opportunities and that this leads the other contracting party to make more effort. Thus, in our model, bearing less risk can lead to more effort, which we describe as a new example of âeuro~counter-incentivesâeuro?. We further show that when the benefits of adaptation are important, it is socially preferable to design a contract in which the demand risk remains with the private provider, whereas when the benefits of cost-reducing efforts are important, it is socially preferable to place the demand risk on the public authority. We then apply these results to explain two well-known case studies.

P value and the theory of hypothesis testing: an explanation for new researchers.

In the 1920s, Ronald Fisher developed the theory behind the p value and Jerzy Neyman and Egon Pearson developed the theory of hypothesis testing. These distinct theories have provided researchers important quantitative tools to confirm or refute their hypotheses. The p value is the probability to obtain an effect equal to or more extreme than the one observed presuming the null hypothesis of no effect is true; it gives researchers a measure of the strength of evidence against the null hypothesis. As commonly used, investigators will select a threshold p value below which they will reject the null hypothesis. The theory of hypothesis testing allows researchers to reject a null hypothesis in favor of an alternative hypothesis of some effect. As commonly used, investigators choose Type I error (rejecting the null hypothesis when it is true) and Type II error (accepting the null hypothesis when it is false) levels and determine some critical region. If the test statistic falls into that critical region, the null hypothesis is rejected in favor of the alternative hypothesis. Despite similarities between the two, the p value and the theory of hypothesis testing are different theories that often are misunderstood and confused, leading researchers to improper conclusions. Perhaps the most common misconception is to consider the p value as the probability that the null hypothesis is true rather than the probability of obtaining the difference observed, or one that is more extreme, considering the null is true. Another concern is the risk that an important proportion of statistically significant results are falsely significant. Researchers should have a minimum understanding of these two theories so that they are better able to plan, conduct, interpret, and report scientific experiments.

AT-RISK ALCOHOL USE IN YOUNG ADULTS - EFFECTIVENESS AND MECHANISMS OF BRIEF MOTIVATIONAL INTERVENTION AS A PRIMARY AND SECONDARY PREVENTION MEASURE

SummaryThe alcohol use of adolescents and young adults is one of the world's most important and costliest health problems. Particularly, binge drinking (i.e. drinking an important amount of alcohol in one occasion) among young people increase the risk of detrimental consequences such as blackouts, injuries, at-risk sexual behaviors, involvement in violent acts, academic failure, and suicide attempts. In countries with mandatory conscription mechanisms, such as Switzerland, the army provides a unique opportunity to reach a large portion of this high risk population. We used this sample to evaluate the prevalence of binge drinking among young men, to test the efficacy of brief motivational interventions (BMI) as a primary and secondary preventive measure, and to examine the mechanisms underlying BMI in this age group.We showed that binge drinking among young French-speaking Swiss men is less of an exception than it is the norm. Of those using alcohol, 75.5% had a binge drinking episode at least monthly, and 69.3% of all consumption reported in a one-week diary was due to binge drinking days.We used two different inclusion modes to evaluate the success of alcohol BMI. In the first randomized controlled trial, inclusion relied on a random selection of conscripts. BMI efficacy was evaluated in a sample of conscripts who visited the army recruitment centre that is potentially generalizable to the entire population. In the second randomized controlled trial, we included subjects voluntarily participating in BMI. This venue might be more realistic for young adults; it is more akin to the MI spirit, in which it is crucial for individuals to control their own decisions.Regarding BMI efficacy as a secondary prevention measure (i.e. to help decrease alcohol use among at-risk drinkers, defined here as those having a binge drinking episode at least monthly), it was effective among randomly selected at-risk drinkers, whereas it was not effective among at-risk drinkers who voluntarily showed up. Individuals who showed interest in BMI had more severe patterns of alcohol use, which may have made change more difficult and calls for treatment that is more intensive. BMI demonstrated a 20% reduction in weekly alcohol use among randomly selected participants, indicating potential interest in BMI implementation within similar community settings.Regarding BMI efficacy as a primary prevention measure (i.e. to help maintain low levels of use among low-risk drinkers), it had significant protective effects among low-risk drinkers voluntarily showing up whereas it was not effective among low-risk drinkers randomly selected. This suggests that BMI might help young individuals keep their drinking at low levels, especially when they are interested in discussing their alcohol use. Therefore, BMI has potentially promising uses in primary prevention efforts. The content of these interventions for low-risk drinkers who do not seek BMI on their own should be further evaluated.BMI mechanisms were addressed since little is known about exactly which elements of it work, or which of the counselor and subject communication behaviors are most effective in triggering behavior changes. The causal chain hypothesis developed in the motivational interviewing (MI) theory was followed, and it was found that counselor behaviors consistent with the MI approach (MICO) were significantly more likely to be followed by participant language in favor of change (change talk, CT), while behaviors inconsistent with MI (MIIN) were significantly less likely to do so. Several CT dimensions measured during BMI (particularly Ability, Desire, and Need to change) were predictive of change in alcohol use. Our findings lend strong support for the use of MICO behaviors and the avoidance of MIIN behaviors in eliciting CT, and point out that particular attention should be paid to the utterances in several sub-dimensions of CT and to the strength of expression, since these are good indicators of potential actual behavior change in future.RésuméLa consommation d'alcool chez les adolescents et les jeunes adultes est un des problèmes de santé les plus importants et les plus coûteux dans le monde. En particulier, les consommations importantes d'alcool en une occasion (binge drinking) parmi les jeunes adultes ont été liées à des conséquences telles que pertes de connaissance, accidents et blessures, comportements sexuels à risque, violences, difficultés scolaires et tentatives de suicide. Les pays qui, comme la Suisse, connaissent un processus de recrutement obligatoire pour l'armée offrent une opportunité unique d'atteindre une large portion de cette population à hauts risques. Nous avons utilisé cet échantillon pour évaluer la prévalence du binge drinking parmi les jeunes hommes, pour tester l'efficacité de l'intervention brève motivationnelle (IBM) comme mesure de prévention primaire et secondaire, et pour examiner les mécanismes sous-tendant ce type d'interventions.La première partie de cette étude montre que le binge drinking est moins une exception que la norme parmi les jeunes hommes suisses francophones. 75.5% des personnes consommant de l'alcool avaient au moins un épisode de binge drinking par mois et 69.3% du total des boissons alcoolisées reportées comme consommation de la semaine précédant le questionnaire avaient été consommées lors d'épisodes de binge drinking.Pour évaluer l'efficacité de l'IBM dans ce cadre, nous avons utilisé deux modes d'inclusion. Dans une première étude randomisée contrôlée, nous avons inclus des personnes sélectionnées au hasard parmi toutes celles se présentant au centre de recrutement, créant ainsi un groupe potentiellement représentatif de l'ensemble du collectif. Dans la deuxième étude randomisée contrôlée, nous avons inclus des sujets se présentant volontairement pour recevoir une IBM, prendre des volontaires pouvant être plus proche de la réalité et plus proche de l'esprit motivationnel dans lequel il est crucial que l'individu contrôle ses décisions.En regardant l'IBM comme mesure de prévention secondaire (c'est-à-dire aider à diminuer la consommation d'alcool chez les consommateurs à risque, définis ici comme au moins un épisode de binge drinking par mois), l'IBM était efficace lorsque les participants étaient inclus au hasard et inefficace lorsqu'ils étaient volontaires. Les jeunes hommes volontaires pour un IBM avaient un mode de consommation particulièrement sévère qui pourrait être plus difficile à changer et nécessiter un traitement plus intensif. Parmi les personnes sélectionnées au hasard, l'IBM permettait une diminution de 20% de la consommation hebdomadaire d'alcool, montrant l'intérêt potentiel d'une implémentation de ce type de mesures dans des contextes communautaires similaires.En ce qui concerne l'IBM comme mesure de prévention primaire (c'est-à-dire aider à maintenir une consommation à bas risque chez les consommateurs à bas risque), l'IBM avaient un effet protectif significatif parmi les jeunes hommes volontaires pour une IBM, mais pas d'effet chez ceux sélectionnés au hasard. Ces résultats suggèrent que l'IBM pourrait aider de jeunes personnes à maintenir un niveau de consommation à bas risque si celles-ci s'intéressent à discuter cette consommation et aurait ainsi un potentiel intéressant comme mesure de prévention primaire. Le contenu de l'IBM pour des consommateurs à bas risque non-volontaires pour une IBM devra encore être évalué.Nous avons ensuite examiné les mécanismes de l'IBM car son fonctionnement est encore peu expliqué et les comportements de l'intervenant et du sujet les plus à même de provoquer le changement ne sont pas bien définis. En suivant l'hypothèse d'une chaine causale développée dans la littérature de l'entretien motivationnel (EM), nous avons pu montrer qu'un discours en faveur du changement chez le sujet était plus probable après des comportements de l'intervenant recommandés dans l'EM et moins probable après des comportements à éviter dans l'EM ; et que plusieurs dimensions de ce discours en faveur du changement (notamment la capacité, le désir et le besoin de changer) prédisaient un changement effectif dans la consommation d'alcool. Ces résultats encouragent donc à utiliser des comportements recommandés dans l'EM pour favoriser un discours en faveur du changement. Ils montrent aussi qu'une attention particulière doit être portée à la fréquence et à la force avec laquelle sont exprimées certaines dimensions de ce discours car ceux-ci indiquent un potentiel changement effectif de comportement.Résumé vulgariséLa consommation d'alcool chez les adolescents et les jeunes adultes est un des problèmes de santé les plus importants et les plus coûteux dans le monde. En particulier, les consommations importantes d'alcool en une occasion (binge drinking) parmi les jeunes adultes augmentent fortement les risques de conséquences telles que pertes de connaissance, accidents et blessures, comportements sexuels à risque, violences, difficultés scolaires et tentatives de suicide. Les pays qui, comme la Suisse, connaissent un processus de recrutement obligatoire pour l'armée offrent une opportunité unique d'atteindre une large portion de cette population à hauts risques. Nous avons utilisé cet échantillon pour évaluer l'importance du phénomène de binge drinking, pour tester l'efficacité de l'intervention brève motivationnelle (IBM) comme mesure de prévention de la consommation à risque d'alcool, et pour examiner comment fonctionne ce type d'interventions.La première partie de cette étude montre que le binge drinking est moins une exception que la norme parmi les jeunes hommes suisses francophones. Trois quart des personnes consommant de l'alcool avaient au moins un épisode de binge drinking par mois. Presque 70% du total des boissons alcoolisées consommées durant la semaine précédant le questionnaire avaient été consommées lors d'épisodes de binge drinking.Nous avons ensuite mené deux études pour évaluer l'efficacité de l'IBM dans ce cadre. Dans une première étude, nous avons sélectionné des personnes au hasard parmi toutes celles se présentant au centre de recrutement, créant ainsi un groupe potentiellement représentatif de l'ensemble du collectif. Dans la deuxième étude, nous avons inclus toutes les personnes se présentant volontairement pour recevoir une IBM, prendre des volontaires pouvant être plus proche de la réalité et plus proche de l'approche motivationnelle dans laquelle il est crucial que l'individu contrôle ses décisions. Dans les deux études, nous testions l'efficacité de l'IBM comme mesure de prévention primaire et secondaire (voir ci-dessous).En regardant l'IBM comme mesure de prévention secondaire (c'est-à-dire aider à diminuer la consommation d'alcool chez les consommateurs à risque, définis ici comme au moins un épisode de binge drinking par mois), l'IBM était efficace lorsque les participants étaient inclus au hasard et inefficace lorsqu'ils étaient volontaires. Les jeunes hommes volontaires pour un IBM avaient un mode de consommation particulièrement sévère qui pourrait être plus difficile à changer et nécessiter un traitement plus intensif. Parmi les personnes sélectionnées au hasard, l'IBM permettait une diminution de 20% de la consommation hebdomadaire d'alcool, montrant l'intérêt potentiel de la mise en place de ce type de mesures dans des contextes communautaires similaires.En ce qui concerne l'IBM comme mesure de prévention primaire (c'est-à-dire aider à maintenir une consommation à bas risque chez les consommateurs à bas risque), l'IBM avaient un effet protectif parmi les jeunes hommes volontaires pour une IBM, mais pas d'effet chez ceux sélectionnés au hasard. Ces résultats suggèrent que l'IBM pourrait aider de jeunes personnes à maintenir un niveau de consommation à bas risque si celles-ci s'intéressent à discuter de cette consommation. Le contenu de l'IBM pour des consommateurs à bas risque non-volontaires pour une IBM devra encore être évalué.Nous avons ensuite examiné le fonctionnement de l'IBM et cherché quels comportements de l'intervenant et du jeune homme pouvaient être les plus à même d'amener à un changement dans la consommation. Nous avons pu montrer que 1) un discours en faveur du changement chez le jeune homme était plus probable après des comportements de l'intervenant recommandés dans l'approche motivationnelle et moins probable après des comportements non-recommandés ; et 2) plusieurs dimensions de ce discours en faveur du changement (notamment la capacité, le désir et le besoin de changer) prédisaient un changement effectif dans la consommation d'alcool. Ces résultats encouragent donc à utiliser des comportements recommandés dans l'EM pour favoriser un discours en faveur du changement. Ils montrent aussi qu'une attention particulière doit être portée à certaines dimensions de ce discours car celles-ci indiquent un potentiel changement effectif de comportement.

Graph theory reveals dysconnected hubs in 22q11DS and altered nodal efficiency in patients with hallucinations.

Schizophrenia is postulated to be the prototypical dysconnection disorder, in which hallucinations are the core symptom. Due to high heterogeneity in methodology across studies and the clinical phenotype, it remains unclear whether the structural brain dysconnection is global or focal and if clinical symptoms result from this dysconnection. In the present work, we attempt to clarify this issue by studying a population considered as a homogeneous genetic sub-type of schizophrenia, namely the 22q11.2 deletion syndrome (22q11.2DS). Cerebral MRIs were acquired for 46 patients and 48 age and gender matched controls (aged 6-26, respectively mean age = 15.20 ± 4.53 and 15.28 ± 4.35 years old). Using the Connectome mapper pipeline (connectomics.org) that combines structural and diffusion MRI, we created a whole brain network for each individual. Graph theory was used to quantify the global and local properties of the brain network organization for each participant. A global degree loss of 6% was found in patients' networks along with an increased Characteristic Path Length. After identifying and comparing hubs, a significant loss of degree in patients' hubs was found in 58% of the hubs. Based on Allen's brain network model for hallucinations, we explored the association between local efficiency and symptom severity. Negative correlations were found in the Broca's area (p < 0.004), the Wernicke area (p < 0.023) and a positive correlation was found in the dorsolateral prefrontal cortex (DLPFC) (p < 0.014). In line with the dysconnection findings in schizophrenia, our results provide preliminary evidence for a targeted alteration in the brain network hubs' organization in individuals with a genetic risk for schizophrenia. The study of specific disorganization in language, speech and thought regulation networks sharing similar network properties may help to understand their role in the hallucination mechanism.