Contractive probability metrics and asymptotic behavior of dissipative kinetic equations

The present notes are intended to present a detailed review of the existing results in dissipative kinetic theory which make use of the contraction properties of two main families of probability metrics: optimal mass transport and Fourier-based metrics. The first part of the notes is devoted to a self-consistent summary and presentation of the properties of both probability metrics, including new aspects on the relationships between them and other metrics of wide use in probability theory. These results are of independent interest with potential use in other contexts in Partial Differential Equations and Probability Theory. The second part of the notes makes a different presentation of the asymptotic behavior of Inelastic Maxwell Models than the one presented in the literature and it shows a new example of application: particle's bath heating. We show how starting from the contraction properties in probability metrics, one can deduce the existence, uniqueness and asymptotic stability in classical spaces. A global strategy with this aim is set up and applied in two dissipative models.

Scenario-based assessment of future land use change on butterfly species distributions

Species distribution models (SDMs) are increasingly used to predict environmentally induced range shifts of habitats of plant and animal species. Consequently SDMs are valuable tools for scientifically based conservation decisions. The aims of this paper are (1) to identify important drivers of butterfly species persistence or extinction, and (2) to analyse the responses of endangered butterfly species of dry grasslands and wetlands to likely future landscape changes in Switzerland. Future land use was represented by four scenarios describing: (1) ongoing land use changes as observed at the end of the last century; (2) a liberalisation of the agricultural markets; (3) a slightly lowered agricultural production; and (4) a strongly lowered agricultural production. Two model approaches have been applied. The first (logistic regression with principal components) explains what environmental variables have significant impact on species presence (and absence). The second (predictive SDM) is used to project species distribution under current and likely future land uses. The results of the explanatory analyses reveal that four principal components related to urbanisation, abandonment of open land and intensive agricultural practices as well as two climate parameters are primary drivers of species occurrence (decline). The scenario analyses show that lowered agricultural production is likely to favour dry grassland species due to an increase of non-intensively used land, open canopy forests, and overgrown areas. In the liberalisation scenario dry grassland species show a decrease in abundance due to a strong increase of forested patches. Wetland butterfly species would decrease under all four scenarios as their habitats become overgrown

Job accessibility and employment probability

The objective of this paper is to estimate the impact of residential job accessibility on female employment probability in the metropolitan areas of Barcelona and Madrid. Following a “spatial mismatch” framework, we estimate a female employment probability equation where variables controlling for personal characteristics, residential segregation and employment potential on public transport network are included. Data used come from Microcensus 2001 of INE (National Institute of Statistics). The research focuses on the treatment of endogeneity problems and the measurement of accessibility variables. Our results show that low job accessibility in public transport negatively affects employment probability. The intensity of this effect tends to decrease with individual’s educational attainment. A higher degree of residential segregation also reduces job probability in a significant way..

Export-market dynamics and the probability of firm closure: Evidence for the UK

This study presents the first empirical analysis of the determinants of firm closure in the UK with an emphasis on the role of export-market dynamics, using panel data for a nationally representative group of firms operating in all-market based sectors during 1997-2003. Our findings show that the probability of closure is (cet. par.) significantly lower for exporters, particularly those experiencing export-market entry and exit. Having controlled for other attributes associated with productivity (such as size and export status), the following factors are found to increase the firm’s survival prospects: higher capital intensity and TFP, foreign ownership, young age, displacement effects (through relatively high rates of entry of firms in each industry), and belonging to certain industries. Interestingly, increased import penetration (a proxy for lower trade costs) leads to a lower hazard rate for exporting entrants and continuous exporters, whilst inducing a higher hazard rate for domestic producers or those that quit exporting.

Separating Myth from Probability: the Origins and Evolution of QWERTY

We use basic probability theory and simple replicable electronic search experiments to evaluate some reported “myths” surrounding the origins and evolution of the QWERTY standard. The resulting evidence is strongly supportive of arguments put forward by Paul A. David (1985) and W. Brian Arthur (1989) that QWERTY was path dependent with its course of development strongly influenced by specific historical circumstances. The results also include the unexpected finding that QWERTY was as close to an optimal solution to a serious but transient problem as could be expected with the resources at the disposal of its designers in 1873.

Point-occurrence self-similarity in crackling-noise systems and in other complex systems

It has been recently found that a number of systems displaying crackling noise also show a remarkable behavior regarding the temporal occurrence of successive events versus their size: a scaling law for the probability distributions of waiting times as a function of a minimum size is fulfilled, signaling the existence on those systems of self-similarity in time-size. This property is also present in some non-crackling systems. Here, the uncommon character of the scaling law is illustrated with simple marked renewal processes, built by definition with no correlations. Whereas processes with a finite mean waiting time do not fulfill a scaling law in general and tend towards a Poisson process in the limit of very high sizes, processes without a finite mean tend to another class of distributions, characterized by double power-law waiting-time densities. This is somehow reminiscent of the generalized central limit theorem. A model with short-range correlations is not able to escape from the attraction of those limit distributions. A discussion on open problems in the modeling of these properties is provided.

Comparing population distributions from bin-aggregated sample data: an application to historical height data from France

This paper develops a methodology to estimate the entire population distributions from bin-aggregated sample data. We do this through the estimation of the parameters of mixtures of distributions that allow for maximal parametric flexibility. The statistical approach we develop enables comparisons of the full distributions of height data from potential army conscripts across France's 88 departments for most of the nineteenth century. These comparisons are made by testing for differences-of-means stochastic dominance. Corrections for possible measurement errors are also devised by taking advantage of the richness of the data sets. Our methodology is of interest to researchers working on historical as well as contemporary bin-aggregated or histogram-type data, something that is still widely done since much of the information that is publicly available is in that form, often due to restrictions due to political sensitivity and/or confidentiality concerns.

On the existence of hysteresis in the Kuramoto model with bimodal frequency distributions

We investigate the transition to synchronization in the Kuramoto model with bimodal distributions of the natural frequencies. Previous studies have concluded that the model exhibits a hysteretic phase transition if the bimodal distribution is close to a unimodal one, due to the shallowness the central dip. Here we show that proximity to the unimodal-bimodal border does not necessarily imply hysteresis when the width, but not the depth, of the central dip tends to zero. We draw this conclusion from a detailed study of the Kuramoto model with a suitable family of bimodal distributions.

Health care supply, payment system and medical practice : evidence from obstetric practice

ABSTRACTA significant share of deliveries are performed by Cesarian section (C-section) in Europe and in many developed and developing countries. The aims of this thesis are to highlight the non medical, especially economic and financial, incentives that explain the use of C-section, as well as the medical consequences of C-section on women's health, in regard with other factors of ob¬stetrical care quality such as hospital concentration. Those diagnoses enable us to exhibit ways of improvement of obstetrical care quality in France. Our analysis focus on two countries, France and Switzerland. In the first part of the thesis, we show the influence of two non medical factors on the C-section use, namely the hospital payment system on the one hand and the obstetricians behaviour, especially their demand for leisure, on the other hand. With French data on the year 2003, we show firstly that the fee-for-service payment system of private for profit hospitals induces a higher probability of using C-section. Obstetricians play also a preeminent role in the decision to use a C-section, as the probability of a C-section rises with the number of obstetricians. We then focus on a French reform introduced in 2004, to investigate the impact of Prospective Payment System on obstetric practise. We show that the rise of C-section rate between 2003 and 2006 is mainly caused by changes in hospitals and patients features. Obstetricians practises do not vary a lot for patients with the same risk code. In the mean time however, the number of women coded with a high risk rises. This can be caused by improvements in the quality of coding, obstetricians chosing codes that match better the real health state of their patients. Yet, it can also show that obstetricians change their coding practises to justify the use of certain practises, such as C-section, with no regard to the health state of patients. Financial factors are not the only non medical fac¬tors that can influence the resort to C-section. Using Shelton Brown ΠΙ identification strategy, we focus on the potential impact of obstetricians leisure preference on the use of C-section. We use the distributions of days and hours of delivering and the types of C-section - planned or emergency C-sections - to show that the obstetricians demand for leisure has a significant impact on the resort to C-section, but only in emergency situations. The second part of the thesis deals with some ways to improve obstetric care quality. We use on the one hand swiss and french data to study the impact of C-section on the patients' probability of having an obstetric complication and on the other hand the influence of hospital concentration on the quality of obstetric care. We find the same results as former medical studies about the risks entailed by C-section on obstetric complications.These results prove women ought to be better informed of the medical consequences of C-section and that the slowing of C-section use should be a priority of public health policy. We finally focus on another way to improve obstetric care quality, that is hospital lmarket concentration. We investigate the impact of hospital concentration by integrating the Herfindahl-Hirschman index in our model, on health care quality, measured by the HCUP indicator. We find that hospital concentration has a negative impact on obstetric care quality, which undermines today's policy of hospital closings in France.JEL classification: 112; 118Keywords: Hospital; C-section; Payment System; Counterfactual Estimation; Quality of Care.RÉSUMÉUne part importante des accouchements sont réalisés par césarienne en Europe et dans de nom¬breux pays développés ou en développement. Les objectifs de cette thèse sont de mettre en évidence les déterminants non médicaux, notamment économiques et financiers, expliquant le développe¬ment de cette pratique, ainsi que ses conséquences sur la santé des femmes après Γ accouchement, en lien avec d'autres facteurs comme la concentration locale des structures hospitalières. Les résul¬tats exposés dans cette thèse éclairent les perspectives et voies d'amélioration de la qualité des soins en obstétriques.Notre analyse se concentre sur deux pays : la France et la Suisse. Dans la première partie de la thèse, nous mettons en évidence l'influence de deux déterminants non médicaux sur l'emploi de la césarienne : le système de paiement des hôpitaux d'une part, et le comportement des médecins obstétriciens d'autre part. En étudiant des données françaises de 2003, nous montrons d'abord que le financement à l'acte des établissements privés engendre une hausse de la proba¬bilité de pratiquer une césarienne. Le rôle de l'obstrétricien paraît également déterminant dans la décision d'opérer une césarienne, la probabilité d'employer cette technique augmentant avec le nombre d'obstétriciens. Nous nous intéressons ensuite à l'impact de la mise en place en 2004 du système de paiement prospectif sur l'évolution des pratiques obstétricales entre 2003 et 2006 en France. La hausse du taux de recours à la césarienne entre 2004 et 2006 peut ainsi être principa¬lement imputée aux évolutions des caractéristiques des hôpitaux et des patients, les pratiques des obstétriciens, pour un même codage de la situation du patient, variant peu. Dans le même temps cependant, les pratiques de codage des patients parles obstétriciens évoluent fortement, les femmes étant de plus en plus nombreuses à porter des codes correspondant à des situations à risques. Cette évolution peut indiquer que la qualité du codage en 2006 s'est améliorée par rapport à 2004, le codage correspondant de plus en plus à la situation réelle des patientes. H peut aussi indiquer que les pratiques de codage évoluent pour justifier un recours accru à la césarienne, sans lien avec l'état réel des patientes. Les facteurs financiers ne sont pas les seuls facteurs non médicaux à pouvoir expliquer le recours à la césarienne : nous nous intéressons, en suivant la stratégie d'identifica¬tion de Shelton Brown m, à l'impact potentiel de la demande de loisir des médecins obstétriciens sur la pratique de la césarienne. En utilisant la distribution des jours et heures d'accouchement, et en distinguant les césariennes planifiées de celles effectuées en urgence, nous constatons que la demande de loisir des obstétriciens influence significativement le recours à la césarienne, mais uni¬quement pour les interventions d'urgence. La deuxième partie de la thèse est consacrée à l'étude de la qualité des soins en obstétriques. Nous utilisons des données suisses et françaises pour analyser d'une part l'impact de la césarienne sur la survenue de complications obstétricales et d'autre part l'impact de la concentration des soins sur la qualité des soins en obstétrique. Nons confirmons les résultats antérieurs de la littérature médicale sur la dangerosité de la césarienne comme facteur de complications obstétricales. Ces conclusions montrent que les femmes ont besoin d'être informées des conséquences de la césarienne sur leur santé et que le ralentissement de l'augmentation de la pratique de la césarienne devrait être un objectif de la politique publique de santé. Nous nous in¬téressons à un autre facteur d'amélioration des soins en obstrétique, l'organisation des hôpitaux et particulièrement leur concentration. Nous estimons ainsi l'effet de la concentration sur la qualité des soins obstétriques en intégrant l'indice de Herfindahl-Hirschman dans notre modèle, la qualité des soins étant mesurée à l'aide de l'indicateur HCUP. Nous constatons que la concentration des naissances a un impact négatif sur la qualité des soins en obstétrique, résultat qui va dans le sens contraire des politiques de fermeture d'hôpitaux menées actuellement en France. JEL classification : 112 ; 118Mots-clés : Hôpital ; Césarienne ; Système de paiement ; Contrefactuels ; Qualité des soins, sur la qualité des soins en obstétrique.

Effects of anxiety on visuospatial pattern discrimination and decision-making processes: what can we learn from brain dynamics ?

Detection and discrimination of visuospatial input involve at least extracting, selecting and encoding relevant information and decision-making processes allowing selecting a response. These two operations are altered, respectively, by attentional mechanisms that change discrimination capacities, and by beliefs concerning the likelihood of uncertain events. Information processing is tuned by the attentional level that acts like a filter on perception, while decision-making processes are weighed by subjective probability of risk. In addition, it has been shown that anxiety could affect the detection of unexpected events through the modification of the level of arousal. Consequently, purpose of this study concerns whether and how decision-making and brain dynamics are affected by anxiety. To investigate these questions, the performance of women with either a high (12) or a low (12) STAI-T (State-Trait Anxiety Inventory, Spielberger, 1983) was examined in a decision-making visuospatial task where subjects have to recognize a target visual pattern from non-target patterns. The target pattern was a schematic image of furniture arranged in such a way as to give the impression of a living room. Non-target patterns were created by either the compression or the dilatation of the distances between objects. Target and non-target patterns were always presented in the same configuration. Preliminary behavioral results show no group difference in reaction time. In addition, visuo-spatial abilities were analyzed trough the signal detection theory for quantifying perceptual decisions in the presence of uncertainty (Green and Swets, 1966). This theory treats detection of a stimulus as a decision-making process determined by the nature of the stimulus and cognitive factors. Astonishingly, no difference in d' (corresponding to the distance between means of the distributions) and c (corresponds to the likelihood ratio) indexes was observed. Comparison of Event-related potentials (ERP) reveals that brain dynamics differ according to anxiety. It shows differences in component latencies, particularly a delay in anxious subjects over posterior electrode sites. However, these differences are compensated during later components by shorter latencies in anxious subjects compared to non-anxious one. These inverted effects seem indicate that the absence of difference in reaction time rely on a compensation of attentional level that tunes cortical activation in anxious subjects, but they have to hammer away to maintain performance.

An Introduction to parametric and non-parametric models for bivariate positive insurance claim severity distributions

We present a real data set of claims amounts where costs related to damage are recorded separately from those related to medical expenses. Only claims with positive costs are considered here. Two approaches to density estimation are presented: a classical parametric and a semi-parametric method, based on transformation kernel density estimation. We explore the data set with standard univariate methods. We also propose ways to select the bandwidth and transformation parameters in the univariate case based on Bayesian methods. We indicate how to compare the results of alternative methods both looking at the shape of the overall density domain and exploring the density estimates in the right tail.

Bayesian classification criterion for forensic multivariate data

This study presents a classification criteria for two-class Cannabis seedlings. As the cultivation of drug type cannabis is forbidden in Switzerland, law enforcement authorities regularly ask laboratories to determine cannabis plant's chemotype from seized material in order to ascertain that the plantation is legal or not. In this study, the classification analysis is based on data obtained from the relative proportion of three major leaf compounds measured by gas-chromatography interfaced with mass spectrometry (GC-MS). The aim is to discriminate between drug type (illegal) and fiber type (legal) cannabis at an early stage of the growth. A Bayesian procedure is proposed: a Bayes factor is computed and classification is performed on the basis of the decision maker specifications (i.e. prior probability distributions on cannabis type and consequences of classification measured by losses). Classification rates are computed with two statistical models and results are compared. Sensitivity analysis is then performed to analyze the robustness of classification criteria.

Theoretical estimates of consumable food and probability of acquiring food in larvae of Chrysomya putoria (Diptera: Calliphoridae)

An indirect estimate of consumable food and probability of acquiring food in a blowfly species, Chrysomya putoria, is presented. This alternative procedure combines three distinct models to estimate consumable food in the context of the exploitative competition experienced by immature individuals in blowfly populations. The relevant parameters are derived from data for pupal weight and survival and estimates of density-independent larval mortality in twenty different larval densities. As part of this procedure, the probability of acquiring food per unit of time and the time taken to exhaust the food supply are also calculated. The procedure employed here may be valuable for estimations in insects whose immature stages develop inside the food substrate, where it is difficult to partial out confounding effects such as separation of faeces. This procedure also has the advantage of taking into account the population dynamics of immatures living under crowded conditions, which are particularly characteristic of blowflies and other insects as well.

Progesterone down-regulates the open probability of the amiloride-sensitive epithelial sodium channel via a Nedd4-2-dependent mechanism.

Activation of the mitogen-activated protein (MAP) kinase cascade by progesterone in Xenopus oocytes leads to a marked down-regulation of activity of the amiloride-sensitive epithelial sodium channel (ENaC). Here we have studied the signaling pathways involved in progesterone effect on ENaC activity. We demonstrate that: (i) the truncation of the C termini of the alphabetagammaENaC subunits results in the loss of the progesterone effect on ENaC; (ii) the effect of progesterone was also suppressed by mutating conserved tyrosine residues in the Pro-X-X-Tyr (PY) motif of the C termini of the beta and gamma ENaC subunits (beta(Y618A) and gamma(Y628A)); (iii) the down-regulation of ENaC activity by progesterone was also suppressed by co-expression ENaC subunits with a catalytically inactive mutant of Nedd4-2, a ubiquitin ligase that has been previously demonstrated to decrease ENaC cell-surface expression via a ubiquitin-dependent internalization/degradation mechanism; (iv) the effect of progesterone was significantly reduced by suppression of consensus sites (beta(T613A) and gamma(T623A)) for ENaC phosphorylation by the extracellular-regulated kinase (ERK), a MAP kinase previously shown to facilitate the binding of Nedd4 ubiquitin ligases to ENaC; (v) the quantification of cell-surface-expressed ENaC subunits revealed that progesterone decreases ENaC open probability (whole cell P(o), wcP(o)) and not its cell-surface expression. Collectively, these results demonstrate that the binding of active Nedd4-2 to ENaC is a crucial step in the mechanism of ENaC inhibition by progesterone. Upon activation of ERK, the effect of Nedd4-2 on ENaC open probability can become more important than its effect on ENaC cell-surface expression.

On left-truncating and mixing Poisson distributions

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