On the design of customized risk measures in insurance, the problem of capital allocation and the theory of fluctuations for Lévy processes

Dans cette thèse, nous étudions quelques problèmes fondamentaux en mathématiques financières et actuarielles, ainsi que leurs applications. Cette thèse est constituée de trois contributions portant principalement sur la théorie de la mesure de risques, le problème de l’allocation du capital et la théorie des fluctuations. Dans le chapitre 2, nous construisons de nouvelles mesures de risque cohérentes et étudions l’allocation de capital dans le cadre de la théorie des risques collectifs. Pour ce faire, nous introduisons la famille des "mesures de risque entropique cumulatifs" (Cumulative Entropic Risk Measures). Le chapitre 3 étudie le problème du portefeuille optimal pour le Entropic Value at Risk dans le cas où les rendements sont modélisés par un processus de diffusion à sauts (Jump-Diffusion). Dans le chapitre 4, nous généralisons la notion de "statistiques naturelles de risque" (natural risk statistics) au cadre multivarié. Cette extension non-triviale produit des mesures de risque multivariées construites à partir des données financiéres et de données d’assurance. Le chapitre 5 introduit les concepts de "drawdown" et de la "vitesse d’épuisement" (speed of depletion) dans la théorie de la ruine. Nous étudions ces concepts pour des modeles de risque décrits par une famille de processus de Lévy spectrallement négatifs.

Length-weight relationship, relative condition factor (Kn) and morphometry of Arius subrostratus (Valenciennes, 1840) from a coastal wetland in Kerala

The length – weight relationship and relative condition factor of the shovel nose catfish, Arius subrostratus (Valenciennes, 1840) from Champakkara backwater were studied by examination of 392 specimens collected during June to September 2008. These fishes ranged from 6 to 29 cm in total length and 5.6 to 218 g in weight. The relation between the total length and weight of Arius subrostratus is described as Log W = -1.530+2.6224 log L for males, Log W = - 2.131 + 3.0914 log L for females and Log W = - 1.742 + 2.8067 log L for sexes combined. The mean relative condition factor (Kn) values ranged from 0.75 to 1.07 for males, 0.944 to 1.407 for females and 0.96 to 1.196 for combined sexes. The length-weight relationship and relative condition factor showed that the well-being of A. subrostratus is good. The morphometric measurements of various body parts and meristic counts were recorded. The morphometric measurements were found to be non-linear and there is no significant difference observed between the two sexes. From the present investigation, the fin formula can be written as D: I, 7; P: I, 12; A: 17 – 20; C: 26 – 32. There is no change in meristic counts with the increase in body length.

Signaling of Pigment-Dispersing Factor (PDF) in the Madeira Cockroach Rhyparobia maderae

The insect neuropeptide pigment-dispersing factor (PDF) is a functional ortholog of vasoactive intestinal polypeptide, the coupling factor of the mammalian circadian pacemaker. Despite of PDF's importance for synchronized circadian locomotor activity rhythms its signaling is not well understood. We studied PDF signaling in primary cell cultures of the accessory medulla, the circadian pacemaker of the Madeira cockroach. In Ca2+ imaging studies four types of PDF-responses were distinguished. In regularly bursting type 1 pacemakers PDF application resulted in dose-dependent long-lasting increases in Ca2+ baseline concentration and frequency of oscillating Ca2+ transients. Adenylyl cyclase antagonists prevented PDF-responses in type 1 cells, indicating that PDF signaled via elevation of intracellular cAMP levels. In contrast, in type 2 pacemakers PDF transiently raised intracellular Ca2+ levels even after blocking adenylyl cyclase activity. In patch clamp experiments the previously characterized types 1–4 could not be identified. Instead, PDF-responses were categorized according to ion channels affected. Application of PDF inhibited outward potassium or inward sodium currents, sometimes in the same neuron. In a comparison of Ca2+ imaging and patch clamp experiments we hypothesized that in type 1 cells PDF-dependent rises in cAMP concentrations block primarily outward K+ currents. Possibly, this PDF-dependent depolarization underlies PDF-dependent phase advances of pacemakers. Finally, we propose that PDF-dependent concomitant modulation of K+ and Na+ channels in coupled pacemakers causes ultradian membrane potential oscillations as prerequisite to efficient synchronization via resonance.

River ecosystems at risk

Worldwide water managers are increasingly challenged to allocate sufficient and affordable water supplies to different water use sectors without further degrading river ecosystems and their valuable services to mankind. Since 1950 human population almost tripled, water abstractions increased by a factor of four, and the number of large dam constructions is about eight times higher today. From a hydrological perspective, the alteration of river flows (temporally and spatially) is one of the main consequences of global change and further impairments can be expected given growing population pressure and projected climate change. Implications have been addressed in numerous hydrological studies, but with a clear focus on human water demands. Ecological water requirements have often been neglected or addressed in a very simplistic manner, particularly from the large-scale perspective. With his PhD thesis, Christof Schneider took up the challenge to assess direct (dam operation and water abstraction) and indirect (climate change) impacts of human activities on river flow regimes and evaluate the consequences for river ecosystems by using a modeling approach. The global hydrology model WaterGAP3 (developed at CESR) was applied and further developed within this thesis to carry out several model experiments and assess anthropogenic river flow regime modifications and their effects on river ecosystems. To address the complexity of ecological water requirements the assessment is based on three main ideas: (i) the natural flow paradigm, (ii) the perception that different flows have different ecological functions, and (iii) the flood pulse concept. The thesis shows that WaterGAP3 performs well in representing ecologically relevant flow characteristics on a daily time step, and therefore justifies its application within this research field. For the first time a methodology was established to estimate bankfull flow on a 5 by 5 arc minute grid cell raster globally, which is a key parameter in eFlow assessments as it marks the point where rivers hydraulically connect to adjacent floodplains. Management of dams and water consumption pose a risk to floodplains and riparian wetlands as flood volumes are significantly reduced. The thesis highlights that almost one-third of 93 selected Ramsar sites are seriously affected by modified inundation patterns today, and in the future, inundation patterns are very likely to be further impaired as a result of new major dam initiatives and climate change. Global warming has been identified as a major threat to river flow regimes as rising temperatures, declining snow cover, changing precipitation patterns and increasing climate variability are expected to seriously modify river flow regimes in the future. Flow regimes in all climate zones will be affected, in particular the polar zone (Northern Scandinavia) with higher river flows during the year and higher flood peaks in spring. On the other side, river flows in the Mediterranean are likely to be even more intermittent in the future because of strong reductions in mean summer precipitation as well as a decrease in winter precipitation, leading to an increasing number of zero flow events creating isolated pools along the river and transitions from lotic to lentic waters. As a result, strong impacts on river ecosystem integrity can be expected. Already today, large amounts of water are withdrawn in this region for agricultural irrigation and climate change is likely to exacerbate the current situation of water shortages.

Tratamiento de sangrado postoperatorio en cirugía cardiaca con Factor VII Recombinante

El sangrado posterior a cirugía cardiaca es una complicación importante dada la alta morbimortalidad asociada. La hemotransfusión es la terapia mandatoria, pero la administración masiva de hemoderivados también es un factor de riesgo independiente de morbimortalidad. El factor VIIr se ha propuesto para disminuir las trasfusiones y controlar sangrado. El propósito de este estudio fue determinar si el factor VIIr es una herramienta útil para disminuir el consumo de hemoderivados en sangrado postoperatorio durante cirugía cardiaca sin riesgo de complicaciones tromboembólicas o falla renal aguda. Es un estudio de cohorte retrospectivo realizado durante dos años, comparando el consumo de hemoderivados y las complicaciones postoperatorias en la cohorte que recibió factor VIIa y en la que no. Se realizó muestreo por comparación de medias emparejadas y se describieron variables cualitativas mediante distribuciones de frecuencias y porcentuales, variables cuantitativas con medidas de tendencia central como promedio y mediana, medidas de dispersión como la desviación estándar. Para determinar normalidad se utilizó prueba Kolgomorov Smirnov con nivel de significancia a=10%; de no cumplir normalidad se utilizaron pruebas t-student y U de Mann-Whitney con nivel de significancia a=5%. Se recolectaron 54 pacientes de los cuales a 14 se les aplicó factor VIIr. Un promedio cinco unidades de glóbulos rojos, nueve de plasma, seis de plaquetas y cuatro de crioprecipitados fueron transfundidas sin diferencias significativas en los grupos. Si se aprecia disminución del sangrado en 24 horas postoperatorias, corrección de los tiempos de coagulación, y menor mortalidad. Las complicaciones tromboembólicas y falla renal no fueron estadísticamente significativas.

Foreign perception of sovereign risk : an event study of the colombian armed conflict

Este paper estudia la relación entre algunos de los eventos más importantes del conflicto colombiano con la percepción extranjera de riesgo soberano, medido por los Credit Default Swaps (CDS) de los bonos del Gobierno Colombiano. Usando dos metodologías relativamente recientes, yo estimo el efecto causal de los eventos de conflicto ampliamente cubierto por los medios internacionales. En primer lugar construyo un grupo de control sintético que funciona como contra factual de la serie real de los CDS colombianos pero en ausencia de eventos de conflicto. Segundo, estimo el efecto acumulado del evento bajo la metodología de retornos anormales acumulados. Los resultados sugieren que los efectos de los eventos de conflicto sobre la percepción extranjera de riesgo soberano dependen de las especificaciones de cada evento.

Tratamiento de Artritis reumatoide con antagonistas del factor de necrosis tumoral alfa y su asociación con el desarrollo de melanoma cutáneo: revisión sistemática de la literatura y meta-análisis.

Introducción: El tratamiento con antagonistas del factor de necrosis tumoral alfa (anti TNF) ha impactado el pronóstico y la calidad de vida de los pacientes con artritis reumatoide (AR) positivamente, sin embargo, se interroga un incremento en el riesgo de desarrollar melanoma. Objetivo: Conocer la asociación entre el uso de anti TNF y el desarrollo de melanoma maligno en pacientes con AR. Metodología: Se realizó una búsqueda sistemática en MEDLINE, EMBASE, COCHRANE LIBRARY y LILACS para ensayos clínicos, estudios observacionales, revisiones y meta-análisis en pacientes adultos con diagnóstico de AR y manejo con anti TNF (Certolizumab pegol, Adalimumab, Etanercept, Infliximab y Golimumab). Resultados: 37 estudios clínicos cumplieron los criterios de inclusión para el meta-análisis, con una población de 16567 pacientes. El análisis de heterogeneidad no fue significativo (p=1), no se encontró diferencia en el riesgo entre los grupos comparados DR -0.00 (IC 95% -0.001; -0.001). Un análisis adicional de los estudios en los que se reportó al menos 1 caso de melanoma (4222 pacientes) tampoco mostró diferencia en el riesgo DR -0.00 (IC 95% -0.004 ; -0.003). Conclusión: En la evidencia disponible a la fecha no encontramos asociación significativa entre el tratamiento con anti TNF en pacientes con diagnóstico de AR y el desarrollo de melanoma cutáneo.

The retrieval of ice water content from radar reflectivity factor and temperature and its use in evaluating a mesoscale model

Ice clouds are an important yet largely unvalidated component of weather forecasting and climate models, but radar offers the potential to provide the necessary data to evaluate them. First in this paper, coordinated aircraft in situ measurements and scans by a 3-GHz radar are presented, demonstrating that, for stratiform midlatitude ice clouds, radar reflectivity in the Rayleigh-scattering regime may be reliably calculated from aircraft size spectra if the "Brown and Francis" mass-size relationship is used. The comparisons spanned radar reflectivity values from -15 to +20 dBZ, ice water contents (IWCs) from 0.01 to 0.4 g m(-3), and median volumetric diameters between 0.2 and 3 mm. In mixed-phase conditions the agreement is much poorer because of the higher-density ice particles present. A large midlatitude aircraft dataset is then used to derive expressions that relate radar reflectivity and temperature to ice water content and visible extinction coefficient. The analysis is an advance over previous work in several ways: the retrievals vary smoothly with both input parameters, different relationships are derived for the common radar frequencies of 3, 35, and 94 GHz, and the problem of retrieving the long-term mean and the horizontal variance of ice cloud parameters is considered separately. It is shown that the dependence on temperature arises because of the temperature dependence of the number concentration "intercept parameter" rather than mean particle size. A comparison is presented of ice water content derived from scanning 3-GHz radar with the values held in the Met Office mesoscale forecast model, for eight precipitating cases spanning 39 h over Southern England. It is found that the model predicted mean I WC to within 10% of the observations at temperatures between -30 degrees and - 10 degrees C but tended to underestimate it by around a factor of 2 at colder temperatures.

Risk and price in the bidding process of contractors

Formal and analytical risk models prescribe how risk should be incorporated in construction bids. However, the actual process of how contractors and their clients negotiate and agree on price is complex, and not clearly articulated in the literature. Using participant observation, the entire tender process was shadowed in two leading UK construction firms. This was compared to propositions in analytical models and significant differences were found. 670 hours of work observed in both firms revealed three stages of the bidding process. Bidding activities were categorized and their extent estimated as deskwork (32%), calculations (19%), meetings (14%), documents (13%), off-days (11%), conversations (7%), correspondence (3%) and travel (1%). Risk allowances of 1-2% were priced in some bids and three tiers of risk apportionment in bids were identified. However, priced risks may sometimes be excluded from the final bidding price to enhance competitiveness. Thus, although risk apportionment affects a contractor’s pricing strategy, other complex, microeconomic factors also affect price. Instead of pricing in contingencies, risk was priced mostly through contractual rather than price mechanisms, to reflect commercial imperatives. The findings explain why some assumptions underpinning analytical models may not be sustainable in practice and why what actually happens in practice is important for those who seek to model the pricing of construction bids.

Modelling risk perception and trust in food safety information within the theory of planned behaviour

This study suggests a statistical strategy for explaining how food purchasing intentions are influenced by different levels of risk perception and trust in food safety information. The modelling process is based on Ajzen's Theory of Planned Behaviour and includes trust and risk perception as additional explanatory factors. Interaction and endogeneity across these determinants is explored through a system of simultaneous equations, while the SPARTA equation is estimated through an ordered probit model. Furthermore, parameters are allowed to vary as a function of socio-demographic variables. The application explores chicken purchasing intentions both in a standard situation and conditional to an hypothetical salmonella scare. Data were collected through a nationally representative UK wide survey of 533 UK respondents in face-to-face, in-home interviews. Empirical findings show that interactions exist among the determinants of planned behaviour and socio-demographic variables improve the model's performance. Attitudes emerge as the key determinant of intention to purchase chicken, while trust in food safety information provided by media reduces the likelihood to purchase. (C) 2006 Elsevier Ltd. All rights reserved.

Determinants of intention to purchase chicken in Italy: the role of consumer risk perception and trust in different information sources

The article investigates how purchasing intentions among a sample of Italian consumers are influenced by different levels of risk perception and their trust in food-safety information provided by different sources such as the food industry, government agencies, or consumers' associations. The assessment of the determinants of intention to purchase was carried out by estimating a causal model for the chicken case in which attitudes, subjective norms, and perceived risk play a major role in determining buyer's behavior. In particular, the role of trust in influencing risk perception is highlighted either as a general construct or as specific constructs targeting food chain, policy actors, and the media. [EconLit citations: Q130, Q190, D120]. (C) 2008 Wiley Periodicals, Inc.

Farm-level risk factors for fluoroquinolone resistance in E-coli and thermophilic Campylobacter spp. on finisher pig farms

Logistic regression, supported by other statistical analyses was used to explore the possible association of risk factors with the fluoroquinolone (FQ)-resistance status of 108 pig finisher farms in Great Britain. The farms were classified as 'affected' or 'not affected' by FQ-resistant E. coli or Campylobacter spp. on the basis of isolation of organisms from faecal samples on media containing 1 mg/l FQ. The use of FQ was the most important factor associated with finding resistant E. coli and/or Campylobacter, which were found on 79% (FQ-resistant E. coli) and 86% (FQ-resistant Campylobacter) of farms with a history of FQ use. However, resistant bacteria were also found on 19% (FQ-resistant E. coli) and 54% (FQ-resistant Campylobacter) of farms with no history of FQ use. For FQ-resistant E. coli, biosecurity measures may be protective and there was strong seasonal variation, with more farms found affected when sampled in the summer. For FQ-resistant Campylobacter, the buying-in of grower stock may increase risk and good on-farm hygiene may be protective. The findings suggest that resistant organisms, particularly Campylobacter, may spread between pig farms.

Categories of GM risk-benefit perceptions and their antecedents

The stated benefits and perceived risks of genetic modification (GM) cover very diverse issues, such as food safety, world food security, and the environment, that may differentially affect consumer acceptance. In this research, we hypothesize that consumers perceive up to eight dimensions: risks to business (farmers, agribusiness, etc.), benefits to business, risks and benefits to the environment, risks and benefits to the developing world, and risks and benefits to self and family. Moral concerns are also recognized. Using data collected in 2002 in the United States, France, and the UK, we investigate these different dimensions. Second, we analyze the extent to which the dimensions of risk-benefit perceptions can be explained by general attitudes widely used to explain food purchase behavior (such as general attitude to the environment, to technology, etc.), as well as by perceived knowledge of GM, level of education, and trust in various sources of information. In all locations, the majority of consumers only perceive a medium level of risk from GM products. Attitude to technology is the most important attitude variable—those with a positive attitude to technology in general also have a positive attitude to GM technology. More Americans than Europeans fall into this category. Those who trust government and the food industry tend to think GM technology is less risky, whereas those who trust activists believe the opposite. Americans are more trusting of the former, Europeans of the latter. Level of education is positively associated with benefit perceptions and negatively associated with moral concerns. Location continues to play a limited independent role in explaining perceptions even after these factors have been taken into account.

Effects of presenting the baseline risk when communicating absolute and relative risk reductions

This study compares relative and absolute forms of presenting risk information about influenza and the need for vaccination. It investigates whether differences in people's risk estimates and their evaluations of risk information, as a result of the different presentation formats, are still apparent when they are provided with information about the baseline level of risk. The results showed that, in the absence of baseline information, the relative risk format resulted in higher ratings of satisfaction, perceived effectiveness of vaccination, and likelihood of being vaccinated. However, these differences were not apparent when baseline information was presented. Overall, provision of baseline information resulted in more accurate risk estimates and more positive evaluations of the risk messages. It is recommended that, in order to facilitate shared and fully informed decision making, information about baseline level of risk should be included in all health communications specifying risk reductions, irrespective of the particular format adopted.

Comparison of two methods of presenting risk information to patients about the side effects of medicines

Objective: To determine whether the use of verbal descriptors suggested by the European Union (EU) such as "common" (1-10% frequency) and "rare" (0.01-0.1%) effectively conveys the level of risk of side effects to people taking a medicine. Design: Randomised controlled study with unconcealed allocation. Participants: 120 adults taking simvastatin or atorvastatin after cardiac surgery or myocardial infarction. Setting: Cardiac rehabilitation clinics at two hospitals in Leeds, UK. Intervention: A written statement about one of the side effects of the medicine (either constipation or pancreatitis). Within each side effect condition half the patients were given the information in verbal form and half in numerical form (for constipation, "common" or 2.5%; for pancreatitis, "rare" or 0.04%). Main outcome measure: The estimated likelihood of the side effect occurring. Other outcome measures related to the perceived severity of the side effect, its risk to health, and its effect on decisions about whether to take the medicine. Results: The mean likelihood estimate given for the constipation side effect was 34.2% in the verbal group and 8.1% in the numerical group; for pancreatitis it was 18% in the verbal group and 2.1% in the numerical group. The verbal descriptors were associated with more negative perceptions of the medicine than their equivalent numerical descriptors. Conclusions: Patients want and need understandable information about medicines and their risks and benefits. This is essential if they are to become partners in medicine taking. The use of verbal descriptors to improve the level of information about side effect risk leads to overestimation of the level of harm and may lead patients to make inappropriate decisions about whether or not they take the medicine.