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.

Étude électrophysiologique de la suppression interoculaire : implication pour l'amblyopie

L’amblyopie est un trouble développemental de la vision binoculaire. Elle est typiquement caractérisée par des atteintes de l’acuité visuelle et de la stéréoscopie. Toutefois, de plus en plus d’études indiquent la présence d’atteintes plus étendues telles que les difficultés d’attention visuelle ou de lecture. L’amblyopie est généralement expliquée par une suppression interoculaire au niveau cortical, considérée comme chronique ou permanente à l’extérieur de la période développementale. Or, un nombre croissant d’études suggèrent que des interactions binoculaires normales seraient présentes chez les amblyopes adultes. Dans une première étude, nous avons tenté d’identifier un marqueur électrophysiologique de la vision binoculaire. Nous avons enregistré des potentiels évoqués visuels chez des observateurs normaux à qui l’on a induit une dysfonction binoculaire. Les interactions binoculaires étaient caractérisées à l’aide de patrons (facilitation, moyennage et suppression) en comparant les réponses monoculaires et binoculaires. De plus, ces interactions étaient quantifiées à partir d’index d’intégration continus en soustrayant la somme des réponses monoculaires de la réponse binoculaire. Les résultats indiquaient que les patrons d’interaction n’étaient pas optimaux pour estimer les performances stéréoscopiques. Ces dernières étaient, en revanche, mieux expliquées par notre index d’intégration binoculaire. Ainsi, cette étude suggère que l’électrophysiologie est un bon prédicteur de la vision binoculaire. Dans une deuxième étude, nous avons examiné les corrélats neuronaux et comportementaux de la suppression interoculaire chez des amblyopes adultes et des observateurs normaux. Des potentiels évoqués visuels stationnaires ont été enregistrés en utilisant un paradigme de suppression par flash. La suppression était modulée par un changement de contraste du stimulus flash (10, 20, 30, ou 100%), ou le suppresseur, qui était présenté soit dans l’œil dominant ou non-dominant (ou amblyope). Sur le plan comportemental, la suppression interoculaire était observée indépendamment de l’œil stimulé par le flash chez les contrôles. Au contraire, chez les amblyopes, la suppression était asymétrique (c’est-à-dire supérieure lorsqu’elle provenait de l’œil dominant), ce qui suggérait une suppression chronique. De manière intéressante, l’œil amblyope a supprimé l’œil dominant à haut niveau de contraste. Sur le plan électrophysiologique, l’effet de suppression interoculaire observé à la région occipitale était équivalent dans chaque groupe. Toutefois, les réponses électrophysiologiques à la région frontale chez les amblyopes n’étaient pas modulées comme celles des contrôles; la suppression de l’œil amblyope était manifeste même à bas contraste. Nous résultats supportent ainsi l’existence d’interaction binoculaire fonctionnelle chez les amblyopes adultes ainsi que l’implication d’un réseau cortical étendu dans la suppression interoculaire. En somme, l’amblyopie est une condition complexe dont les atteintes corticales et les déficits fonctionnels semblent globaux. L’amblyopie ne doit plus être considérée comme limitée à une dysfonction de l’aire visuelle primaire. La suppression interoculaire semble un point central de cette problématique, mais encore beaucoup d’études seront nécessaires afin de déterminer l’ensemble des mécanismes impliqués dans celle-ci.

Dilemmas in Military Medical Ethics: A Call for Conceptual Clarity

Article

Habeas Corpus Reform in El Salvador

In this paper I compare the habeas corpus systems of El Salvador, the United States and Argentina. My purpose is to develop a general understanding of the procedure for bringing the writ in each country and analyze the substantive law governing the rights of habeas corpus petitioners in each country. I evaluate the systems against the backdrop of each country’s political and legal history with respect to the writ of habeas corpus. The ultimate aim of this paper is to reform the habeas corpus law of El Salvador by analyzing the Salvadoran system as compared to the Argentine and U.S. systems. I conclude that the Argentine habeas corpus system provides a better model for the Salvadoran system than does the U.S. system. I draw this conclusion because the two countries share common foundations for their legal systems, in addition to common histories of civil war, during which there were numerous disappearances and denial of habeas corpus rights. Moreover, Argentina’s habeas corpus law protects the liberty interest of the detained individual more so than U.S. habeas corpus law. This heightened protection of the right to liberty largely results from the country’s past history of forced disappearances and incommunicado detention. Because El Salvador witnessed similar problems in its past, the Argentine model provides a good model for Salvadoran reform.

SUPPLY CHAIN MANAGEMENT IN INDIAN PETROLEUM REFINING INDUSTRY

Model development for selection of location for refinery in India and identification of characteristics to be looked into when configuring it and to develop models for integrated supply chain planning for a refinery. Locating and removing inbound, internal and outbound logistic problems in an existing refinery and overall design of a logistic information system for a refinery are the main objectives of the study. A brief description of supply chain management (SCM), elements of SCM and their significance, logistics cost in petroleum industry and its impacts, and dynamics of petroleum its logistic practices are also to be presented. Scope of application of SCM in petroleum refinery will also be discussed. A review of the investigations carried out by earlier researches in the area of supply chain management in general and with specific reference to petroleum refining.

Impact of Self-generation of Priorities and Non-preemptive Service in Single/Multiserver Queues

In this thesis we have studied a few models involving self-generation of priorities. Priority queues have been extensively discussed in literature. However, these are situations involving priority assigned to (or possessed by) customers at the time of their arrival. Nevertheless, customers generating into priority is a common phenomena. Such situations especially arise at a physicians clinic, aircrafts hovering over airport running out of fuel but waiting for clearance to land and in several communication systems. Quantification of these are very little seen in literature except for those cited in some of the work indicated in the introduction. Our attempt is to quantify a few of such problems. In doing so, we have also generalized the classical priority queues by introducing priority generation ( going to higher priorities and during waiting). Systematically we have proceeded from single server queue to multi server queue. We also introduced customers with repeated attempts (retrial) generating priorities. All models that were analyzed in this thesis involve nonpreemptive service. Since the models are not analytically tractable, a large number of numerical illustrations were produced in each chapter to get a feel about the working of the systems.

Molecular Characterization and Gene Expression Profiling of Antimicrobial Peptides in Penaeid Shrimps

The constitutive production of AMPs in shrimps ensures that animals are able to protect themselves from low-level assaults by pathogens present in the environment. As these molecules play important roles in the shrimp immune defense system, the expression level of these AMPs are possible indicators of the immune state of shrimps. The present study also indicates the antiviral property of AMPs, especially ALF, stressing the importance of their up-regulation through the application of immunostimulants/probiotics as a prophylactic strategy in aquaculture. The present study shows that shrimp defense system is equipped enough to evade WSSV infection to a certain extent, when the animals were maintained on marine yeast and probiotic diet, whereas the control diet fed group succumbed to WSSV infection. This study reveals that marine yeast and probiotic supplemented diet can delay the process of WSSV infection and confer greater protection to the animals. Particularly, the protection conferred by marine yeast, C. haemulonii S27 and Bacillus MCCB101 were highly promising imparting greater hope to the aquaculture community to overcome the prevailing disease problems in aquaculture. It may be inferred from the present study that up-regulation of AMP genes could be effected by the application of immunostimulants and probiotics. Also, AMP expression profile could be used as an effective tool for screening immunostimulants and probiotics for application in shrimp culture. Ultimately, it is likely that no single compound or strategy will provide a solution to the problem of disease within aquaculture and that, in reality, a suite of techniques will be required including the manipulation of the rearing environment, addition of probionts as a matter of routine during culture, and the use of immunostimulants and other supplements during vulnerable growth phases. Finally, the development of good management practices, the control of environmental variables, genetic improvement in the penaeid species, understanding of host-virus interaction, modulation of the shrimp immune system, supported by functional genomics and proteomics of this crustacean, as a whole suggests that the control of WSSV is not far.

Serotonin receptor subtypes functional regulation and oxidative stress mediated apoptosis in 6-hydroxydopamine lesioned Parkinsonian rats

Parkinson’s disease is a chronic progressive neurodegenerative disorder characterized by the selective loss of dopaminergic neurons in the SNpc resulting in severe motor impairments. Serotonergic system plays an important regulatory role in the pathophysiology of PD in rats, the evaluation of which provides valuable insight on the underlying mechanisms of motor, cognitive and memory deficits in PD. We observed a decrease in 5-HT content in the brain regions of 6-OHDA infused rat compared to control. The decreased 5-HT content resulted in a decrease of total 5-HT, 5-HT2A receptors and 5-HTT function and an increase of 5-HT2C receptor function. 5-HT receptor subtypes - 5-HT2A and 5-HT2C receptors have differential regulatory role on the modulation of DA neurotransmission in different brain regions during PD. Our observation of impaired serotonergic neurotransmission in SNpc, corpus striatum, cerebral cortex, hippocampus, cerebellum and brain stem demonstrate that although PD primarily results from neurodegeneration in the SNpc, the associated neurochemical changes in other areas of the brain significantly contributes to the different motor and non motor symptoms of PD. The antioxidant enzymes – SOD, CAT and GPx showed significant down regulation which indicates increased oxidative damage resulting in neurodegeneration. We also observed an increase in the level of lipid peroxidation. Reduced expression of anti-apoptotic Akt and enhanced expression of NF-B resulting from oxidative stress caused an activation of caspase-8 thus leading the cells to neurodegeneration by apoptosis. BMC administration in combination with 5-HT and GABA to PD rats showed reversal of the impaired serotonergic neurotransmission and oxidative stress mediated apoptosis. The transplanted BMC expressed NeuN confirming that 5-HT and GABA induced the differentiation and proliferation of BMC to neurons in the SNpc along with an increase in DA content and an enhanced expression of TH. Neurotrophic factors – BDNF and GDNF rendered neuroprotective effects accompanied by improvement in behavioural deficits indicating a significant reversal of altered dopaminergic and serotonergic neurotransmission in PD. The restorative and neuroprotective effects of BMC in combination with 5-HT and GABA are of immense therapeutic significance in the clinical management of PD.

Investment analysis of chemical projects and development of standerdised mathematical co-relation for cost estimation of pressure vessels in chemical industry

The present study is intended to provide a new scientific approach to the solution of the worlds cost engineering problems encountered in the chemical industries in our nation. The problem is that of cost estimation of equipments especially of pressure vessels when setting up chemical industries .The present study attempts to develop a model for such cost estimation. This in turn is hoped would go a long way to solve this and related problems in forecasting the cost of setting up chemical plants.

Studies on the effect of pollution, with special reference to benthos, in Cochin backwaters

Considerable number of factories and related establishments forming an industrial complex are located in the upper reaches of the estuary from Varapuzha about 10km from cochin barmouth to Alwaye while lower down are the retting grounds at Vaduthala and nearby places at about 5km from the barmouth. Muncipal wastes from the city population of over 5 lakhs effluents and solid waste from several fish processing factories and other land washings around Willington island reach the estuary move near its lower reaches close to the barmouth. Cochin estuary is the biggest in the state providing water front for the largest number of industries from the small retting grounds of Vaduthala to the huge fertilizer factories of Udyogamandal and receiving the highest quantity of town sewage and land drainage. The estuary contributes itself as nursery ground for shrimps and related fishery as well. Study of this estuary therefore contributes to a typical environment as regards to pollution problems in the tropics and hence the scope of the present investigation

Dismissal in industrial employment

This is a study in labour law.. Dismissal of workmen in private lndustrial sector is the area of this study. Confined within the framework of the Industrial Disputes act 1947, the study is an analytical assessment of the decisions of the supreme Court of India. on dismissal in industrial employment. Few attempts were made in the past to analyse on identical lines the problems in this area. Hence what is| written in this thesis is ones own. Dismissal carries a stigma. the dismissed employee may find it difficult to get alternative employment especially in a land of severe unemployment. The need for law with built in safeguards against arbitrary dismissal cannot be overemphasized. From this perspective the study examines to what extent the industrial disputes act 1947 provides protection and how far the protection is adequate.

Stochastic processes and their applications semi-markov analysis of some inventory and queuing problems

This thesis analyses certain problems in Inventories and Queues. There are many situations in real-life where we encounter models as described in this thesis. It analyses in depth various models which can be applied to production, storag¢, telephone traffic, road traffic, economics, business administration, serving of customers, operations of particle counters and others. Certain models described here is not a complete representation of the true situation in all its complexity, but a simplified version amenable to analysis. While discussing the models, we show how a dependence structure can be suitably introduced in some problems of Inventories and Queues. Continuous review, single commodity inventory systems with Markov dependence structure introduced in the demand quantities, replenishment quantities and reordering levels are considered separately. Lead time is assumed to be zero in these models. An inventory model involving random lead time is also considered (Chapter-4). Further finite capacity single server queueing systems with single/bulk arrival, single/bulk services are also discussed. In some models the server is assumed to go on vacation (Chapters 7 and 8). In chapters 5 and 6 a sort of dependence is introduced in the service pattern in some queuing models.

"Statistical Methods in Gear Selectivity and Gear Efficiency Studies”

The preceding discussion and review of literature show that studies on gear selectivity have received great attention, while gear efficiency studies do not seem to have received equal consideration. In temperate waters, fishing industry is well organised and relatively large and well equipped vessels and gear are used for commercial fishing and the number of species are less; whereas in tropics particularly in India, small scale fishery dominates the scene and the fishery is multispecies operated upon by nmltigear. Therefore many of the problems faced in India may not exist in developed countries. Perhaps this would be the reason for the paucity of literature on the problems in estimation of relative efficiency. Much work has been carried out in estimating relative efficiency (Pycha, 1962; Pope, 1963; Gulland, 1967; Dickson, 1971 and Collins, 1979). The main subject of interest in the present thesis is an investigation into the problems in the comparison of fishing gears. especially in using classical test procedures with special reference to the prevailing fishing practices (that is. with reference to the catch data generated by the existing system). This has been taken up with a view to standardizing an approach for comparing the efficiency of fishing gear. Besides this, the implications of the terms ‘gear efficiency‘ and ‘gear selectivity‘ have been examined and based on the commonly used selectivity model (Holt, 1963), estimation of the ratio of fishing power of two gear has been considered. An attempt to determine the size of fish for which a gear is most efficient.has also been made. The work has been presented in eight chapters

‘Studies on some topics in product graphs’

For routing problems in interconnection networks it is important to find the shortest containers between any two vertices, since the w-wide diameter gives the maximum communication delay when there are up to w−1 faulty nodes in a network modeled by a graph. The concept of ‘wide diameter’ was introduced by Hsu [41] to unify the concepts of diameter and The concept of ‘domination’ has attracted interest due to its wide applications in many real world situations [38]. A connected dominating set serves as a virtual backbone of a network and it is a set of vertices that helps in routing. In this thesis, we make an earnest attempt to study some of these notions in graph products. This include, the diameter variability, the diameter vulnerability, the component factors and the domination criticality.connectivity