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.

Local optima networks of hard combinatorial landscapes

Combinatorial optimization involves finding an optimal solution in a finite set of options; many everyday life problems are of this kind. However, the number of options grows exponentially with the size of the problem, such that an exhaustive search for the best solution is practically infeasible beyond a certain problem size. When efficient algorithms are not available, a practical approach to obtain an approximate solution to the problem at hand, is to start with an educated guess and gradually refine it until we have a good-enough solution. Roughly speaking, this is how local search heuristics work. These stochastic algorithms navigate the problem search space by iteratively turning the current solution into new candidate solutions, guiding the search towards better solutions. The search performance, therefore, depends on structural aspects of the search space, which in turn depend on the move operator being used to modify solutions. A common way to characterize the search space of a problem is through the study of its fitness landscape, a mathematical object comprising the space of all possible solutions, their value with respect to the optimization objective, and a relationship of neighborhood defined by the move operator. The landscape metaphor is used to explain the search dynamics as a sort of potential function. The concept is indeed similar to that of potential energy surfaces in physical chemistry. Borrowing ideas from that field, we propose to extend to combinatorial landscapes the notion of the inherent network formed by energy minima in energy landscapes. In our case, energy minima are the local optima of the combinatorial problem, and we explore several definitions for the network edges. At first, we perform an exhaustive sampling of local optima basins of attraction, and define weighted transitions between basins by accounting for all the possible ways of crossing the basins frontier via one random move. Then, we reduce the computational burden by only counting the chances of escaping a given basin via random kick moves that start at the local optimum. Finally, we approximate network edges from the search trajectory of simple search heuristics, mining the frequency and inter-arrival time with which the heuristic visits local optima. Through these methodologies, we build a weighted directed graph that provides a synthetic view of the whole landscape, and that we can characterize using the tools of complex networks science. We argue that the network characterization can advance our understanding of the structural and dynamical properties of hard combinatorial landscapes. We apply our approach to prototypical problems such as the Quadratic Assignment Problem, the NK model of rugged landscapes, and the Permutation Flow-shop Scheduling Problem. We show that some network metrics can differentiate problem classes, correlate with problem non-linearity, and predict problem hardness as measured from the performances of trajectory-based local search heuristics.

Are we wasting our talent? Overqualification and overskilling among PhD graduates

Drawing on a very rich data set from a recent cohort of PhD graduates, we examine the correlates and consequences of qualification and skills mismatch. We show that job characteristics such as the economic sector and the main activity at work play a fundamental direct role in explaining the probability of being well matched. However, the effect of academic attributes seems to be mainly indirect, since it disappears once we control for the full set of work characteristics. We detected a significant earnings penalty for those who are both overqualified and overskilled and also showed that being mismatched reduces job satisfaction, especially for those whose skills are underutilized. Overall, the problem of mismatch among PhD graduates is closely related to demand-side constraints of the labor market. Increasing the supply of adequate jobs and broadening the skills PhD students acquire during training should be explored as possible responses.

Automated formulation of optimisation models for steel beam structures

Over 70% of the total costs of an end product are consequences of decisions that are made during the design process. A search for optimal cross-sections will often have only a marginal effect on the amount of material used if the geometry of a structure is fixed and if the cross-sectional characteristics of its elements are property designed by conventional methods. In recent years, optimalgeometry has become a central area of research in the automated design of structures. It is generally accepted that no single optimisation algorithm is suitable for all engineering design problems. An appropriate algorithm, therefore, mustbe selected individually for each optimisation situation. Modelling is the mosttime consuming phase in the optimisation of steel and metal structures. In thisresearch, the goal was to develop a method and computer program, which reduces the modelling and optimisation time for structural design. The program needed anoptimisation algorithm that is suitable for various engineering design problems. Because Finite Element modelling is commonly used in the design of steel and metal structures, the interaction between a finite element tool and optimisation tool needed a practical solution. The developed method and computer programs were tested with standard optimisation tests and practical design optimisation cases. Three generations of computer programs are developed. The programs combine anoptimisation problem modelling tool and FE-modelling program using three alternate methdos. The modelling and optimisation was demonstrated in the design of a new boom construction and steel structures of flat and ridge roofs. This thesis demonstrates that the most time consuming modelling time is significantly reduced. Modelling errors are reduced and the results are more reliable. A new selection rule for the evolution algorithm, which eliminates the need for constraint weight factors is tested with optimisation cases of the steel structures that include hundreds of constraints. It is seen that the tested algorithm can be used nearly as a black box without parameter settings and penalty factors of the constraints.

The Omega model: from bankruptcy to occupation times in the red

Ruin occurs the first time when the surplus of a company or an institution is negative. In the Omega model, it is assumed that even with a negative surplus, the company can do business as usual until bankruptcy occurs. The probability of bankruptcy at a point of time only depends on the value of the negative surplus at that time. Under the assumption of Brownian motion for the surplus, the expected discounted value of a penalty at bankruptcy is determined, and hence the probability of bankruptcy. There is an intrinsic relation between the probability of no bankruptcy and an exposure random variable. In special cases, the distribution of the total time the Brownian motion spends below zero is found, and the Laplace transform of the integral of the negative part of the Brownian motion is expressed in terms of the Airy function of the first kind.

Free-running 4D whole-heart self-navigated golden angle MRI: Initial results.

PURPOSE: To test the hypothesis that both coronary anatomy and ventricular function can be assessed simultaneously using a single four-dimensional (4D) acquisition. METHODS: A free-running 4D whole-heart self-navigated acquisition incorporating a golden angle radial trajectory was implemented and tested in vivo in nine healthy adult human subjects. Coronary magnetic resonance angiography (MRA) datasets with retrospective selection of acquisition window width and position were extracted and quantitatively compared with baseline self-navigated electrocardiography (ECG) -triggered coronary MRA. From the 4D datasets, the left-ventricular end-systolic, end-diastolic volumes (ESV & EDV) and ejection fraction (EF) were computed and compared with values obtained from conventional 2D cine images. RESULTS: The 4D datasets enabled dynamic assessment of the whole heart with isotropic spatial resolution of 1.15 mm(3) . Coronary artery image quality was very similar to that of the ECG-triggered baseline scan despite some SNR penalty. A good agreement between 4D and 2D cine imaging was found for EDV, ESV, and EF. CONCLUSION: The hypothesis that both coronary anatomy and ventricular function can be assessed simultaneously in vivo has been tested positive. Retrospective and flexible acquisition window selection allows to best visualize each coronary segment at its individual time point of quiescence. Magn Reson Med, 2014. © 2014 Wiley Periodicals, Inc.

Some optimization and decision problems in proportional reinsurance

Reinsurance is one of the tools that an insurer can use to mitigate the underwriting risk and then to control its solvency. In this paper, we focus on the proportional reinsurance arrangements and we examine several optimization and decision problems of the insurer with respect to the reinsurance strategy. To this end, we use as decision tools not only the probability of ruin but also the random variable deficit at ruin if ruin occurs. The discounted penalty function (Gerber & Shiu, 1998) is employed to calculate as particular cases the probability of ruin and the moments and the distribution function of the deficit at ruin if ruin occurs.

The Feminization of Occupations and Change in Wages : a Panel Analysis of Britain, Germany, and Switzerland

In the past four decades, women have made major inroads into occupations previously dominated by men. This paper examines whether occupational feminization is accompanied by a decline in wages: Do workers suffer a wage penalty if they remain in, or move into, feminizing occupations? We analyze this question over the 1990s and 2000s in Britain, Germany, and Switzerland, using longitudinal panel data to estimate individual fixed effects for men and women. Moving from an entirely male to an entirely female occupation entails a loss in individual earnings of 13 percent in Britain, 7 percent in Switzerland, and 3 percent in Germany. The impact of occupational feminization on wages is not linear, but sets apart occupations holding more than 60 percent of women. Moving into such female occupations incurs a wage penalty. Contrary to the prevailing idea in economics, differences in productivity-human capital, job-specific skills, and time investment-do not fully explain the wage gap between male and female occupations. The wage penalty associated with working in a female occupation is also much larger where employer discretion is greater-in the private sector-than where wagesetting is guided by formal rules-the public sector. These findings suggest that wage disparities across male and female occupations are due to gender devaluation.

Job loss among immigrant and native workers: evidence from Spain's economic downturn

The profound crisis that has affected the Spanish economy since mid - 2008 has been characterized by significant job losses and a marked rise in the country´s unemployment rate. However, unemployment has had a differential impact on different population groups. Compared to native, immigrant workers have experienced higher rates of job loss. Against this backdrop, this paper examines the differences between immigrants and natives (distinguished by gender) in terms of their probability of suffering job loss in the downturn of late 2008 and 2009. Our results indicate that the higher rate of job loss among female immigrant workers can be fully explained by their lower endowment of human capital. By contrast, human capital endowment and over-representation in certain occupations, sectors and regions in which the crisis had greatest impact do not appear to be the only reason for the penalty suffered by immigrant males in terms of their chances of losing their job in the downturn.

Dial M for Murder: A Case of Passion Killing, Criminal Evidence and Sultanic Power in Medieval India

This paper considers the structures and applications of the criminal judicial system in the Islamic Later Middle Period as it developed in India under the sultans of Delhi (1200-1400 CE). A fundamental issue in crime and punishment is the relationship between sultanic power and religious authority. Particularly at stake in this relationship is the question of who can sanction the highest form of punishment, i.e. the death penalty (siyāsa). Contemporary historians and scholars in the study of religion investigating the relationship between sharīʿa and siyāsa to reveal the extent and limits of sultanic power show a system of governance that allowed for the delegation of authority, particularly in the area of the judiciary, from the sultan down to viziers and judges. Some scholars depict the relationship between the ʿulamāʾ and the sultan as a kind of stand off. The actual dynamics of legal jurisdiction were much more complex. This study proposes a new interpretive framework for understanding the relationship between political power and religious authority through a critical analysis of the criminal judicial system, law, and historical narrative. In particular, I consider a murder case described by Shams al-dīn Sirāj ʿAfīf in one of the most significant histories written in the later Delhi Sultanate, the Tārīkh-i Fīrūzshāhī.

Formal Education, Mismatch and Wages After Transition: Assessing the Impact of Unobserved Heterogeneity using Matching Estimators

This paper studies the incidence and consequences of the mismatch between formal education and the educational requirements of jobs in Estonia during the years 1997-2003. We fi nd large wage penalties associated with the phenomenon of educational mismatch. Moreover, the incidence and wage penalty of mismatches increase with age. This suggests that structural educational mismatches can occur after fast transition periods. Our results are robust for various methodologies, and more importantly regarding departures from the exogeneity assumptions inherent in the matching estimators used in our analysis

Model-based study of a chemical-looping combustion process

Chemical-looping combustion (CLC) is a novel combustion technology with inherent separation of the greenhouse gas CO2. The technique typically employs a dual fluidized bed system where a metal oxide is used as a solid oxygen carrier that transfers the oxygen from combustion air to the fuel. The oxygen carrier is looping between the air reactor, where it is oxidized by the air, and the fuel reactor, where it is reduced by the fuel. Hence, air is not mixed with the fuel, and outgoing CO2 does not become diluted by the nitrogen, which gives a possibility to collect the CO2 from the flue gases after the water vapor is condensed. CLC is being proposed as a promising and energy efficient carbon capture technology, since it can achieve both an increase in power station efficiency simultaneously with low energy penalty from the carbon capture. The outcome of a comprehensive literature study concerning the current status of CLC development is presented in this thesis. Also, a steady state model of the CLC process, based on the conservation equations of mass and energy, was developed. The model was used to determine the process conditions and to calculate the reactor dimensions of a 100 MWth CLC system with bunsenite (NiO) as oxygen carrier and methane (CH4) as fuel. This study has been made in Oxygen Carriers and Their Industrial Applications research project (2008 – 2011), funded by the Tekes – Functional Material program. I would like to acknowledge Tekes and participating companies for funding and all project partners for good and comfortable cooperation.

Eficiència energètica aplicada a les instal·lacions de la Universitat de Vic

En termes generals, es pot definir l’Eficiència Energètica com la reducció del consum d’energia mantenint els mateixos serveis energètics, sense disminuir el nostre confort i qualitat de vida, protegint el medi ambient, assegurant el proveïment i fomentant un comportament Sostenible al seu ús. L’objectiu principal d’aquest treball, és reduir el consum d’energia i terme de potència contractat a la Universitat de Vic, aplicant un programa d’estalvi amb mesures correctores en el funcionament de les seves instal·lacions o espais. Per tal de poder arribar a aquest objectiu marcat, prèviament s’ha realitzat un estudi acurat, obtenint tota la informació necessària per poder aplicar les mesures correctores a la bossa més important de consum. Un cop trobada, dur a terme l’estudi de la viabilitat de la inversió de les mesures correctores més eficients, optimitzant els recursos destinats. L’espai on s’ha dut a terme l’estudi, ha estat a l’edifici F del Campus Miramarges, seguint les indicacions d’Arnau Bardolet (Cap de Manteniment de la UVIC). Aquest edifici consta d’un entresol, baixos i quatre plantes. L’equip de mesura que s’ha fet servir per realitzar l’estudi, és de la marca Circutor sèrie AR5-L, aquests equips són programables que mesuren, calculen i emmagatzemen en memòria els principals paràmetres elèctrics en xarxes trifàsiques. Els projectes futurs complementaris que es podrien realitzar a part d’aquest són: instal·lar sensors, instal·lar mòduls convertidors TCP/IP, aprofitar la xarxa intranet i crear un escada amb un sinòptic de control i gestió des d’un punt de treball. Aquest aplicatiu permet visualitzar en una pantalla d’un PC tots els estats dels elements controlats mitjançant un sinòptic (encendre/parar manualment l’enllumenat i endolls de les aules, estat d’enllumenat i endolls de les aules, consums instantanis/acumulats energètics, estat dels passadissos entre altres) i explotar les dades recollides a la base de dades. Cada espai tindria la seva lògica de funcionament automàtic específic. Entre les conclusions més rellevants obtingudes en aquest treball s’observa: · Que és pot reduir la potència contractada a la factura a l’estar per sota de la realment consumida. · Que no hi ha penalitzacions a la factura per consum de reactiva, ja que el compensador funciona correctament. · Que es pot reduir l’horari de l’inici del consum d’energia, ja que no correspon a l’activitat docent. · Els valors de la tensió i freqüència estan dintre de la normalitat. · Els harmònics estan al llindar màxim. Analitzant aquestes conclusions, voldria destacar les mesures correctores més importants que es poden dur a terme: canvi tecnològic a LED, temporitzar automàticament l’encesa i apagada dels fluorescents i equips informàtics de les aules “seguint calendari docent”, instal·lar sensors de moviment amb detecció lumínica als passadissos. Totes les conclusions extretes d’aquest treball, es poden aplicar a tots els edificis de la facultat, prèviament realitzant l’estudi individual de cadascuna, seguint els mateixos criteris per tal d’optimitzar la inversió.

La población infantil de Barcelona (1898-1961): una evaluación de su estado nutricional a partir de estadísticas antropométricas

En los ejercicios de evaluación de la denominada “penalización urbana”, la mortalidad infantil y juvenil suele ser uno o de los indicadores más habituales. Disponer de indicadores relativos a sus condiciones de salud es más difícil. Una opción son los datos antropométricos. Este tipo de información abunda para las poblaciones adultas –especialmente las masculinas enroladas en los ejércitos- pero es más escasa para las infantiles. El propósito de este trabajo es contribuir al conocimiento de las condiciones de salud de este grupo de la población barcelonesa durante algo más de la primera mitad del siglo XX, a partir del estudio de un conjunto de 9 estadísticas antropométricas publicadas entre 1900 y 1961. A través de una reconstrucción estadística, mediante el empleo de las Tablas de Crecimiento de la población infantil española elaboradas por M. Hernández, E Sánchez y B.Sobradillo en 1995, se han estandarizado las tallas y comparado los Indices de Masa Corporal calculados a partir de las medidas publicadas. Los principales resultados son: a) La presencia de diferentes pautas en las trayectorias seculares de crecimiento de niños y niñas. El crecimiento de las tallas entre los niños fue de 1,09 cm por decenio entre 1898 y 1945 y de 1,40 entre 1945 y 1961. Mientras que en el caso de las niñas entre 1898 y 1945 fue de 0,14 cm por decenio para aumentar a 2,18 entre 1945 y 1981. b) Las diferencias sociales en los indicadores antropométricos persisten a lo largo del periodo estudiado c) Los porcentajes de población infantil con probable malnutrición se situaron en torno al 24 por ciento para las generaciones nacidas entre 1885 y 1940, para ir descendiendo de forma irreversible en las nacidas a partir de 1950. De este modo en la década años setenta del siglo XX no parece existir evidencia de tal estado en la población infantil barcelonesa.