A priori ratemaking using bivariate poisson regression models

In automobile insurance, it is useful to achieve a priori ratemaking by resorting to gene- ralized linear models, and here the Poisson regression model constitutes the most widely accepted basis. However, insurance companies distinguish between claims with or without bodily injuries, or claims with full or partial liability of the insured driver. This paper exa- mines an a priori ratemaking procedure when including two di®erent types of claim. When assuming independence between claim types, the premium can be obtained by summing the premiums for each type of guarantee and is dependent on the rating factors chosen. If the independence assumption is relaxed, then it is unclear as to how the tari® system might be a®ected. In order to answer this question, bivariate Poisson regression models, suitable for paired count data exhibiting correlation, are introduced. It is shown that the usual independence assumption is unrealistic here. These models are applied to an automobile insurance claims database containing 80,994 contracts belonging to a Spanish insurance company. Finally, the consequences for pure and loaded premiums when the independence assumption is relaxed by using a bivariate Poisson regression model are analysed.

Els arbres singulars del Parc Natural de l'Alt Pirineu: estudi i proposta d'educació ambiental

Aquest estudi s’ha realitzat amb el principal objectiu de localitzar, analitzar i diagnosticar els arbres singulars subjectes a ser declarats monumentals dins el Parc Natural de l’Alt Pirineu. Concretament s’han inventariat la Vall Ferrera i la Vall de Cardós. L’objectiu secundari ha estat fer una proposta innovadora d’educació ambiental, utilitzant l’arbre com a un instrument pedagògic. S’han inventariat vint-i-tres arbres sent un d’ells ja declarat Arbre Monumental, “l’Avet del Pla de la Selva”. Primerament s’han localitzats els arbres amb l’ajuda dels tècnics del Parc, el coneixement popular i documentació. S’ha utilitzat una metodologia basada en estudis anteriors, mitjançant uns formularis de camp que recullen totes les característiques ecològiques i socioculturals de cada arbre. Posteriorment s’han analitzat les dades obtingudes i s’ha realitzat la diagnosi. S’ha proposat un mètode quantitatiu i un mètode qualitatiu (Rànquing d’Arbres Monumentals). Aquest últim valora cada arbre comparant-lo amb un llistat de tots aquells arbres monumentals de la mateixa espècie en el territori català realitzat per la Generalitat de Catalunya, segons tres paràmetres, l’alçada, el volt de canó i el diàmetre de la capçada. Finalment es proposa a cada arbre la protecció corresponent segons el seu estat de conservació i altres paràmetres. Un dels resultats obtinguts d’aquest estudi ha estat la realització d’una carpeta de material divulgatiu utilitzant cada arbre com a eix central per explicar el medi natural que l’envolta. Amb aquesta iniciativa es vol destacar l’important paper dels arbres monumentals com a connectors amb el medi natural i sociocultural i la necessitat de protegir en tots els Parcs Naturals els arbres singulars.

Modelling dependence in a ratemaking procedure with multivariate Poisson regression models

When actuaries face with the problem of pricing an insurance contract that contains different types of coverage, such as a motor insurance or homeowner's insurance policy, they usually assume that types of claim are independent. However, this assumption may not be realistic: several studies have shown that there is a positive correlation between types of claim. Here we introduce different regression models in order to relax the independence assumption, including zero-inflated models to account for excess of zeros and overdispersion. These models have been largely ignored to multivariate Poisson date, mainly because of their computational di±culties. Bayesian inference based on MCMC helps to solve this problem (and also lets us derive, for several quantities of interest, posterior summaries to account for uncertainty). Finally, these models are applied to an automobile insurance claims database with three different types of claims. We analyse the consequences for pure and loaded premiums when the independence assumption is relaxed by using different multivariate Poisson regression models and their zero-inflated versions.

Estimation of parametric and nonparametric models for univariate claim severity distributions - an approach using R

This paper presents an analysis of motor vehicle insurance claims relating to vehicle damage and to associated medical expenses. We use univariate severity distributions estimated with parametric and non-parametric methods. The methods are implemented using the statistical package R. Parametric analysis is limited to estimation of normal and lognormal distributions for each of the two claim types. The nonparametric analysis presented involves kernel density estimation. We illustrate the benefits of applying transformations to data prior to employing kernel based methods. We use a log-transformation and an optimal transformation amongst a class of transformations that produces symmetry in the data. The central aim of this paper is to provide educators with material that can be used in the classroom to teach statistical estimation methods, goodness of fit analysis and importantly statistical computing in the context of insurance and risk management. To this end, we have included in the Appendix of this paper all the R code that has been used in the analysis so that readers, both students and educators, can fully explore the techniques described

Prediction of individual automobile RBNS claim reserves in the context of Solvency II

Automobile bodily injury (BI) claims remain unsettled for a long time after the accident. The estimation of an accurate reserve for Reported But Not Settled (RBNS) claims is therefore vital for insurers. In accordance with the recommendation included in the Solvency II project (CEIOPS, 2007) a statistical model is here implemented for RBNS reserve estimation. Lognormality on empirical compensation cost data is observed for different levels of BI severity. The individual claim provision is estimated by allocating the expected mean compensation for the predicted severity of the victim’s injury, for which the upper bound is also computed. The BI severity is predicted by means of a heteroscedastic multiple choice model, because empirical evidence has found that the variability in the latent severity of injured individuals travelling by car is not constant. It is shown that this methodology can improve the accuracy of RBNS reserve estimation at all stages, as compared to the subjective assessment that has traditionally been made by practitioners.

Valuation of defaultable bonds and debt restructuring

In this paper we develop a contingent valuation model for zero-coupon bonds with default. In order to emphasize the role of maturity time and place of the lender’s claim in the hierarchy of debt of a firm, we consider a firm that issues two bonds with different maturities and different seniorage. The model allows us to analyze the implications of both debt renegotiation and capital structure of a firm on the prices of bonds. We obtain that renegotiation brings about a significant change in the bond prices and that the effect is dispersed through different channels: increasing the value of the firm, reallocating payments, and avoiding costly liquidation. Moreover, the presence of two creditors leads to qualitatively different implications for pricing, while emphasizing the importance of bond covenants and renegotiation of the entire debt.

Multi-Scale Integrated Analysis of Societal and Ecosystem Metabolism (MUSIASEM): an outline of rationale and theory

This paper presents an outline of rationale and theory of the MuSIASEM scheme (Multi-Scale Integrated Analysis of Societal and Ecosystem Metabolism). First, three points of the rationale behind our MuSIASEM scheme are discussed: (i) endosomatic and exosomatic metabolism in relation to Georgescu-Roegen’s flow-fund scheme; (2) the bioeconomic analogy of hypercycle and dissipative parts in ecosystems; (3) the dramatic reallocation of human time and land use patterns in various sectors of modern economy. Next, a flow-fund representation of the MUSIASEM scheme on three levels (the whole national level, the paid work sectors level, and the agricultural sector level) is illustrated to look at the structure of the human economy in relation to two primary factors: (i) human time - a fund; and (ii) exosomatic energy - a flow. The three levels representation uses extensive and intensive variables simultaneously. Key conceptual tools of the MuSIASEM scheme - mosaic effects and impredicative loop analysis - are explained using the three level flow-fund representation. Finally, we claim that the MuSIASEM scheme can be seen as a multi-purpose grammar useful to deal with sustainability issues.

Calculation of the variance in surveys of the economic climate

Public opinion surveys have become progressively incorporated into systems of official statistics. Surveys of the economic climate are usually qualitative because they collect opinions of businesspeople and/or experts about the long-term indicators described by a number of variables. In such cases the responses are expressed in ordinal numbers, that is, the respondents verbally report, for example, whether during a given trimester the sales or the new orders have increased, decreased or remained the same as in the previous trimester. These data allow to calculate the percent of respondents in the total population (results are extrapolated), who select every one of the three options. Data are often presented in the form of an index calculated as the difference between the percent of those who claim that a given variable has improved in value and of those who claim that it has deteriorated. As in any survey conducted on a sample the question of the measurement of the sample error of the results has to be addressed, since the error influences both the reliability of the results and the calculation of the sample size adequate for a desired confidence interval. The results presented here are based on data from the Survey of the Business Climate (Encuesta de Clima Empresarial) developed through the collaboration of the Statistical Institute of Catalonia (Institut d’Estadística de Catalunya) with the Chambers of Commerce (Cámaras de Comercio) of Sabadell and Terrassa.

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.

Effects of Bilingualism on Multi-Word Production

It has been shown that bilinguals are disadvantaged on some language production tasks when compared to monolinguals. The present study investigated the effects of bilingualism on lexical retrieval in single and multi-word utterances. To this purpose, we tested three groups of 35 participants each (Spanish monolinguals, highly proficient Spanish-Catalan and Catalan-Spanish bilinguals) in two sets of picture naming experiments. In the first one, participants were asked to name black-and-white object drawings by single words. In the second one, participants had to name colored pictures with determiner adjectival noun phrases (NP) like “the red car”. In both sets of experiments, bilinguals were slower than monolinguals, even when naming in their dominant language. We also examined the articulatory durations of both single word and NP productions for this bilingual disadvantage. Furthermore, response onset times and durations of all groups in both experiments were affected by lexical variables of the picture names. These results are consistent with previous studies (Ivanova & Costa, 2008, Gollan et al., 2005) showing a bilingual disadvantage in single word production and extend these findings to multiword-utterances and response durations. They also support the claim that articulatory processes are influenced by lexical variables.

Use and availability of scholarly journals in Catalan academic libraries

This paper presents the results of a survey of academics affiliated to the universities that are members of the Consortium of Academic Libraries of Catalonia (CBUC), and an analysis of the availability in the libraries of these universities, of the references cited in a sample of articles published by these academics. The results reflect the major importance that researchers assign to scholarly journals as the main source of scientific information. Most state that they use electronic journals either exclusively or in any case more than print journals, a preference that is higher among younger scholars. With regard to frequency of reading, four out of ten researchers state that they read journals virtually every day, while nine out of ten report that they do so at least once a week. Scholars claim that the obstacles they face when trying to download an article are related to the lack of subscriptions. However, the availability study showed that most of the articles cited in their publications are available at least at one of the CBUC libraries. Though most researchers keep a copy of the articles they consult, just over a third of them use some kind of reference management software.

The CFSP/ESDP, Parliamentary Accountability, and the ´Future of Europe´ Convention debate

This paper examines the importance that the current Convention on the Future of Europe is giving (or not) to the question of democratic accountability in European foreign and defence policy. As all European Union (EU) member states are parliamentary democracies1, and as there is a European Parliament (EP) which also covers CFSP (Common Foreign and Security Policy) and ESDP (European Security and Defence Policy2) matters, I will concentrate on parliamentary accountability rather than democratic accountability more widely defined. Where appropriate, I will also refer to the work of other transnational parliamentary bodies such as the North Atlantic Assembly or NAA (NATO´s Parliamentary Assembly) or the Western European Union (WEU) Parliamentary Assembly3. The article will consist of three sections. First, I will briefly put the question under study within its wider context (section 1). Then, I will examine the current level of parliamentary accountability in CFSP and defence matters (section 2). Finally, I will consider the current Convention debate and assess how much attention is being given to the question of accountability in foreign and defence policies (section 3). This study basically argues that, once again, there is very little interest in an issue that should be considered as vital for the future democratic development of a European foreign and defence policy. It is important to note however that this paper does not cover the wider debate about how to democratise and make the EU more transparent and closer to its citizens. It concentrates on its Second Pillar because its claim is that very little if any attention is being given to this question

Modification of the Perrine-Baum diagram to improve the calculation of high voltage electric lines

Through the history of Electrical Engineering education, vectorial and phasorial diagrams have been used as a fundamental learning tool. At present, computational power has replaced them by long data lists, the result of solving equation systems by means of numerical methods. In this sense, diagrams have been shifted to an academic background and although theoretically explained, they are not used in a practical way within specific examples. This fact may be against the understanding of the complex behavior of the electrical power systems by students. This article proposes a modification of the classical Perrine-Baum diagram construction to allowing both a more practical representation and a better understanding of the behavior of a high-voltage electric line under different levels of load. This modification allows, at the same time, the forecast of the obsolescence of this behavior and line’s loading capacity. Complementary, we evaluate the impact of this tool in the learning process showing comparative undergraduate results during three academic years

An LFG approach to the syntax of quotation

This paper attempts to give an account of the syntax of quotation from an LFG perspective. I claim that quotes are inserted at N’ positions by making use of a special phrase structure rule that makes the quote’s f-structure the PRED value of the mother f-structure. However, in order to reach to this conclusion, the concept of quotation has to be restricted to only include metalinguistic and direct reported speech quotes, by making use of the property of grammatical opacity, i.e. only subsegments whose ungrammaticality does not affect the grammaticality of the whole sentence are quotes. The main advantage of this is this distinguishes the syntax of direct quotes from the one of other citational but not quotational structures like Davidson’s (1979) and Cappelen and Lepore’s (2007) mixed quotation.

The effects of employment uncertainty and wealth shocks on the labor supply and claiming behavior of older American workers

Unemployment rates in developed countries have recently reached levels not seenin a generation, and workers of all ages are facing increasing probabilities of losingtheir jobs and considerable losses in accumulated assets. These events likely increasethe reliance that most older workers will have on public social insurance programs,exactly at a time that public finances are suffering from a large drop in contributions.Our paper explicitly accounts for employment uncertainty and unexpectedwealth shocks, something that has been relatively overlooked in the literature, butthat has grown in importance in recent years. Using administrative and householdlevel data we empirically characterize a life-cycle model of retirement and claimingdecisions in terms of the employment, wage, health, and mortality uncertainty facedby individuals. Our benchmark model explains with great accuracy the strikinglyhigh proportion of individuals who claim benefits exactly at the Early RetirementAge, while still explaining the increased claiming hazard at the Normal RetirementAge. We also discuss some policy experiments and their interplay with employmentuncertainty. Additionally, we analyze the effects of negative wealth shocks on thelabor supply and claiming decisions of older Americans. Our results can explainwhy early claiming has remained very high in the last years even as the early retirementpenalties have increased substantially compared with previous periods, andwhy labor force participation has remained quite high for older workers even in themidst of the worse employment crisis in decades.