Abstract We derive formulae for the moments of time ruin in both ordinary and modified Sparre Andersen risk models without specifying either inter-claim distribution or individual claim amount distribution. illustrate application our results special case exponentially distributed claims, as well following models: classical model, phase-type(2) models, Erlang( $\mathscr{n}$ ) model. also show ho...

In this paper we consider compound distributions where the counting distribution is a bivariate distribution with the probability function (Pn,,,2)n,,n2_>0 that satisfies a recursion in the form P""n2 = a°+al +a~2 +n~2/P'"-t'n2-' n2 P,1-1.,,2 qCOW Phi,n2-1, h i , n2 = 1, 2, ... We present an algorithm for recursive evaluation of the corresponding compound distributions and some examples of dist...

We describe the results of a questionnaire in which Belgian and German students were confronted with nine claims problems. In these problems an amount of money has to be divided among individuals with differing claims and the total amount available falls short of the sum of the claims. Two versions of the questionnaire were presented to two different groups of respondents. The formal structure ...

OBJECTIVE An analysis of paid malpractice claims judged in court compared with those settled out of court may help explain perceptions of malpractice risk. DESIGN A retrospective analysis and cross-sectional comparison of malpractice claims. Evaluated trends in the number and proportion of paid claims, and mean payment amount by resolution type; identified patient, physician and claim charact...

Mental disorders cause a substantial amount of the burden of disease. Although they are less frequent in rural areas, their provision of care is disproportionately lower. Reimbursement claims in the federal state of Mecklenburg-West Pomerania of the years 2006/2007 serve as the basis for the descriptive distribution of subgroups on the total number of mental disorders and their outpatient care....

Catastrophes produce rare and highly correlated insurance claims, which depend on the amount of coverage at different locations. A joint probability distribution of these claims is analytically intractable. The most promising approach for estimating total claims for a particular combination of decision variables involves geographically explicit simulations of catastrophes. The straightforward u...

In the area of insurance, probability modeling has a wide variety applications. life compensation sum is calculated in advance and may often be estimated using actuarial techniques, while motor claim amount generally not known advance. insurance business, improvement risk control strategies an essential technique for controlling risk. Although company’s assessment about its solvency complex det...