Titlebook: Risk Theory; The Stochastic Basis Robert Eric Beard,Teivo Pentikäinen,Erkki Pesonen Book 1977 R. E. Beard, T. Pentikäinen, E. Pesonen 1977

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y the Society of Actuaries Research Committee in September 1974 provide an effective review of the ourrent position (Credibility, Theory and Applications, Ed. P. M. Kahn, Academic Press, 1975). It is doubtful if any practical use is now made of the Esscher approximation and the N-P method is much mo

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Ettore Majorana International Science Serieshttp://image.papertrans.cn/r/image/830726.jpg

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Generalized Poisson Distribution,To obtain the distribution of the general risk process it is necessary to have as an auxiliary function the distribution function . of the size of a claim. ..

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Applications of the Normal Approximation,The great advantage of the normal approximation is that it leads to formulae in which most of the variables concerned are in an explicit form. The basic expression for this purpose is obtained as follows.

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Other Methods of Calculating the Generalized Poisson Function,According to a general theorem of Fourier transforms the transform (3.10) . has an inverse transform, which gives . uniquely, provided there is a definite convention as to how . are defined at points of discontinuity as is the case for probability distributions. The result is given without proof.

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