Loss Data Analysis : The Maximum Entropy Approach, Paperback by Gzyl, Henryk;...

Description: Loss Data Analysis : The Maximum Entropy Approach, Paperback by Gzyl, Henryk; Mayoral, Silvia; Gomes-gonçalves, Erika, ISBN 3111047385, ISBN-13 9783111047386, Like New Used, Free shipping in the US This volume deals with two complementary topics. On one hand th deals with the problem of determining the the probability distribution of a positive compound random variable, a problem which appears in the banking and insurance industries, in many areas of operational research and in reliability problems in the engineering sciences. On the other hand, the methodology proposed to solve such problems, which is based on an application of the maximum entropy method to invert the Laplace transform of the distributions, can be applied to many other problems. Th contains applications to a large variety of problems, including the problem of dependence of the sample data used to estimate empirically the Laplace transform of the random variable. Contents Introduction Frequency models Individual severity models Some detailed examples Some traditional approaches to the aggregation problem Laplace transforms and fractional moment problems The standard maximum entropy method Extensions of the method of maximum entropy Superresolution in maxentropic Laplace transform inversion Sample data dependence Disentangling frequencies and decompounding losses Computations using the maxentropic density Review of statistical procedures

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