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Loss Data Analysis : the Maximum Entropy Approach.

This volume deals with two complementary topics. On one hand the book 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 reliabili...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gzyl, Henryk
Otros Autores: Mayoral, Silvia, Gomes-Goncalves, Erika
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin/Boston : De Gruyter, Inc., 2018.
Colección:De Gruyter Textbook Ser.
Temas:
Acceso en línea:Texto completo

MARC

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505 0 |a Intro; Preface; Contents; 1 Introduction; 2 Frequency models; 3 Individual severity models; 4 Some detailed examples; 5 Some traditional approaches to the aggregation problem; 6 Laplace transforms and fractional moment problems; 7 The standard maximum entropy method; 8 Extensions of the method of maximum entropy; 9 Superresolution in maxentropic Laplace transform inversion; 10 Sample data dependence; 11 Disentangling frequencies and decompounding losses; 12 Computations using the maxentropic density; 13 Review of statistical procedures; Index; Bibliography. 
520 |a This volume deals with two complementary topics. On one hand the book 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. The book 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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650 0 |a Loss control  |x Statistical methods. 
650 0 |a Maxium entropy method. 
650 6 |a Contrôle des pertes  |x Méthodes statistiques. 
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700 1 |a Mayoral, Silvia. 
700 1 |a Gomes-Goncalves, Erika. 
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