Loss Data Analysis: The Maximum Entropy Approach (De Gruyter STEM)
by Henryk Gzyl, Silvia Mayoral and Erika Gomes-Gonçalves
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Loss Data Analysis
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
The book, Loss Data Analysis: The Maximum Entropy Approach (De Gruyter STEM) [Bulk, Wholesale, Quantity] ISBN#9783111047386 in Paperback by Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.
Details
- Publisher
- De Gruyter
- Authors
- Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves
- Format
- Paperback
- Published
- Mar 6, 2023
- ISBN-13
- 9783111047386
- ISBN-10
- 3111047385
- Pages
- 222
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