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Loss Data Analysis: The Maximum Entropy Approach
By (author) Henryk Gzyl, By (author) Silvia Mayoral, By (author) Erika Gomes-Gonçalves
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| book description |
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
| product details |
Normally shipped |
Publisher | De Gruyter
Published date | 5 Feb 2018
Language |
Format | Digital (delivered electronically)
Pages | 210
Dimensions | 0 x 0 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-1105-1607-4
Readership Age |
BISAC | mathematics / probability & statistics / general
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Mason Coile
Paperback / softback
224 pages
was: R 520.95
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A terrifying locked-room mystery set in a remote outpost on Mars.
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An epic love story with the pulse of a thriller that asks: what would you risk for a second chance at first love?
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