Loss Data Analysis : : The Maximum Entropy Approach / / Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves.
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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2018 |
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Gzyl, Henryk, author. aut http://id.loc.gov/vocabulary/relators/aut Loss Data Analysis : The Maximum Entropy Approach / Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (XII, 198 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter STEM Frontmatter -- 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. 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 Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Loss control Statistical methods. Maxium entropy method. Datenanalyse. Risikoanalyse. MATHEMATICS / Probability & Statistics / General. bisacsh Gomes-Gonçalves, Erika, author. aut http://id.loc.gov/vocabulary/relators/aut Mayoral, Silvia, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English 9783110604191 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 9783110603194 ZDB-23-DMA EPUB 9783110516135 print 9783110516043 https://doi.org/10.1515/9783110516074 https://www.degruyter.com/isbn/9783110516074 Cover https://www.degruyter.com/cover/covers/9783110516074.jpg |
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English |
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eBook |
author |
Gzyl, Henryk, Gzyl, Henryk, Gomes-Gonçalves, Erika, Mayoral, Silvia, |
spellingShingle |
Gzyl, Henryk, Gzyl, Henryk, Gomes-Gonçalves, Erika, Mayoral, Silvia, Loss Data Analysis : The Maximum Entropy Approach / De Gruyter STEM Frontmatter -- 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 |
author_facet |
Gzyl, Henryk, Gzyl, Henryk, Gomes-Gonçalves, Erika, Mayoral, Silvia, Gomes-Gonçalves, Erika, Gomes-Gonçalves, Erika, Mayoral, Silvia, Mayoral, Silvia, |
author_variant |
h g hg h g hg e g g egg s m sm |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Gomes-Gonçalves, Erika, Gomes-Gonçalves, Erika, Mayoral, Silvia, Mayoral, Silvia, |
author2_variant |
e g g egg s m sm |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Gzyl, Henryk, |
title |
Loss Data Analysis : The Maximum Entropy Approach / |
title_sub |
The Maximum Entropy Approach / |
title_full |
Loss Data Analysis : The Maximum Entropy Approach / Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves. |
title_fullStr |
Loss Data Analysis : The Maximum Entropy Approach / Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves. |
title_full_unstemmed |
Loss Data Analysis : The Maximum Entropy Approach / Henryk Gzyl, Silvia Mayoral, Erika Gomes-Gonçalves. |
title_auth |
Loss Data Analysis : The Maximum Entropy Approach / |
title_alt |
Frontmatter -- 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 |
title_new |
Loss Data Analysis : |
title_sort |
loss data analysis : the maximum entropy approach / |
series |
De Gruyter STEM |
series2 |
De Gruyter STEM |
publisher |
De Gruyter, |
publishDate |
2018 |
physical |
1 online resource (XII, 198 p.) |
contents |
Frontmatter -- 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 |
isbn |
9783110516074 9783110719550 9783110604252 9783110603255 9783110604191 9783110603194 9783110516135 9783110516043 |
callnumber-first |
T - Technology |
callnumber-subject |
T - General Technology |
callnumber-label |
T57 |
callnumber-sort |
T 257.35 G985 42018 |
url |
https://doi.org/10.1515/9783110516074 https://www.degruyter.com/isbn/9783110516074 https://www.degruyter.com/cover/covers/9783110516074.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
600 - Technology |
dewey-tens |
620 - Engineering |
dewey-ones |
620 - Engineering & allied operations |
dewey-full |
620.8/6 |
dewey-sort |
3620.8 16 |
dewey-raw |
620.8/6 |
dewey-search |
620.8/6 |
doi_str_mv |
10.1515/9783110516074 |
oclc_num |
1023539563 |
work_keys_str_mv |
AT gzylhenryk lossdataanalysisthemaximumentropyapproach AT gomesgoncalveserika lossdataanalysisthemaximumentropyapproach AT mayoralsilvia lossdataanalysisthemaximumentropyapproach |
status_str |
n |
ids_txt_mv |
(DE-B1597)472898 (OCoLC)1023539563 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2018 |
is_hierarchy_title |
Loss Data Analysis : The Maximum Entropy Approach / |
container_title |
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
author2_original_writing_str_mv |
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