
Loss Data Analysis
The Maximum Entropy Approach
- 210 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
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.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Title Page
- Copyright
- 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