Ebook: The Inverse Gaussian Distribution: Statistical Theory and Applications

This book is written in the hope that it will serve as a companion volume to my first monograph. The first monograph was largely devoted to the probabilistic aspects of the inverse Gaussian law and therefore ignored the statistical issues and related data analyses. Ever since the appearance of the book by Chhikara and Folks, a considerable number of publications in both theory and applications of the inverse Gaussian law have emerged thereby justifying the need for a comprehensive treatment of the issues involved. This book is divided into two sections and fills up the gap updating the material found in the book of Chhikara and Folks. Part I contains seven chapters and covers distribution theory, estimation, significance tests, goodness-of-fit, sequential analysis and compound laws and mixtures. The first part forms the backbone of the theory and wherever possible I have provided illustrative examples for easy assimilation of the theory. The second part is devoted to a wide range of applications from various disciplines. The applied statistician will find numerous instances of examples which pertain to a first passage time situation. It is indeed remarkable that in the fields of life testing, ecology, entomology, health sciences, traffic intensity and management science the inverse Gaussian law plays a dominant role. Real life examples from actuarial science and ecology came to my attention after this project was completed and I found it impossible to include them.

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This book will appeal to probabilists and mathematical statisticians interested in the inverse Gaussian distribution. It will also be of value to those wishing to use the distibution in a particular subject matter. It provides a broad, up-to-date coverage of topics, an in-depth description of many examples, and a very large bibliography.

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This book will appeal to probabilists and mathematical statisticians interested in the inverse Gaussian distribution. It will also be of value to those wishing to use the distibution in a particular subject matter. It provides a broad, up-to-date coverage of topics, an in-depth description of many examples, and a very large bibliography.
Content:
Front Matter....Pages n1-xii
Distribution Theory....Pages 1-22
Estimation....Pages 23-37
Significance Tests....Pages 38-72
Sequential Methods....Pages 73-91
Reliability and Survival Analysis....Pages 92-113
Goodness-of-Fit....Pages 114-120
Compound Laws and Mixtures....Pages 121-166
Actuarial Science....Pages 167-171
Analysis of reciprocals....Pages 172-190
Demography....Pages 191-193
Histomorphometry....Pages 194-197
Electrical networks....Pages 198-202
Hydrology....Pages 203-205
Life tests....Pages 206-219
Management....Pages 220-229
Meteorology....Pages 230-231
Mental health....Pages 232-234
Physiology....Pages 235-251
Remote sensing....Pages 252-258
Traffic noise intensity....Pages 259-261
Market Research....Pages 262-264
Regression....Pages 265-283
Slug lengths in pipelines....Pages 284-285
Ecology....Pages 286-297
Entomology....Pages 298-304
Small area estimation....Pages 305-308
Cusum....Pages 309-313
Plutonium Estimation....Pages 314-316
Back Matter....Pages 317-349

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This book will appeal to probabilists and mathematical statisticians interested in the inverse Gaussian distribution. It will also be of value to those wishing to use the distibution in a particular subject matter. It provides a broad, up-to-date coverage of topics, an in-depth description of many examples, and a very large bibliography.
Content:
Front Matter....Pages n1-xii
Distribution Theory....Pages 1-22
Estimation....Pages 23-37
Significance Tests....Pages 38-72
Sequential Methods....Pages 73-91
Reliability and Survival Analysis....Pages 92-113
Goodness-of-Fit....Pages 114-120
Compound Laws and Mixtures....Pages 121-166
Actuarial Science....Pages 167-171
Analysis of reciprocals....Pages 172-190
Demography....Pages 191-193
Histomorphometry....Pages 194-197
Electrical networks....Pages 198-202
Hydrology....Pages 203-205
Life tests....Pages 206-219
Management....Pages 220-229
Meteorology....Pages 230-231
Mental health....Pages 232-234
Physiology....Pages 235-251
Remote sensing....Pages 252-258
Traffic noise intensity....Pages 259-261
Market Research....Pages 262-264
Regression....Pages 265-283
Slug lengths in pipelines....Pages 284-285
Ecology....Pages 286-297
Entomology....Pages 298-304
Small area estimation....Pages 305-308
Cusum....Pages 309-313
Plutonium Estimation....Pages 314-316
Back Matter....Pages 317-349
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