Level-crossing problems and inverse Gaussian distributions : closed-form results and approximations /
"Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations focusses on inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
2022.
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| Edition: | First edition. |
| Series: | Monographs and research notes in mathematics
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | "Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations focusses on inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cramér's), diffusion, and Teugels' approximations, being a breakthrough in its conditions and accuracy. Since such approximations underlie numerous applications in risk theory, queueing theory, reliability theory, mathematical theory of dams and inventories, this book is of interest not only to professional mathematicians, but also to physicists, engineers, and economists. People from industry, with theoretical background in level-crossing problem, e.g., from the insurance industry, can benefit from reading this book. Features Primarily aimed at researchers and postgraduates, but may be of interest to some professionals working in related fields, such as the insurance industry Suitable for advanced courses in Applied Probability and, as a supplementary reading, for basic courses in Applied Probability"-- |
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| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781003157618 1003157610 9781000392920 1000392929 9781000392944 1000392945 |