Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations Contributor(s): Malinovskii, Vsevolod K. (Author) |
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ISBN: 036774029X ISBN-13: 9780367740290 Publisher: CRC Press OUR PRICE: $218.50 Product Type: Hardcover - Other Formats Published: July 2021 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - Time Series - Mathematics | Mathematical Analysis - Mathematics | Applied |
Dewey: 519.24 |
LCCN: 2021000975 |
Physical Information: 1" H x 6.14" W x 9.21" (1.78 lbs) 452 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations focusses on the 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, and 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 a theoretical background in level-crossing problems, e.g., from the insurance industry, can also benefit from reading this book. Features:
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