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: 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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Produktdetaljer
ISBN
9781000392944
Publisert
2021
Utgave
1. utgave
Utgiver
Vendor
Chapman & Hall
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter