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  7. Level-Crossing Problems and Inverse Gaussian Distributions

Level-Crossing Problems and Inverse Gaussian Distributions

Closed-Form Results and Approximations

Vsevolod K Malinovskii
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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:

  • 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
  • Spécifications

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    Auteur(s) :
    Editeur:

    Contenu

    Nombre de pages :
    452
    Langue:
    Anglais
    Collection :

    Caractéristiques

    EAN:
    9780367740290
    Date de parution :
    27-07-21
    Format:
    Livre relié
    Format numérique:
    Genaaid
    Dimensions :
    156 mm x 234 mm
    Poids :
    807 g

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