Sample Path Analysis and Distributions of Boundary Crossing Times

This monograph is focused on the derivations of exact distributions of first boundary crossing times of Poisson processes, compound Poisson processes, and more general renewal processes.  The content is limited to the distributions of first boundary crossing times and their applications to various s...

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Bibliographic Details
Main Author: Zacks, Shelemyahu
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Technical Prerequisites
  • First Crossing by Poisson Processes
  • First Crossing by Compound Poisson Processes
  • Telegraph Processes
  • Sequential Estimation
  • First Crossing a Random Process
  • Failure Times of Deterioration Processes
  • Miscellaneous Topics