JSM 2005 - Toronto

Abstract #302489

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 461
Type: Invited
Date/Time: Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #302489
Title: Applications of Frank Proschan's Ideas and Methodology to Markov Chains
Author(s): Mark Brown*+
Companies: City College of New York, CUNY
Address: Mathematics Department, Scarsdale, NY, 10583, USA
Keywords: Markov chains ; Reliability classes ; First passage time distributions
Abstract:

The work of Frank Proschan in reliability is well-known among both theorists and practitioners. The reliability methodology developed by Proschan and his collaborators has applications to several other fields. This talk will focus on applications to Markov chains in both discrete and continuous time. The theme is that by characterizing a distribution of interest as belonging to a reliability aging class, useful bounds and approximations become readily available. We will present specific examples involving first passage time distributions, approximate exponentiality, and bounds for ergodicity.

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