A coupling technique for stochastic comparison of functions of Markov Processes. Issue 1 (2000)

• Record Type: Journal Article
• Authors: Doisy, M.
• Is Part Of: Journal of applied mathematics & decision sciences. Volume 4:Issue 1(2000)
• Page Start: 39
• Page End: 64
• Publication Date: 2000
• Subjects: Operations research -- Periodicals; Mathematical models -- Periodicals; Statistics -- Periodicals; Quality control -- Periodicals; Mathematical models; Operations research; Quality control; Statistics; Periodicals; 519.05
• DOI: 10.1155/S1173912600000031
• Languages: English
• ISSNs: 1173-9126

Abstract

Abstract : The aim of this work is to obtain explicit conditions ( i.e., conditions on the transition rates) for the stochastic comparison of Markov Processes. A general coupling technique is used to obtain necessary and sufficient conditions for the construction of a coupling Markov Process which stays in a fixed setK for all times and with given marginal processes. The strong stochastic comparison—or, more generally, the stochastic comparison through states functions—appears as a particular case. An example in the Reliability Theory is developed and proves the efficiency of the method. Systems with multiple component types and redundant units are stochastically compared directly or through particular functions.