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A note on functions of Markov processes with an application to a sequence of χ2 statistics

Published online by Cambridge University Press:  14 July 2016

Murray A. Cameron
Murray A. Cameron*
Affiliation:
Csiro Division of Mathematical Statistics, Newtown, N.S.W.
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Abstract

A sufficient condition for a function of a Markov process to be Markovian is obtained by considering a reverse process of the original Markov process. An application of this result provides a simple derivation of the joint distribution of a sequence of Pearson χ2 statistics previously obtained by Zaharov, Sarmanov and Sevast'ianov (1969).

Keywords

FUNCTIONS OF MARKOV PROCESSESREVERSE PROCESSESSEQUENTIAL PEARSON χ2
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 895 - 900
Copyright
Copyright © Applied Probability Trust 1973 

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References

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