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The Second Moment of the Markovian Reward Process

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 370))

Abstract

In this note an m-state aperiodic irreducible Markov Chain is considered with an associated reward matrix. Expressions for the second moment of Sn, the accumulated reward in n transitions, have been obtained using elementary methods. These provide an alternative computational method compared to methods using the eigen value structure. Asmyptotic forms are also considered.

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Reference

  • Bhat, U.N., (1972) Elements of Applied Stochastic Processes. John Wiley and Sons, Inc., New York.

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  • Howard, R.A., (1971) Dynamic Probabilistic Systems. Vol.11: Semi Markov and Decision Processes. John Wiley and Sons, Inc.,New York.

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  • Phatarfod, R.M., (1965) Sequential Analysis of Dependent Observations-I, Biometrika, 52, 157–165.

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© 1991 Springer-Verlag Berlin Heidelberg

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Subba Rao, S. (1991). The Second Moment of the Markovian Reward Process. In: Beckmann, M.J., Gopalan, M.N., Subramanian, R. (eds) Stochastic Processes and their Applications. Lecture Notes in Economics and Mathematical Systems, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58201-1_23

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  • DOI: https://doi.org/10.1007/978-3-642-58201-1_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54635-1

  • Online ISBN: 978-3-642-58201-1

  • eBook Packages: Springer Book Archive

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