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Series Expansions for Finite-State Markov Chains

Author

Listed:
  • Bernd Heidergott

    (Faculty of Economics, Vrije Universiteit Amsterdam)

  • Arie Hordijk

    (Leiden University, Mathematical Institute)

  • Miranda van Uitert

    (Faculty of Economics, Vrije Universiteit Amsterdam)

Abstract

This discussion paper led to a publication in 'Operations Research' , 2009, 58(3), 756-767. This paper provides series expansions of the stationary distribution of a finite Markov chain. This leads to an efficient numerical algorithm for computing the stationary distribution of a finite Markov chain. Numerical examples are given to illustrate the performance of the algorithm.

Suggested Citation

  • Bernd Heidergott & Arie Hordijk & Miranda van Uitert, 2005. "Series Expansions for Finite-State Markov Chains," Tinbergen Institute Discussion Papers 05-086/4, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20050086
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    More about this item

    Keywords

    finite-state Markov chain; (Taylor) series expansion; measure-valued derivatives; coupled processors;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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