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https://doi.org/10.1017/s0021900200110095

has been cited by the following article:

• TITLE: A Closed Form Probability Mass Function for Occupation Times in a Three-State Markov Chain

  AUTHORS: James Evans, Andrzej Korzeniowski

  KEYWORDS: Occupation Times, Markov Chains, Probability Generating Functions, Probability Mass Function

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.8, August 28, 2025

  ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a Two-State Markov chain by utilizing the method of probability generating functions given in Pedler.