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Fang, C.Y., Liu, Y., Shi, Z.Y. and Chen, C. (2023) Closed-Form Expression of Geometric Brownian Motion with Regime-Switching and Its Applications to European Option Pricing. Symmetry, 15, 575.
https://doi.org/10.3390/sym15030575

has been cited by the following article:

• TITLE: An Infinite Series Expression for the Joint Probability Density Function of OccupationTimes in a Three-State Markov Chain

  AUTHORS: James Evans, Andrzej Korzeniowski

  KEYWORDS: Occupation Times, Markov Chains, Moment Generating Functions, Probability Density Function

  JOURNAL NAME: Advances in Pure Mathematics, Vol.15 No.11, November 18, 2025

  ABSTRACT: We obtain an infinite series expression for the joint probability density function of occupation times in a Three-State Markov chain. By extending the identity given by Darroch, we demonstrate that Pedler’s technique of employing moment generating functions can be applied to the three-state case as well.