A Fleming-Viot Process with Unbounded Selection, II

S. N. Ethier and Tokuzo Shiga
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S. N. Ethier: University of Utah
Tokuzo Shiga: Tokyo Institute of Technology

Chapter Chapter 17 in Markov Processes and Controlled Markov Chains, 2002, pp 305-322 from Springer

Abstract: Abstract In a previous paper the authors studied a Fleming—Viot process with house-of-cards mutation and an unbounded haploid selection intensity function. Results included existence and uniqueness of solutions of an appropriate martingale problem, existence, uniqueness, and reversibility of stationary distributions, and a weak limit theorem for a corresponding sequence of Wright—Fisher models. In the present paper we extend these results to the diploid setting. The existence and uniqueness results carry over fairly easily, but the limit theorem is more difficult and requires new ideas.

Keywords: MARKOV Process; Stationary Distribution; Diffusion Approximation; Markov Chain Model; Borel Function (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0265-0_17

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DOI: 10.1007/978-1-4613-0265-0_17

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