Donkey walk and Dirichlet distributions
type: Item
instance of: scholarly article
title: Donkey walk and Dirichlet distributions
zbMATH Open document ID: 1016.60067
DOI: 10.1016/S0167-7152(02)00027-5
author: Gérard Letac
published in: Statistics \& Probability Letters
publication date: 2002-09-05T00:00:00Z
review text: This paper deals with the computation of the stationary distribution associated to a Markov chain on a tetrahedron with Dirichlet-type entries. This refines a result of \textit{J. Stoyanov} and \textit{C. Pirinsky} [Stat. Probab. Lett. 50, No. 3, 293-304 (2000; Zbl 0964.60072)]. Here, Buridan gives his donkey the choice between a greater variety of meals than just hay and water.
reviewed by: Thomas Simon
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60B15
zbMATH DE Number: 1796712
zbMATH Keywords: generalized Buridan's donkey
zbMATH Keywords: Markov chains in a tetrahedron
zbMATH Keywords: random walk on stochastic matrices
MaRDI profile type: Publication
cites work: Explicit stationary distributions for compositions of random functions and products of random matrices
cites work: A transient random walk on stochastic matrices with Dirichlet distributions
cites work: Random nested tetrahedra
cites work: Random motions, classes of ergodic Markov chains and beta distributions
cites work: On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
full work available at URL: s0167-7152(02)00027-5
OpenAlex ID: W1993926823
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description: scientific article; zbMATH DE number 1796712