A Characterization of Reversible Markov Chains by a Rotational Representation
-
1
Universidad de Valladolid
info
ISSN: 0091-1798
Datum der Publikation: 1991
Ausgabe: 19
Nummer: 2
Art: Artikel
Andere Publikationen in: The Annals of Probability
Zusammenfassung
Let P = (p(ij)), i,j = 1,2,...,n be the matrix of a recurrent Markov chain with stationary vector upsilon > 0 and let R = (r(ij)), i, j = 1,2,...,n be a matrix, where r(ij) = upsilon-(i)p(ij). If R is a symmetric matrix, we improve Alpern's rotational representation of P. By this representation we characterize the reversible Markov chains.