The Passage Time Distribution for a Birth-and-Death Chain: Strong Stationary Duality Gives a First Stochastic Proof

Strong Stationary Times Via a New Form of Duality

Persi Diaconis, James Allen Fill · The Annals of Probability · 1990 · 276 citations · Full text

Engineering, Mathematics, Physics +17

Strong uniform times and finite random walks

David Aldous, Persi Diaconis · Advances in Applied Mathematics · 1987 · 240 citations

Engineering, Mathematics, Physics +13

Coincidence properties of birth and death processes

Samuel Karlin, James McGregor · Pacific Journal of Mathematics · 1959 · 221 citations · Full text

Engineering, Mathematics, Dynamical Systems +7

Random walks and a sojourn density process of Brownian motion

Frank B. Knight · Transactions of the American Mathematical Society · 1963 · 183 citations

Engineering, Mathematics, Probability Theory +12

An interruptible algorithm for perfect sampling via Markov chains

James Allen Fill · The Annals of Applied Probability · 1998 · 177 citations · Full text

Computing, Computer Science, Algorithms +12