Unimodality preservation in Markov chains

DOI10.1016/0304-4149(78)90016-9zbMath0397.60054OpenAlexW2059052142MaRDI QIDQ1253847

Julian Keilson, Adri Kester

Publication date: 1978

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(78)90016-9

zbMATH Keywords

UnimodalityBirth-Death ProcessesMonotone Markov ChainsTotal Positivity

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

The preservation of likelihood ratio ordering under convolution, Temporal stochastic convexity and concavity, Optimal couplings are totally positive and more, A monotonicity in reversible Markov chains, Uniform stochastic ordering and related inequalities, Comparison and classification of linear systems over idempotent semirings inspired by total positivity

Cites Work

• Monotone matrices and monotone Markov processes
• Stochastically monotone Markov Chains
• Log-concavity and log-convexity in passage time densities of diffusion and birth-death processes
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