MONOTONICITY IN LAG FOR NONMONOTONE MARKOV CHAINS

DOI10.1017/S0269964804184040zbMath1068.60089OpenAlexW2145324741MaRDI QIDQ4673891

Rafał Kulik

Publication date: 9 May 2005

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964804184040

zbMATH Keywords

supermodular orderingmajorizing orderingmonotonicity condition of Markov chainmonotonicity of covariancesnonmonotone double stochastic Markov chainsstochastically (non-)monotone Markov chains

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

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Dependence in Lag for Markov Chains on Partially Ordered State Spaces with Applications to Degradable Networks

Cites Work

• Monotone matrices and monotone Markov processes
• Monotone and associated Markov chains, with applications to reliability theory
• Monotonicity Properties of Second Order Characteristics of Stochastically Monotone MARKOV Chains
• Ross-Type Conjectures on Monotonicity of Queues
• Stochastically monotone Markov Chains