Some results on weak convergence of jump Markov processes and their stability properties

DOI10.1016/0167-6911(82)90016-0zbMath0499.93051OpenAlexW2124192320MaRDI QIDQ1172028

Giovanna Nappo, Cristina Costantini

Publication date: 1982

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(82)90016-0

zbMATH Keywords

weak convergencejump processesstationary distributionsk-asymptotic stability

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic stability in control theory (93D20) Stochastic approximation (62L20) Diffusion processes (60J60) Stochastic systems in control theory (general) (93E03)

Related Items (1)

On the convergence of sequences of stationary jump Markov processes

Cites Work

• Asymptotic properties of Markovian master equations
• Semigroups of conditioned shifts and approximation of Markov processes
• Strong approximation theorems for density dependent Markov chains
• Synergetics. An introduction. Nonequilibrium phase transitions and self- organization in physics, chemistry and biology. 2nd enl. ed
• Extensions of Trotter's operator semigroup approximation theorems
• Generalized hopf bifurcation and h-asymptotic stability
• Comparison of Semi-Markov and Markov Processes
• Limit theorems for sequences of jump Markov processes approximating ordinary differential processes
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