Some limit theorems for cumulative processes with applications to sojourn times

DOI10.1016/0167-6377(87)90035-6zbMath0632.60085OpenAlexW1999311195MaRDI QIDQ1095508

Vidyadhar G. Kulkarni

Publication date: 1987

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(87)90035-6

zbMATH Keywords

expected sojourn times in an alternating renewal processexpected total time spent in a given statepositive recurrent Markov and semi-Markov processes

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Markov renewal processes, semi-Markov processes (60K15) Renewal theory (60K05)

Cites Work

• Regenerative stochastic processes
• Asymptotic Properties of Cumulative Processes
• The Integral of a Step Function Defined on a Semi-Markov Process
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