Stochastic comparisons and bounds for aging renewal process shock models and their applications

DOI10.1007/BF00052325zbMath1002.60581OpenAlexW2100997120MaRDI QIDQ1373254

Manish C. Bhattacharjee

Publication date: 20 January 2003

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00052325

zbMATH Keywords

boundsstochastic comparisonsaging renewal processesShock models

Mathematics Subject Classification ID

Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Cites Work

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• Nonstationary shock models
• Shock models and wear processes
• The hnbue and hnwue classes of life distributions
• Some generalized variability orderings among life distributions with reliability applications
• A note on queues with a common traffic intensity
• Shock models with phase type survival and shock resistance
• Further stochastic order relations among GI/GI/1 queues with a common traffic intensity
• Shock models with NBUE survival
• Shock models by underlying counting process
• Families of life distributions characterized by two moments

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