Shocks, runs, and random sums: asymptotic behavior of the tail of the distribution function

DOI10.1023/A:1016195417874zbMath1005.60048OpenAlexW182390373MaRDI QIDQ1848048

Yanyan Li

Publication date: 25 November 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016195417874

zbMATH Keywords

shock modelssubexponentiality

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

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Life behavior of censored \(\delta\)-shock model ⋮ Lifetime properties of a cumulative shock model with a cluster structure ⋮ Multivariate subexponential distributions and random sums of random vectors

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