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Properties of conditionally independent generalized gamma distributions. (English) Zbl 1134.90367
Summary: Models of life time observations that have conditionally independent generalized gamma distributions are investigated. Positive dependency among the unconditional joint distribution is discussed. General formula for moment inequalities are given. Conditional hazard rate, mean residual life functions, and bounds for system reliabilities are also discussed. An application was given.

MSC:
90B25 Reliability, availability, maintenance, inspection in operations research
62N05 Reliability and life testing
60E99 Distribution theory
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[1] DOI: 10.2307/2530563 · Zbl 0484.62113
[2] Cantor, IEEE Transactions on Reliability 34 pp 342– (1985)
[3] Block, Communications in Statistics 10 pp 749– (1981)
[4] Barlow, Statistical theory of reliability and life testing (1981)
[5] DOI: 10.1214/aoms/1177704481 · Zbl 0121.36802
[6] DOI: 10.2307/2286232 · Zbl 0375.62092
[7] Karlin, Total positivity (1968)
[8] DOI: 10.2307/3214184 · Zbl 0603.60084
[9] DOI: 10.1093/biomet/61.3.539 · Zbl 0295.62034
[10] DOI: 10.1214/aop/1176993010 · Zbl 0621.62053
[11] DOI: 10.1002/bimj.4710280604 · Zbl 0599.62027
[12] DOI: 10.1016/0047-259X(80)90065-2 · Zbl 0469.60006
[13] DOI: 10.1214/aos/1176343847 · Zbl 0363.62036
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