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On the proportional mean residual life model and its implications. (English) Zbl 0916.62064

Summary: The proportional mean residual life (PMRL) model and its implications are studied. Its relation with the proportional hazard model is explored. Some results concerning ageing properties in reliability are investigated for the PMRL model and conditions under which these classes remain closed are examined. Finally, bounds on the residual moments and residual variance are obtained and some examples are furnished.

MSC:

62N05 Reliability and life testing
62P10 Applications of statistics to biology and medical sciences; meta analysis
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