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Relations for reliability measures of weighted distributions. (English) Zbl 0707.62197
Summary: Reliability measures of weighted distribution of a life distribution have been derived. Sufficient conditions on the weight function have been obtained for the weighted distribution of an IFR distribution to be IFR. Length-biased and equilibrium distributions have been discussed as weighted distributions in the reliability context.

62N05 Reliability and life testing
62E10 Characterization and structure theory of statistical distributions
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[1] Barlow R.E., Statistical Theory of Reliability and Life Testing. Holt (1975) · Zbl 0379.62080
[2] DOI: 10.2307/1266418
[3] DOI: 10.2307/2286084
[4] DOI: 10.1287/moor.6.1.113 · Zbl 0496.90041
[5] Oox D.R., Renewal Theory (1962)
[6] DOI: 10.2307/3214012 · Zbl 0612.60072
[7] Gupta R.C., Scand. J. Statist 13 pp 49– (1985)
[8] DOI: 10.1002/nav.3800310212 · Zbl 0538.90027
[9] DOI: 10.1287/opre.32.3.660 · Zbl 0554.62083
[10] Patil G.P., Sankhya B 38 pp 48– (1976)
[11] Patil G.P., In Applications of Statistics pp 383– (1977)
[12] DOI: 10.2307/2530008 · Zbl 0384.62014
[13] Rao C.R., The ISI Centenary Volume pp 543– (1965)
[14] Ross S., Stochastic Processes (1983)
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