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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.

MSC:
62N05 Reliability and life testing
62E10 Characterization and structure theory of statistical distributions
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