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On length biased dynamic measure of past inaccuracy. (English) Zbl 1241.62014
Summary: In this communication we introduce a length biased past inaccuracy measure between two past life time distributions over the interval \((0,\,t)\). Based on the proportional reversed hazard model the characterization problem for the length biased inaccuracy measure has been studied. An upper bound to the weighted past inaccuracy measure has also been derived, which reduces to the upper bound obtained in case of weighted past entropy.

MSC:
62E10 Characterization and structure theory of statistical distributions
62B10 Statistical aspects of information-theoretic topics
62N99 Survival analysis and censored data
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