A dynamic measure of inaccuracy between two past lifetime distributions.

*(English)*Zbl 1216.62156Summary: We introduce a dynamic measure of inaccuracy between two past life time distributions over the interval \((0,t)\). Based on the proportional reversed hazard rate model (PRHRM), a characterization problem for this dynamic inaccuracy measure has been studied. An upper bound to the dynamic measure of inaccuracy \(H^*(f,g;t)\) has also been derived.

##### MSC:

62N05 | Reliability and life testing |

62E10 | Characterization and structure theory of statistical distributions |

62B10 | Statistical aspects of information-theoretic topics |

##### Keywords:

Kerridge inaccuracy; past entropy; measure of discrimination; reversed hazard rate function; proportional reversed hazards model
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##### References:

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