On length biased dynamic measure of past inaccuracy.

*(English)*Zbl 1241.62014Summary: 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 |

##### Keywords:

entropy; past entropy; weighted distribution; length biased inaccuracy; proportional reversed hazard model
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\textit{V. Kumar} and \textit{H. C. Taneja}, Metrika 75, No. 1, 73--84 (2012; Zbl 1241.62014)

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