Characterizing Discrete Life Distributions by Properties of Reversed Variance Residual life

Deemat C. Mathew and M. I. Beg

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 13, 2753-2763

Abstract: The present article discusses the characterization of non negative integer-valued random variable using reversed variance residual life. A special attention is given to the characterizations by relationship between conditional variance and the reversed failure rate. A lower bound to the conditional variance is also established. Our bound is compared to the Cramer-Rao and Chapman-Robbins lower bounds so that construction of minimum variance unbiased estimators of relevant parametric functions in truncated distributions can be possible.

Date: 2015
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DOI: 10.1080/03610926.2013.791369

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