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This paper is devoted to the statistical problem of ranking and selection populations by using the subset selection formulation. The interest is focused (i) on the selection of the best population among k independent populations and (ii) on the selection of the best population, which is closest to an additional standard or control population. With respect to the first problem the populations are ranked...
Sharp lower and upper bounds on expected values of generalized order statistics are proven by the use of Morigutis inequality combined with the Young inequality. The bounds are expressed in terms of exponential moments or entropy. They are attainable providing new characterizations of some nontrivial distributions.
. A wide selection of classical and recent tests for exponentiality are discussed and compared. The classical procedures include the statistics of Kolmogorov-Smirnov and Cramér-von Mises, a statistic based on spacings, and a method involving the score function. Among the most recent approaches emphasized are methods based on the empirical Laplace transform and the empirical characteristic function,...
In the present communication we introduce a length biased past inaccuracy measure between two past lifetime distributions over the interval (0, t). Based on proportional reversed hazard model 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...
A supersaturated design is a factorial design in which the number of effects to be estimated is greater than the number of runs. It is used in many experiments, for screening purpose, i.e., for studying a large number of factors and identifying the active ones. In this paper, we propose a method for screening out the important factors from a large set of potentially active variables through the symmetrical...
The representation of the entropy in terms of the hazard function and its extensions have been studied by many authors including Teitler et al. (IEEE Trans Reliab 35:391–395, 1986). In this paper, we consider a representation of the Kullback–Leibler information of the first $$r$$ r order statistics in terms of the relative risk (Park and Shin in Statistics, 2012), the ratio of hazard functions,...
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