Most mathematical examples illustrate the truth of a statement; conversely, counterexamples
demonstrate a statement's falsity if changing the conditions. Mathematicians have always …

Reliability theory has taken rapid strides in the last four decades to become an independent
discipline that influences our daily lives and schedules through our dependence on good …

Abstract Recently, Psarrakos and Navarro (2013) proposed a new measure of uncertainty
which extends the cumulative residual entropy (CRE), called the generalized cumulative …

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Let X and Xτ denote the lifetime and the residual life at age τ of a system, respectively. X is
said to be a NBUL random variable if Xτ is smaller than X in Laplace order, ie, Xτ≤ L X. We …

This paper first recalls some stochastic orderings useful for studying the ℒ-class and the
Laplace order in general. We use these orders to show that the higher moments of an ℒ …

Since Klefsjö (1983) defined and investigated the L-class of life distributions, this class has
attracted a great deal of attention. In this paper, we first clarify the existing characterizations …

The book deals with the application of various measures of information like the entropy,
divergence, inaccuracy, etc. in modelling lifetimes of devices or equipment in reliability …

This paper studies the M/G/1 processor-sharing (PS) queue, in particular the sojourn time
distribution conditioned on the initial job size. Although several expressions for the Laplace …

This paper studies two classes of tests for exponentiality against the nonparametric class L
of life distributions introduced by Klefsjö (1983a). The test statistics are integrals of the …