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Preservation properties for the Laplace transform ordering of residual lives
Journal article   Peer reviewed

Preservation properties for the Laplace transform ordering of residual lives

Hadi Ahmed and Mohamed Kayid
Statistical papers (Berlin, Germany), Vol.45(4), pp.583-590
01/10/2004
DOI: https://doi.org/10.1007/BF02760570

Abstract

Laplace transforms Mathematical analysis Statistics Studies
Several preservation results for the Laplace transform ordering of residual lives (Lt - rl) are given. In particular, we show that the Lt - rl-order is preserved under convolutions, mixtures and weak convergence. Some examples of interest in reliability theory are also presented. [PUBLICATION ABSTRACT]

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