A note on two preservation properties of homogeneous Poisson shock models
type: Item
instance of: scholarly article
title: A note on two preservation properties of homogeneous Poisson shock models
zbMATH Open document ID: 1013.60500
author: Mini N. Balu
author: S. V. Sabnis
published in: Metron
publication date: 2002-07-28T00:00:00Z
review text: Given the probability density \(p\) for some device to survive the first \(k\) shocks and that shocks arrive in a Poisson stream. Then it is proved by direct computations that if \(p\) is unimodal about 0, i.e. nonincreasing, then the survival density of the device has this property as well. Under an additional restriction the order of mode, median, and mode of \(p\) is preserved by the mixing via the shock model representation.
reviewed by: Hans Daduna
Mathematics Subject Classification ID: 60E99
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 1772377
zbMATH Keywords: mode
zbMATH Keywords: median
zbMATH Keywords: preservation
zbMATH Keywords: survival probability
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1772377