期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2016
卷号：XIII
页码：465-479
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：Harris family of distributions models lifetime of a series system whenthe number of components is a positive random variable. In this paper, we revealseveral stochastic comparisons in the Harris family with different tilt parametersand different baseline distributions with respect to the usual stochastic, shifted stochastic,proportional stochastic and shifted proportional stochastic orderings. Suchcomparisons are particularly useful in lifetime optimization of reliability systems.We shall also present two bounds for a Harris family survival function conditionedon its tilt parameter which are useful when aging properties are considered. Ourresults generalize several previous findings in this connection.
