Geodesic
On preservation under univariate weighted distributions
Applications of Mathematics, Tome 60 (2015) no. 4, pp. 453-467.

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We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.
DOI : 10.1007/s10492-015-0105-7
Classification : 60E05, 60E15, 62N05
Keywords: weighted distribution; preservation; stochastic ordering; aging classes 
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Izadkhah, Salman; Amini, Mohammad; Mohtashami Borzadaran, Gholam Reza. On preservation under univariate weighted distributions. Applications of Mathematics, Tome 60 (2015) no. 4, pp. 453-467. doi : 10.1007/s10492-015-0105-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-015-0105-7/

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