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On preservation under univariate weighted distributions

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Abstract

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.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, 91779, Iran

    Salman Izadkhah

  2. Department of Statistics and Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, 91779, Iran

    Mohammad Amini & Gholam Reza Mohtashami Borzadaran

Authors
  1. Salman Izadkhah
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  2. Mohammad Amini
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  3. Gholam Reza Mohtashami Borzadaran
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Correspondence to Salman Izadkhah.

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Izadkhah, S., Amini, M. & Borzadaran, G.R.M. On preservation under univariate weighted distributions. Appl Math 60, 453–467 (2015). https://doi.org/10.1007/s10492-015-0105-7

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  • DOI: https://doi.org/10.1007/s10492-015-0105-7

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