Stochastic properties of generalized finite -mixtures

Shojaee, Omid and Asadi, Majid and Finkelstein, Maxim (2022) Stochastic properties of generalized finite -mixtures. Probability in the Engineering and Informational Sciences, 36 (4). 1055 - 1079. (https://doi.org/10.1017/S0269964821000243)

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Abstract

Most of the real-life populations are heterogeneous and homogeneity is often just a simplifying assumption for the relevant statistical analysis. Mixtures of lifetime distributions that correspond to homogeneous subpopulations were intensively studied in the literature. Various distributional and stochastic properties of finite and continuous mixtures were discussed. In this paper, following recent publications, we develop further a mixture concept in the form of the generalized α-mixtures that include all mixture models that are widely explored in the literature. We study some main stochastic properties of the suggested mixture model, that is, aging and appropriate stochastic comparisons. Some relevant examples and counterexamples are given to illustrate our findings.

  • Item type:Article
    ID code:79140
    Dates:
    Date
    Event
    October 2022
    Published
    15 July 2021
    Published Online
    21 June 2021
    Accepted
    Subjects:Science > Mathematics
    Department:Strathclyde Business School > Management Science
    Depositing user: Pure Administrator
    Date deposited:14 Jan 2022 11:27
    Last modified:11 Nov 2024 13:20
    URI:https://strathprints.strath.ac.uk/id/eprint/79140
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