On Some Properties of $$\alpha $$-Mixtures

Shojaee, Omid; Asadi, Majid; Finkelstein, Maxim

doi:10.1007/s00184-021-00818-1

Cited by 7 publications

(2 citation statements)

References 26 publications

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“…( 2)). For this special case, we refer to Asadi et al [3] for Theorems 3.1 and 3.2 and Lemma 3.2; for results given in Sections 3,4,5,etc., we refer to Shojaee et al [28] and for results given in Section 6, we refer to Barmalzan et al [8].…”

Section: Hazard Rate Ordermentioning

confidence: 99%

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Stochastic properties of generalized finite α-mixtures

Shojaee¹,

Asadi²,

Finkelstein

2021

Prob. Eng. Inf. Sci.

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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.

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Section: Hazard Rate Ordermentioning

confidence: 99%

“…They, also, have shown that this closure property holds for DFRA (IFRA) distributions for (). Shojaee et al [28] have considered the -mixture model and provided a new interpretation for the -mixture model via the multiplicative–additive hazard transform.…”

Section: Introductionmentioning

confidence: 99%