A mixture model of size-biased distributions

Kayid, Mohamed; Izadkhah, S.; Jarrahiferiz, Jalil; Asghari, Petros

doi:10.1007/s00184-015-0565-5

Cited by 2 publications

(1 citation statement)

References 16 publications

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“…The study is carried out in two different settings, where firstly the random parameter varies in distribution while the underlying distribution remains unchanged and secondly the underlying distribution is changed in the case when the random parameter is fixed in distribution. The results obtained by Kayid et al [ 32 ] are developed to entertain more dynamic weighted distributions.…”

Section: Stochastic Orderingsmentioning

confidence: 99%

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Al-Babtain

Shrahili

Alshehri

et al. 2020

Entropy

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In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or the underlying random variable is specifically investigated. Special weighted distributions are considered to scrutinize the consistency as well as the usefulness of the results. Stochastic comparisons of coherent systems made of identical but dependent components are made and also a result for comparison of Shannon entropies of weighted distributions is developed.

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Section: Stochastic Orderingsmentioning

confidence: 99%

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Al-Babtain

Shrahili

Alshehri

et al. 2020

Entropy

Self Cite

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Copulas generated by mixtures of weighted distributions

Alshehri

Kayid

2022

MATH

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<abstract><p>In this paper, we characterize several partial dependencies in a general mixture model of weighted distributions with a parametric weight function that encompasses many well-known frailty models. There are well-known frailty models in survival analysis satisfying the proposed mixture model which are used to examine the results. The mixture-based copula functions associated with the mixture model are characterized. Examples are given to draw the copula functions out from respected mixture models.</p></abstract>

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A mixture model of size-biased distributions

Cited by 2 publications

References 16 publications

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Stochastic Comparisons of Weighted Distributions and Their Mixtures

Copulas generated by mixtures of weighted distributions

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