Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 5

Comparison of improved class of priors for the analysis of the Burr type VII model under doubly censored samples

Sayfa
1509–1533
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The performance of various estimators has been compared under a simulation study along with a real life example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In recent years, the finite mixture lifetime models have frequently been used in chemical, physical, social science, biological and other fields due to their methodological development and practical applications.
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Temel Bulgular & Veri:The Bayesian analysis of the mixture models has also developed a significant interest among the statisticians especially in the last decade.
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Sonuç & Katkı:The performance of various estimators has been compared under a simulation study along with a real life example.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mixture models · posterior distributions · loss functions

Abstract

In recent years, the finite mixture lifetime models have frequently been used in chemical, physical, social science, biological and other fields due to their methodological development and practical applications. The Bayesian analysis of the mixture models has also developed a significant interest among the statisticians especially in the last decade. However, the most of these contributions are limited to the Bayes estimation for the parameters of lifetime models under singly type I censoring. This paper discusses the Bayesian estimation for the two-component mixture of the lifetime models under doubly censored samples with a particular case for the Burr type VII model. A class of improved priors has been proposed for the posterior estimation. The likelihood function, for doubly censored samples using two-component mixture of life time distributions, has been introduced. The hazard rate function for the mixture model has been compared for different parametric values. The performance of various estimators has been compared under a simulation study along with a real life example.

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Bu Makaleye Atıf Yap

Feroze, N., Aslam, M. (2022). Comparison of improved class of priors for the analysis of the Burr type VII model under doubly censored samples. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 5, 1509–1533. https://ajindex.com/articles/529541

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