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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

Bayesian estimation of Rayleigh distribution in the presence of outliers using progressive censoring

Farzana Noor(International Islamic University)0000-0002-4135-0846
Ahthasham Sajid(Baluchistan University of Information Technology Engineering and Management Sciences)0000-0002-2829-0893
Maha Ghazal(International Islamic University)
İmranullah Khan(Harbin Engineering University)0000-0002-3268-4844
Mehwish Zaman(International Islamic University)0000-0002-4105-9477
İmran Baig(Dhofar University)0000-0002-3142-6958
Sayfa
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Yayın Tarihi
2020-12-08
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Applicability of the undertaken study is highlighted using three real data sets.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, Maximum likelihood estimation (MLE) and Bayesian estimation for Rayleigh distribution using progressive type-II censoring in the presence of outliers is considered.
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Temel Bulgular & Veri:Inverse Gamma prior and Jeffreys prior are used for Bayesian estimation.
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Sonuç & Katkı:Applicability of the undertaken study is highlighted using three real data sets.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Rayleigh distribution · outliers · progressive type-II censoring

Abstract

In this article, Maximum likelihood estimation (MLE) and Bayesian estimation for Rayleigh distribution using progressive type-II censoring in the presence of outliers is considered. Inverse Gamma prior and Jeffreys prior are used for Bayesian estimation. Squared error loss function (SELF), precautionary loss function (PLF) and K-loss function (KLF) are used for obtaining the expressions of Bayes estimators and posterior risks. Credible intervals are also derived. A simulation study is presented to discuss the behavior of Bayes estimators. Applicability of the undertaken study is highlighted using three real data sets.

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Bu Makaleye Atıf Yap

Noor, F., Sajid, A., Ghazal, M., Khan, İ., Zaman, M., Baig, İ. (2020). Bayesian estimation of Rayleigh distribution in the presence of outliers using progressive censoring. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.635684

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