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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 3

The power-linear hazard rate distribution andestimation of its parameters under progressivelytype-II censoring

Bahman TARVİRDİZADE
Nader NEMATOLLAHİ
Sayfa
818–844
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, aMonte Carlo simulation study is conducted to investigate and comparethe performance of different types of estimators presented in this paper.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce a class of distributions which generalizesthe power hazard rate distribution and is obtained by combining thelinear and power hazard rate functions.
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Temel Bulgular & Veri:This class of distributions,which is called the power-linear hazard rate distribution, is simpleand flexible and contains some important lifetime distributions.
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Sonuç & Katkı:Finally, aMonte Carlo simulation study is conducted to investigate and comparethe performance of different types of estimators presented in this paper.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we introduce a class of distributions which generalizesthe power hazard rate distribution and is obtained by combining thelinear and power hazard rate functions. This class of distributions,which is called the power-linear hazard rate distribution, is simpleand flexible and contains some important lifetime distributions. Themaximum likelihood estimators of the parameters using the Newton-Raphson (NR) and the expectation-maximization (EM) algorithms andthe Bayes estimators of the parameters under squared error loss (SEL),linear-exponential (LINEX) and Stein loss functions are obtained basedon progressively type-II censored sample. Also, we obtain the asymp-totic confidence interval and some bootstrap confidence intervals andconstruct the HPD credible interval for the parameters. A real data setis analyzed and observed that the present hazard rate distribution canprovide a better fit than other three-parameter distributions. Finally, aMonte Carlo simulation study is conducted to investigate and comparethe performance of different types of estimators presented in this paper.

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Bu Makaleye Atıf Yap

TARVİRDİZADE, B., NEMATOLLAHİ, N. (2022). The power-linear hazard rate distribution andestimation of its parameters under progressivelytype-II censoring. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 3, 818–844. https://ajindex.com/articles/520236

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