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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Cilt: 45 - Sayı: 2

A new Weibull-G family of distributions

Gauss M. Cordeiro
M. Mansoor
M. Zubair
Morad Alizadehk
G. G. Hamedani
M.H.Tahir
Sayfa
629–647
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We illustrate the importance of the family by means of two applications to real data sets.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Statistical analysis of lifetime data is an important topic in reliability engineering, biomedical and social sciences and others.
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Temel Bulgular & Veri:Its density function can be symmetrical, left-skewed, right-skewed, bathtub and reversed-J shaped, and has increasing, decreasing, bathtub, upside-down bathtub, J, reversed-J and S shaped hazard rates.
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Sonuç & Katkı:We illustrate the importance of the family by means of two applications to real data sets.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generating function · hazard function · moment

Abstract

Statistical analysis of lifetime data is an important topic in reliability engineering, biomedical and social sciences and others. We introduce a new generator based on the Weibull random variable called the new Weibull-G family. We study some of its mathematical properties. Its density function can be symmetrical, left-skewed, right-skewed, bathtub and reversed-J shaped, and has increasing, decreasing, bathtub, upside-down bathtub, J, reversed-J and S shaped hazard rates. Some special models are presented. We obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Rényi entropy, order statistics and reliability. Three useful characterizations based on truncated moments are also proposed for the new family. The method of maximum likelihood is used to estimate the model parameters. We illustrate the importance of the family by means of two applications to real data sets.

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Bu Makaleye Atıf Yap

Cordeiro, G. M., Mansoor, M., Zubair, M., Alizadehk, M., Hamedani, G. G., M.H.Tahir, M. (2022). A new Weibull-G family of distributions. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 629–647. https://ajindex.com/articles/530100

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