A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA

Ceren ÜNAL, (Hacettepe Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Ankara, Türkiye)
Gamze ÖZEL (Hacettepe Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Ankara, Türkiye)
Mugla Journal of Science and Technology
1 0
Yıl: 2022 Cilt: 8 Sayı: 2 Sayfa Aralığı: 9 - 15 Metin Dili: İngilizce DOI: 10.22531/muglajsci.1128319 İndeks Tarihi: 30-12-2022

A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA

Öz:
In literature, Alzaatreh et al. [10] proposed the generalized Weibull-X family of distribution in their study. Based on this study, we introduce a new Weibull-Lindley (NWL) distribution in this study. The pdf (probability density function), distribution, survival functions, hazard rate and cumulative hazard functions are derived and investigated. Besides, many mathematical properties including mode, quantile function, median, Shannon entropy, skewness, kurtosis, and order statistics are also derived. According to the maximum likelihood method, the estimation of parameters is done. In application part, we use real data sets. According to results, our proposed NWL distribution is superior comparison with the Akash, Lindley, New Weibull-F, two-parameter Lindley (TPL), and Weibull-Lindley (WL) distributions.
Anahtar Kelime:

YAŞAM VERİLERİNİN MODELLENMESİ İÇİN YENİ WEIBULL-LINDLEY DAĞILIMI

Öz:
Literatürde Alzaatreh ve diğerleri [10] çalışmalarında genelleştirilmiş Weibull-X dağılım ailesini önermişlerdir. Önerilen dağılımdan yararlanarak, bu çalışmada yeni bir Weibull-Lindley (NWL) dağılımı geliştirilmiştir. Olasılık yoğunluk, dağılım, yaşam, hazard ve kantil fonksiyonları, mod, medyan, Shannon entropisi, çarpıklık ve basıklık katsayıları, sıralı istatistikleri gibi birçok matematiksel özellik de elde edilmiştir. Maksimum olabilirlik yöntemine göre parametre tahmini yapılmıştır. Uygulama kısmında gerçek veri setlerini kullanılmış ve önerilen NWL dağılımımız Akash, Lindley, New Weibull-F, iki parametreli Lindley (TPL) ve Weibull-Lindley (WL) dağılımları ile karşılaştırıldığında daha iyi sonuçların elde edildiği görülmüştür.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Unal C, Ozel G (2022). A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. , 9 - 15. 10.22531/muglajsci.1128319
Chicago Unal Ceren,Ozel Gamze A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. (2022): 9 - 15. 10.22531/muglajsci.1128319
MLA Unal Ceren,Ozel Gamze A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. , 2022, ss.9 - 15. 10.22531/muglajsci.1128319
AMA Unal C,Ozel G A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. . 2022; 9 - 15. 10.22531/muglajsci.1128319
Vancouver Unal C,Ozel G A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. . 2022; 9 - 15. 10.22531/muglajsci.1128319
IEEE Unal C,Ozel G "A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA." , ss.9 - 15, 2022. 10.22531/muglajsci.1128319
ISNAD Unal, Ceren - Ozel, Gamze. "A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA". (2022), 9-15. https://doi.org/10.22531/muglajsci.1128319
APA Unal C, Ozel G (2022). A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. Mugla Journal of Science and Technology, 8(2), 9 - 15. 10.22531/muglajsci.1128319
Chicago Unal Ceren,Ozel Gamze A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. Mugla Journal of Science and Technology 8, no.2 (2022): 9 - 15. 10.22531/muglajsci.1128319
MLA Unal Ceren,Ozel Gamze A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. Mugla Journal of Science and Technology, vol.8, no.2, 2022, ss.9 - 15. 10.22531/muglajsci.1128319
AMA Unal C,Ozel G A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. Mugla Journal of Science and Technology. 2022; 8(2): 9 - 15. 10.22531/muglajsci.1128319
Vancouver Unal C,Ozel G A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA. Mugla Journal of Science and Technology. 2022; 8(2): 9 - 15. 10.22531/muglajsci.1128319
IEEE Unal C,Ozel G "A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA." Mugla Journal of Science and Technology, 8, ss.9 - 15, 2022. 10.22531/muglajsci.1128319
ISNAD Unal, Ceren - Ozel, Gamze. "A NEW WEIBULL-LINDLEY DISTRIBUTION IN MODELLING LIFETIME DATA". Mugla Journal of Science and Technology 8/2 (2022), 9-15. https://doi.org/10.22531/muglajsci.1128319
Sayfa Oluşturulma Tarihi
24-04-2024 5:7

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