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YAŞAM VERİLERİNİN MODELLENMESİ İÇİN YENİ WEIBULL-LINDLEY DAĞILIMI
2022
Journal:  
Mugla Journal of Science and Technology
Author:  
Abstract:

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 elde edilen sonuçlara göre, önerilen NWL dağılımımız Akash, Lindley, New Weibull-F, iki parametreli Lindley (TPL) ve Weibull-Lindley (WL) dağılımları ile karşılaştırıldığında daha üstün olduğu sonucuna ulaşılmıştır.

Keywords:

New WEIBULL-LINDLEY Distribution for Modeling Life Data
2022
Author:  
Abstract:

In literature, Alzaatreh and others [10] recommended the generalized Weibull-X distribution family in their studies. Using the recommended distribution, a new Weibull-Lindley (NWL) distribution has been developed in this study. Probability intensity, distribution, life, hazard and cantile functions, mode, median, Shannon entropy, disruption and pressure ratio, ordered statistics, and many mathematical characteristics have also been obtained. The maximum parameter is estimated according to the method. The real data sets used in the application section and our recommended NWL distribution has been shown to have better results compared to the Akash, Lindley, New Weibull-F, two-parameter Lindley (TPL) and Weibull-Lindley (WL) distribution.

Keywords:

A New Weibull-lindley Distribution In Modelling Lifetime Data
2022
Author:  
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Mugla Journal of Science and Technology

Field :   Fen Bilimleri ve Matematik; Mühendislik

Journal Type :   Ulusal

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Article : 301
Cite : 174
2023 Impact : 0.05
Mugla Journal of Science and Technology