The Weibull-Lomax distribution: properties and applications

M.H. TAHIR, (Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan.)
Gauss M. CORDEİRO, (Department of Statistics, Federal University of Pernambuco, 50740-540, Recife, PE, Brazil.)
M. MANSOOR, (Punjab College, 26-C Shabbir Shaheed Road, Model Town-A, Bahawalpur, Pakistan.)
M. ZUBAİR (Government Degree College Kahrorpacca, Lodhran, Pakistan)
Hacettepe Journal of Mathematics and Statistics
4 0
Yıl: 2015 Cilt: 44 Sayı: 2 Sayfa Aralığı: 455 - 474 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

The Weibull-Lomax distribution: properties and applications

Öz:
We introduce a new model called the Weibull-Lomax distribution which extends the Lomax distribution and has increasing and decreasing shapes for the hazard rate function. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete moments, Bonferroni and Lorenz curves, mean deviations, mean residual life, mean waiting time, probability weighted moments, generating and quantile function. The Rényi and q entropies are also obtained. We provide the density function of the order statistics and their moments. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. The potentiality of the new model is illustrated by means of two real life data sets. For these data, the new model outperforms the McDonald-Lomax, Kumaraswamy-Lomax, gamma-Lomax, beta-Lomax, exponentiated Lomax and Lomax models.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA TAHIR M, Cordeiro G, MANSOOR M, ZUBAİR M (2015). The Weibull-Lomax distribution: properties and applications. , 455 - 474.
Chicago TAHIR M.H.,Cordeiro Gauss,MANSOOR M.,ZUBAİR M. The Weibull-Lomax distribution: properties and applications. (2015): 455 - 474.
MLA TAHIR M.H.,Cordeiro Gauss,MANSOOR M.,ZUBAİR M. The Weibull-Lomax distribution: properties and applications. , 2015, ss.455 - 474.
AMA TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M The Weibull-Lomax distribution: properties and applications. . 2015; 455 - 474.
Vancouver TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M The Weibull-Lomax distribution: properties and applications. . 2015; 455 - 474.
IEEE TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M "The Weibull-Lomax distribution: properties and applications." , ss.455 - 474, 2015.
ISNAD TAHIR, M.H. vd. "The Weibull-Lomax distribution: properties and applications". (2015), 455-474.
APA TAHIR M, Cordeiro G, MANSOOR M, ZUBAİR M (2015). The Weibull-Lomax distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, 44(2), 455 - 474.
Chicago TAHIR M.H.,Cordeiro Gauss,MANSOOR M.,ZUBAİR M. The Weibull-Lomax distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics 44, no.2 (2015): 455 - 474.
MLA TAHIR M.H.,Cordeiro Gauss,MANSOOR M.,ZUBAİR M. The Weibull-Lomax distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, vol.44, no.2, 2015, ss.455 - 474.
AMA TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M The Weibull-Lomax distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics. 2015; 44(2): 455 - 474.
Vancouver TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M The Weibull-Lomax distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics. 2015; 44(2): 455 - 474.
IEEE TAHIR M,Cordeiro G,MANSOOR M,ZUBAİR M "The Weibull-Lomax distribution: properties and applications." Hacettepe Journal of Mathematics and Statistics, 44, ss.455 - 474, 2015.
ISNAD TAHIR, M.H. vd. "The Weibull-Lomax distribution: properties and applications". Hacettepe Journal of Mathematics and Statistics 44/2 (2015), 455-474.
Sayfa Oluşturulma Tarihi
16-05-2024 11:43

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