Marshall–Olkin extended weibull distribution and its application to censored data

On the Bias of the Maximum Likelihood Estimators of Parameters of the Weibull Distribution

“…It was used in breakdown voltage estimation by Hirose [9], and Fabiani [10] used it to test electrical breakdown of insulating materials. It was applied to censored data by Ghitany et al [11]. In the study of wind energy, the Weibull distribution was also applied by Akdaǧ et al [12].…”

Bayesian Estimation of the Scale Parameter of the Marshall-Olkin Exponential Distribution under Progressively Type-II Censored Samples

“…(1.3) and (1.4) then the MOE distribution reduces to the standard exponential distribution, and when = 2; the MOE distribution reduces to the half logistic distribution. The hazard rate h(x) for the MOE distribution, is given by h(x) = 1 1 (1 ) e x ; x 0; > 0: [6] showed that when 1 then the hazard rate h(x) is increasing and if 0 < < 1; h(x) is decreasing. So the family of MOE distributions is an increasing failure rate (IFR) family when 1 and a decreasing failure rate (DFR) family when 0 < < 1: For more details see [10] and [12].…”

The Topp-Leone Generated Weibull Distribution: Regression Model, Characterizations and Applications

“…Some generalization of the Weibull distribution studied in the literature includes, but are not limited to, exponentiated Weibull (Mudholkar & Srivastava, 1993;Mudholkar, Srivastava, & Freimer, 1995;Mudholkar, Srivastava, & Kollia, 1996), additive Weibull (Xie & Lai, 1995), Marshall-Olkin extended Weibull (Ghitany, Al-Hussaini, & Al-Jarallah, 2005), beta Weibull (Famoye, Lee, & Olumolade, 2005), modified Weibull (Sarhan & Zaindin, 2009), beta modified Weibull (Silva, Ortega, & Cordeiro, 2010), transmuted Weibull (Aryal & Tsokos, 2011), extended Weibull (Xie, Tang, & Goh, 2002), modified Weibull (Lai, Xie, & Murthy, 2003), Kumaraswamy Weibull (Cordeiro, Ortega, & Nadarajah, 2010), Kumaraswamy modified Weibull (Cordeiro, Ortega, & Silva, 2012), Kumaraswamy inverse Weibull (Shahbaz, Shazbaz, & Butt, 2012), exponentiated generalized Weibull (Cordeiro, Ortega, & Cunha 2013), McDonald modified Weibull (Merovci & Elbatal, 2013), beta inverse Weibull (Hanook, Shahbaz, Mohsin,& Kibria, 2013), transmuted exponentiated generalized Weibull , McDonald Weibull (Cordeiro, Hashimoto, & Ortega, 2014), gamma Weibull (Provost, Saboor, & Ahmad, 2011), transmuted modified Weibull (Khan & King, 2013), beta Weibull (Lee, Famoye, & Olumolade, 2007), generalized transmuted Weibull (Nofal, Afify, Yousof, & Cordeiro, 2015), transmuted additive Weibull (Elbatal & Aryal, 2013), exponentiated generalized modified Weibull (Aryal & Elbatl, 2015), transmuted exponentiated additive Weibull , Marshall Olkin additive Weibull (Afify, Cordeiro, Yousof, Saboor, & Ortega, 2016) and Kumaraswamy transmuted exponentiated additive Weibull (Nofal, Afify, Yousof, Granzotto,& Louzada, 2016) distributions.…”