2010
DOI: 10.1016/j.jfranklin.2010.06.010
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The Kumaraswamy Weibull distribution with application to failure data

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Cited by 318 publications
(204 citation statements)
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“…Cordeiro et al (2010) used Kolmogrov Smirnov goodness of fit test and data points representing failure time. The data was extracted from Murthy et al (2004).…”
Section: Applicationmentioning
confidence: 99%
See 1 more Smart Citation
“…Cordeiro et al (2010) used Kolmogrov Smirnov goodness of fit test and data points representing failure time. The data was extracted from Murthy et al (2004).…”
Section: Applicationmentioning
confidence: 99%
“…Kumaraswamy distribution (Kum distribution) is applicable to many natural phenomena with the outcomes that have upper and lower bounds such as scores obtained in a test, heights of individuals, hydrological data and atmospheric temperatures. A composition between Kum distribution and any distribution can be constructed (See Cordeiro et al (2010)). …”
Section: Introductionmentioning
confidence: 99%
“…Using expansion (11) to Equation (9), then the cdf function of the new transmuted modified Weibull distribution can be written as…”
Section: Expansion For the Cdf Functionmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%