A new family of distributions called Kumaraswamy-generalized power Weibull (Kgpw) distribution is proposed and studied. This family has a number of well known sub-models such as Weibull, exponentiated Weibull, Kumaraswamy Weibull, generalized power Kumaraswamy alpha power Weibull distribution which has right-skewed, left-skewed, symmetrical, and reversed-J shaped den sities, and decreasing, increasing, bath tub, upside-down bathtub The Kumaraswamy Generalized Power Weibull Distribution In this section, we introduce the pdf and the cdf of Kgpw distribution by setting the gpw baseline functions (1) and (2) in Equations (5) and (6), then the cdf and pdf of the Kgpw distribution are obtained as Kumaraswamy Weibull-generated Family of Distributions … 207 continuous random variable T.In this new class, the distribution of the random variable T is the generator and the upper limit is the transformation W() ()G()x =−log[]1 −G x.This generated family of distributions is called of the model parameters. Several properties of a special model viz. new Kumaraswamy Weibull (NKwW) distribution are discussed in Section4. A simulation study is also conducted to assess the performance of maximum likelihood estimators of the newly proposed model in this section.)) a))) a investigate the properties of one special model called a new Kumaraswamy-Weibull (NKwW) distribution. Parameter estimation is dealt and maximum likelihood estimators are assessed through simulation study. Two real life data sets are analyzed to illustrate the importance and flexibility of this distribution. In this paper we have proposed a new four parameter Inverse Weibull distribution that is based upon the cumulative distribution function of Kumaraswamy (1980) distribution. For the first time, we introduce and study some mathematical properties of the Kumaraswamy Weibull distribution that is a quite flexible model in analyzing positive data. It contains as special sub-models the exponentiated Weibull, exponentiated Rayleigh, exponentiated exponential, Weibull and also the new Kumaraswamy exponential distribution. The Kumaraswamy Exponential{Weibull Distribution: Theory and Applications Gauss M. Cordeiro y, Abdus Saboor , Muhammad Nauman Khanz, Gamze Ozelxand Marcelino A.R. Pascoa{ Abstract Signi cant progress has been made towards the generalization of some T1 - The Kumaraswamy Weibull distribution with application to failure data. AU - Cordeiro, G. M. AU - Ortega, E. M. M. AU - Nadarajah, S. N1 - 56 citations so far (Google Scholar) PY - 2010. Y1 - 2010. M3 - Article. VL - 347. SP - 1399. EP - 1429. JO - Journal of the Franklin Institute. JF - Journal of the Franklin Institute. SN - 0016-0032. IS
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