A new family of the continuous distributions: The extended weibull-g family
AuthorKorkmaz, Mustafa Çağatay
MetadataShow full item record
CitationKorkmaz, M. Ç. (2019). A new family of the continuous distributions: The extended Weibull-G family. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 248-270.
In this study, we present a new family of continuous distributions via an extended form of the Weibull distribution. Some special members of the newly de.ned family are discussed and the new univariate continuous distributions are introduced. The mathematical properties are obtained for any members of the family such as expansions of the density, hazard rate function, quantile function, moments and order statistics. We obtain the distribution parameters by maximum likelihood method. The simulation study to evaluate the performance of the estimated parameters based on the selected member of the this new family is also given. The lifetime data example is discussed to illustrate the applicability of the distribution.
SourceCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Showing items related by title, author, creator and subject.
Korkmaz, Mustafa Çağatay; Cordeiro, Gauss M.; Yousof, Haitham M.; Pescim, Rodrigo R.; Afify, Ahmed Z.; Nadarajah, Saralee (Taylor & Francis Inc, 2019)We introduce a new class of distributions called the Weibull Marshall-Olkin-G family. We obtain some of its mathematical properties. The special models of this family provide bathtub-shaped, decreasing-increasing, ...
A new family of distributions called the exponential Lindley odd log-logistic G family is introduced and studied. The new generator generalizes three newly defined G families and also defines two new G families We provide ...
Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data Inference for the system reliability R is one of the most popular problems in the areas of engineering, statistics, biostatistics and etc. Therefore, there exist considerable numbers of studies concerning this problem. ...