Title of article :
Odd power generalized Weibull-G family of distributions: Model, properties and applications
Author/Authors :
Moakofi, Thatayaone Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Oluyede, Broderick Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Chipepa, Fastel Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW , Makubate, Boikanyo Department of Mathematics and Statistical Sciences - BIUST - Palapye, BW
Abstract :
A new generalized family of distributions called the odd power generalized
Weibull-G family of distributions is developed. Some properties of the new family of distributions
including quantile function, moments, incomplete and probability weighted
moments, distribution of the order statistics and Rényi entropy are derived. Estimation
of model parameters using maximum likelihood estimation technique and simulation
study to examine the bias and mean square error are discussed. Applications to real
data sets to illustrate the applicability of the generalized family of distributions is also
given.
Keywords :
Maximum likelihood estimation , Power generalized Weibull distribution
Journal title :
Journal of Statistical Modelling: Theory and Applications (JSMTA)