Abstract
Weighted distributions are used in many fields, such as medicine, ecology, and reliability. A weighted version of the generalized inverse Weibull distribution, known as weighted generalized inverse Weibull distribution (WGIWD), is proposed. Basic properties including mode, moments, moment generating function, skewness, kurtosis, and Shannon’s entropy are studied. The usefulness of the new model was demonstrated by applying it to a real-life data set. The WGIWD fits better than its submodels, such as length biased generalized inverse Weibull (LGIW), generalized inverse Weibull (GIW), inverse Weibull (IW) and inverse exponential (IE) distributions.
DOI
10.22237/jmasm/1555506264
Recommended Citation
Mudasir, S., & Ahmad, S. P. (2018). Weighted version of generalized inverse Weibull distribution. Journal of Modern Applied Statistical Methods, 17(2), eP2691. doi: 10.22237/jmasm/1555506264
Included in
Applied Statistics Commons, Social and Behavioral Sciences Commons, Statistical Theory Commons
