Author(s):
1. Mahmoud R. Mahmoud:
Institute of Statistical Studies & Research, Cairo University, Egypt.
2. El-Sayed A. El-Sherpieny.:
Institute of Statistical Studies & Research, Cairo University, Egypt
3. Mohamed A. Ahmed:
Institute of Statistical Studies & Research, Cairo University, Egypt.
Abstract:
The Weibull distribution has been used over the past decades for modeling data in many fields so finding generalization of the Weibull distribution becomes very useful to fit more cases or get better fits than before. In this paper, the Kumaraswamy Kumaraswamy Weibull (Kw Kw W) distribution is presented for the first time and we show that it generalizes many important distributions. The probability density function (pdf), the cumulative distribution function (cdf), moments, quantiles, the median, the mode, the mean deviation, the entropy, order statistics, L-moments, extreme value and parameters estimation based on maximum likelihood are obtained for the Kw Kw W distribution. An illustration study and a real data set are used to illustrate the potentiality and application of the new Kw Kw W distribution.
Page(s):
165-184
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 12, Issue: 1, Year: 2016
Keywords:
entropy
,
maximum likelihood estimation
,
Order Statistics
,
Moments
,
The Kumaraswamy Kumaraswamy family
,
The Weibull distribution
,
Lmoments
,
Extreme values
References:
References are not available for this document.
Citations
Citations are not available for this document.