The new class of Kummer beta generalized distributions: theory and applications
By Rodrigo Rossetto Pescim. 2013
56 citations recorded by the source corpus.
Ng and Kotz (1995) introduced a distribution that provides greater flexibility to extremes.We define and study a new class of distributions called the Kummer beta generalized family to extend the normal, Weibull, gamma and Gumbel distributions, among several other well-known distributions. Some special models are discussed. The ordinary moments of any distribution in the new family can be expressed as linear functions of probability weighted moments of the baseline distribution. We examine the asymptotic distributions of the extreme values. We derive the density function of the order statistics, mean absolute deviations and entropies. We use maximum likelihood estimation to fit the distributions in the new class and illustrate its potentiality with an application to a real data set.
View Paper: https://www.semanticscholar.org/paper/c1dd472aeb358672dba9653ea031c369530f0235
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- Haitham M. Yousof
- Morad Alizadeh
- Gauss Moutinho Cordeiro
- G. Hamedani
- Mohammed Elgarhy
- Faton Merovci
- Edwin M. M. Ortega
- Ahmed Z. Afify
Citations in the corpus
- The exponentiated transmuted-G family of distributions: Theory and applications (2017, background): “…(2015), Kumaraswamy Marshall–Olkin by Alizadeh et al. (2015), beta Marshall–Olkin by Alizadeh et al. (2015), Kummer-beta generalized distributions by Pescim et al. (2012), a new family of Marshall–Olkin extended distributions by Alshangiti et al. (2014), a new family of distributions:…”
- The Zografos–Balakrishnan-G Family of Distributions: Mathematical Properties and Applications (2015, methodology): “…introduced by Cordeiro and de Castro (2011); the class of distributions generated by McDonald’s (1984) generalized beta random variable introduced by Alexander et al. (2012); the class of distributions generated by Ng and Kotz’s (1995) Kummer beta random variable introduced by Pescim et al. (2012).”
- Type II Half Logistic Family of Distributions with Applications (2017, methodology): “The pdf of the kth order statistic forTIIHL G family is derived by substituting (10) and (12) in (14), replacing h with 1, v k ”
- KUMARASWAMY WEIBULL-GENERATED FAMILY OF DISTRIBUTIONS WITH APPLICATIONS (2016, background): “[11] proposed the Kummer beta-generated family of distributions for any parent cdf.”