Transmuted Kumaraswamy Distribution
By Muhammad Shuaib Khan, Robert A. R. King, Irene Lena Hudson. Statistics in Transition New Series, 2016
75 citations recorded by the source corpus.
Abstract The Kumaraswamy distribution is the most widely applied statistical distribution in hydrological problems and many natural phenomena. We propose a generalization of the Kumaraswamy distribution referred to as the transmuted Kumaraswamy (TKw) distribution. The new transmuted distribution is developed using the quadratic rank transmutation map studied by Shaw et al. (2009). A comprehensive account of the mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The TKw distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/AIDS data applications illustrate the usefulness of the proposed model.
Subfields: Global and Planetary Change, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/1dd2ed307ecb13e70ad0839f707d2213370053cf
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In Global and Planetary Change
In Statistics and Probability
Citations in the corpus
- The unit-inverse Gaussian distribution: A new alternative to two-parameter distributions on the unit interval (2018, background): “…and Lemonte 2015), the Reflected Generalized Topp-Leone Power series distribution (Condino and Domma 2016), the Transmuted Kumaraswamy distribution (Shuaib, Robert, and Lena 2016), the size biased Kumaraswamy distribution (Sharma, and Chakrabarty 2016) and the Extended Arcsine distribution…”