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Abstract
Based on a simple relationship between two truncated moments and certain functions of the th order statistic, we characterize some extended classes of distributions recently proposed in the statistical literature, videlicet Beta-G, Gamma-G, Kumaraswamy-G and McDonald-G. Several properties of these extended classes and some special cases are discussed. We compare these classes in terms of goodness-of-fit criteria using some baseline distributions by means of two real data sets.
Keywords
Beta exponential
Beta extended Weibull
Characterization
Gamma extended Weibull
Generalized McDonald
McDonald normal
Kumaraswamy-inverse Weibull
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How to Cite
Hamedani, G. G., Cordeiro, G. M., Lima, M. C. S., & Nascimento, A. C. (2017). Some Extended Classes of Distributions: Characterizations and Properties. Pakistan Journal of Statistics and Operation Research, 13(4), 893-908. https://doi.org/10.18187/pjsor.v13i4.2147