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A New Generalized Family of Distributions from Bounded Support
摘要
In this paper, we introduce a new generalized family of distri-butions from bounded support (0,1), namely, the Topp-Leone-G family. Some of mathematical properties of the proposed family have been studied. The new density function can be symmetrical, left-skewed, right-skewed or reverse-J shaped. Furthermore, the hazard rate function can be constant, in- creasing, decreasing, J or bathtub hazard rate shapes. Three special models are discussed. We obtain simple expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations and entropies. The method of maximum likelihood is used to estimate the model parame-ters. The flexibility of the new family is illustrated by means of three real data sets.
被引用紀錄
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劉悌鐳 (2012). 石墨烯中時變位能的量子傳輸特性 [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2012.00680
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延伸閱讀
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- Okorie, I. E., Akpanta, A. C., & Ohakwe, J. (2016). The Exponentiated Gumbel Type-2 Distribution: Properties and Application. International Journal of Mathematics and Mathematical Sciences, 2016(), 164-173. https://doi.org/10.1155/2016/5898356
- Hassan, A. S., Elgarhy, M., & Ahmad, Z. (2019). TYPE II GENERALIZED TOPP-LEONE FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS. Journal of Data Science, 17(4), 638-658. https://doi.org/10.6339/JDS.201910_17(4).0001
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