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The Marshall-Olkin extended generalized Gompertz distribution
摘要
A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its parameters. Some mathematical properties of this model such as expansion for the density function, moments, moment generating function, quantile function, mean deviations, mean residual life, order statistics and Rényi entropy are derived. The maximum likelihood technique is used to estimate the unknown model parameters and the observed information matrix is determined. The applicability of the proposed model is shown by means of a real data set.
被引用紀錄
謝承儒（2013）。利用二維光子晶體探討空氣佔有率與氮化銦鎵發光二極體光萃取率之關係〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2013.02649
延伸閱讀
- Alizadeh, M., Ghosh, I., Yousof, H. M., Rasekhi, M., & G.G.Hamedani (2017). The Generalized Odd Generalized Exponential Family of Distributions: Properties, Characterizations and Application. Journal of Data Science, 15(3), 443-465. https://doi.org/10.6339/JDS.201707_15(3).0005
- Rei, H. Y. (2014). Heat Kernel for a Generalized Ornstein-Uhlenbeck operator [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2014.00334
- Cao, L. M., Sun, H. F., & Wang, X. J. (2008). The Geometric Structures of the Weibull Distribution Manifold and the Generalized Exponential Distribution Manifold. Tamkang Journal of Mathematics, 39(1), 45-51. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200803-39-1-45-51-a
- Kumar, D., & Jain, N. (2018). POWER GENERALIZED WEIBULL DISTRIBUTION BASED ON GENERALISED ORDER STATISTICS. Journal of Data Science, 16(3), 621-643. https://doi.org/10.6339/JDS.201807_16(3).0010
- Chakraborty, S., & Handique, L. (2018). PROPERTIES AND DATA MODELLING APPLICATIONS OF THE KUMARASWAMY GENERALIZED MARSHALL-OLKIN-G FAMILY OF DISTRIBUTIONS. Journal of Data Science, 16(3), 605-619. https://doi.org/10.6339/JDS.201807_16(3).0009