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The Exponentiated Generalized Class of Distributions
並列摘要
We propose a new method of adding two parameters to a continuous distribution that extends the idea first introduced by Lehmann (1953) and studied by Nadarajah and Kotz (2006). This method leads to a new class of exponentiated generalized distributions that can be interpreted as a double construction of Lehmann alternatives. Some special models are discussed. We derive some mathematical properties of this class including the ordinary moments, generating function, mean deviations and order statistics. Maximum likelihood estimation is investigated and four applications to real data are presented.
被引用紀錄
Chen, H. W. (2014). 寬頻感知無線電網路中具有服務品質保證之頻譜管理方法 [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2014.00538
洪楷展（2013）。利用時域解析傅立葉轉換紅外光譜法研究乙醛與丙醛在248 nm之光分解反應〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2013.10999
張逸逵（2011）。在感知無線電網路下基於拍賣架構之頻譜管理〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2011.02878
Wang, Y. S. (2009). 非同步協同演算法及其在分散式無線網路之應用 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2009.01877
林志鴻（2006）。豬肥厚性心肌病心臟超音波診斷技術的建立與應用〔博士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2006.00220
延伸閱讀
- Andrade, T. A. N. D., Bourguignon, M., & Cordeiro, G. M. (2016). The exponentiated generalized extended exponential distribution. Journal of Data Science, 14(3), 393-413. https://doi.org/10.6339/JDS.201607_14(3).0001
- Merovci, F., & Elbatal, I. (2015). A New Generalized of Exponentiated Modified Weibull Distribution. Journal of Data Science, 13(2), 213-238. https://doi.org/10.6339/JDS.201504_13(2).0001
- NADARAJAH, S., & KOTZ, S. (2006). RELIABILITY FOR SOME BIVARIATE EXPONENTIAL DISTRIBUTIONS. Mathematical Problems in Engineering, 2006(), 420-433. https://doi.org/10.1155/MPE/2006/41652
- Pu, S., Oluyede, B. O., Qiu, Y., & Linder, D. (2016). A GENERALIZED CLASS OF EXPONENTIATED MODI ED WEIBULL DISTRIBUTION WITH APPLICATIONS. Journal of Data Science, 14(4), 585-613. https://doi.org/10.6339/JDS.201610_14(4).0002
- Andrade, T. A. N. D., & Zea, L. M. (2018). THE EXPONENTIATED GENERALIZED EXTENDED PARETO DISTRIBUTION. Journal of Data Science, 16(4), 781-800. https://doi.org/10.6339/JDS.201810_16(4).00007