- 期刊
- OpenAccess
A New Extension of the Normal Distribution
並列摘要
Providing a new distribution is always precious for statisticians. A new three-parameter distribution called the gamma normal distribution is defined and studied. Various structural properties of the new distribution are derived, including some explicit expressions for the moments, quantile and generating functions, mean deviations, probability weighted moments and two types of entropy. We also investigate the order statistics and their moments. Maximum likelihood techniques are used to fit the new model and to show its potentiality by means of two examples of real data. Based on three criteria, the proposed distribution provides a better fit then the skew-normal distribution.
被引用紀錄
廖浩慶（2015）。‘Merton Thornless’黑莓於臺北地區花芽創始及發育之研究〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2015.00876
項軍強（2018）。研究固態酸性觸媒對甘油與正丁醇之反應合成含氧添加劑〔碩士論文，義守大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0074-3101201819383100
延伸閱讀
- Toulias, T. L., & Kitsos, C. P. (2013). On the Generalized Lognormal Distribution. Journal of Probability and Statistics, 2013(), 107-121. https://doi.org/10.1155/2013/432642
- 陳佳妤（2015）。The Application of Life Problems in Binomial and Normal Distribution〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201500213
- Chang, H. J., & Lee, M. C. (2017). On Normal Approximation of X^2 Distribution. 淡江理工學刊, 20(3), 283-294. https://doi.org/10.6180/jase.2017.20.3.02
- Xin, H., & Zhu, J. P. (2020). Accelerated Life Testing for Double-Truncated General Half Normal Distribution. International Journal of Information and Management Sciences, 31(1), 35-53. https://doi.org/10.6186/IJIMS.202003_31(1).0003
- Cordeiro, G. M., Pescim, R. R., Ortega, E. M. M., & Demétrio, C. G. B. (2013). The Beta Generalized Half-Normal Distribution: New Properties. Journal of Probability and Statistics, 2013(), 126-143. https://doi.org/10.1155/2013/491628