二元均匀分布的识别性
PDF下载 (671)李国安,李建峰.二元均匀分布的识别性[J].宁波大学学报(理工版),2017,30(3):42-47.DOI:
LI Guo-an,LI Jian-feng.Identifiability of some bivariate uniform distributions[J].Journal of Ningbo University(Natural Science & Engineering Edition),2017,30(3):42-47.DOI:
| Title: | Identifiability of some bivariate uniform distributions |
| 作者: | 李国安, 李建峰 |
| Author(s): | LI Guo-an, LI Jian-feng |
| 关键词: | 二元均匀分布; 识别性; 最小值随机变量 |
| Keywords: | bivariate uniform distributions; identifiability; minimum random variable |
| 分类号: | O212.4 |
| 文献标识码: | A |
| 摘要: | 本文分别讨论了单参数二元均匀分布的识别性、双参数二元均匀分布的识别性、叁参数二元均匀分布的识别性, 对于单参数二元均匀分布,已知最小值的分布时, 则参数可识别; 对于双参数二元均匀分布, 已知可识最小值的分布密度时, 则参数可识别; 对于叁参数二元均匀分布, 已知可识最小值的分布密度时, 所有参数皆不可识别. |
| Abstract: | Identifiability of some bivariate uniform distributions is considered. The result of the study presented in this paper shows: if two random variables have a bivariate uniform distribution of one parameter at the point where the distribution of the minimum is known, then one parameter is identifiable; If two random variables have a bivariate uniform distribution of two parameters, at the point where the distribution of identified minimum is known, then two parameters are identifiable; If two random variables have a bivariate uniform distribution of three parameters, in the case that the distribution of identified minimum is known, then all of parameters are not identifiable. |
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| 备注/Memo: | 收稿日期: 2014-09-14. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 宁波大学学科项目（XKL14D2037）. 第一作者: 李国安（1964?）, 男, 浙江慈溪人, 副教授, 主要研究方向: 数理统计与土地估价. E-mail: liguoan@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
