| 二元均匀分布的识别性 |
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| 引用本文： | 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),2017,0(3):42-47. |
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| 作者姓名： | 李国安 李建峰 |
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| 作者单位： | 宁波大学 理学院, 浙江 宁波 315211 |
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| 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.
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| 关 键 词： | 二元均匀分布 识别性 最小值随机变量 |
Identifiability of some bivariate uniform distributions |
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| LI Guo-an,LI Jian-feng.Identifiability of some bivariate uniform distributions[J].Journal of Ningbo University(Natural Science and Engineering Edition),2017,0(3):42-47. |
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| Authors: | LI Guo-an LI Jian-feng |
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| Affiliation: | Faculty of Science, Ningbo University, Ningbo 315211, China |
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| 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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| Keywords: | bivariate uniform distributions identifiability minimum random variable |
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