| 几个小样本检验统计量的研究 |
| |
| 引用本文： | 潘高田,党明涛,王保恒,赵东波.几个小样本检验统计量的研究[J].装甲兵工程学院学报,2008,22(2). |
| |
| 作者姓名： | 潘高田 党明涛 王保恒 赵东波 |
| |
| 作者单位： | 装甲兵工程学院,装备指挥与管理系,北京,100072 |
| |
| 摘 要： | 证明了n个相互独立的且服从(0,1)均匀分布的随机变量的乘积X服从定义的P(n)分布,并证明了Y=-lnX服从Gamma(n,1)分布。利用此结论提出了对非正态总体的小样本参数检验的理论和方法,讨论了指数分布、威布尔分布和艾分布的小样本检验问题。
|
| 关 键 词： | 指数分布 威布尔分布 艾分布 假设检验 |
Researches on the Statistic of Some Small Sample-tests |
| |
| PAN Gao-tian,DANG Ming-tao,WANG Bao-heng,ZHAO Dong-bo.Researches on the Statistic of Some Small Sample-tests[J].Journal of Armored Force Engineering Institute,2008,22(2). |
| |
| Authors: | PAN Gao-tian DANG Ming-tao WANG Bao-heng ZHAO Dong-bo |
| |
| Institution: | (Department of Equipment Command and Administration; Academy of Armored Force Engineering; Beijing 100072; China); |
| |
| Abstract: | Let Xbe the product of n independent and random variables each with the same distribution as the uniform distribution with parameters 0 and 1. The random variable X follows the P distribution with n degrees of freedom defined in this paper. It′s proved that the new random variable Y=-ln X conforms to Gamma distribution with parameters n and 1. According to this conclusion, the paper mainly clarifies theories and methods of small sample parameter test about non-normal distribution, discusses the small sample... |
| |
| Keywords: | exponent distribution Weibull distribution Эрланга distribution hypothesis test |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
