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正态总体方差估计的比较
引用本文:林昌盛.正态总体方差估计的比较[J].高师理科学刊,2010,30(1):24-26.
作者姓名:林昌盛
作者单位:长江师范学院,数学与计算机学院,重庆,408100
摘    要:针对正态总体方差的一类估计cS 2,首先在无偏性、有效性和相合性准则下进行分析和比较几种估计量,然后导出均方误差意义下一个估计优于另一估计的充分条件,为比较正态总体方差的几种估计量的优良性提供快捷方法.

关 键 词:方差估计  相合估计  无偏估计  有效估计  均方误差

Comparison between the parameter estimates of normal population variance
LIN Chang-sheng.Comparison between the parameter estimates of normal population variance[J].Journal of Science of Teachers'College and University,2010,30(1):24-26.
Authors:LIN Chang-sheng
Institution:School of Mathematics and Computer;Yangtze Normal College;Chongqing 408100;China
Abstract:For the kind of estimates of normal population variance --cS 2, the properties of the variance estimates was discussed and compared under consistence, unbiasedness and efficiency. A sufficient condition for the superiority of one estimator over another was established under the mean square error rule, which provides convenient and effective method for comparison of the superiority between the parameter estimates of normal population variance.
Keywords:variance estimate  consistent estimate  unbiased estimate  efficient estimate  mean square error  
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