再谈一种新的偏态分布下心理状态数的估计  

On estimate of the mental states number under a new skewed distribution

作　　者：朱家砚[1] 李波[2] 李正帮[2] 

机构地区：[1]中南财经政法大学武汉学院信息系,武汉430072 [2]华中师范大学数学与统计学学院,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2014年第6期801-805,共5页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金青年基金项目(11201165;11401240);湖北省统计科研计划项目(HB131-28);华中师范大学自主科研项目(CCNU13A05032)

摘　　要：心理状态数是反映人们日常生产活动中心理状态对他们的行为和结果影响的重要指标.董云河和宋述龙最早假定心理状态对结果影响的偏态分布为N(0,σ2,c).随后,宋立新给出一种新的偏态分布.该文指出了这种新偏态分布的局限性,并在此基础上提出一种更广泛的偏态分布,并得到了其矩估计和极大似然估计.通过统计模拟研究,比较已得到的2种估计与已有估计的偏差与均方误差,得出了极大似然估计具有较强的稳健性的结论.Mental state number is an important indicator, which shows the impact of psychological state in people＇s daily lift on their behavior and the consequence that follows. Dong Yunhe and Song Shulong are among the first to assume that the mental states number is under the skewed distribution N（0,σ2 ,c）. Then Song Lixin proposed a new skewed distribution. This paper points out the weakness of Song＇s new skewed distribution and proposes a more extensive skewed distribution, and the corresponding moments and maximum likelihood estimate are obtained. By statistical simulation studies, we compare the bias and mean square error of our two kinds of estimates to those of Song Lixin＇s paper. The strong robustness of our two estimates are demonstrated.

关 键 词：心理状态数 偏态分布 估计 偏差 均方误差 

分 类 号：O212[理学—概率论与数理统计]