Improving the performance of kurtosis estimator

被引:19
作者
An, Lihua [1 ]
Ahmed, S. Ejaz [1 ]
机构
[1] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
kurtosis; mean squared error; Monte Carlo simulation; coefficient of variation; bootstrapping;
D O I
10.1016/j.csda.2007.09.024
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this communication, sample measures of kurtosis adapted by various software packages are compared for data from normal and non-normal populations. Further, two improved estimators of population kurtosis are proposed and their performance is compared with the currently used measures. The suggested estimators have considerably lower mean squared error (MSE) for various sampling designs in our simulation study. Two empirical examples are given to illustrate the usefulness of suggested estimators in practice. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:2669 / 2681
页数:13
相关论文
共 10 条
[1]   Simultaneous estimation of coefficients of variation [J].
Ahmed, SE .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2002, 104 (01) :31-51
[2]   KURTOSIS - A CRITICAL-REVIEW [J].
BALANDA, KP ;
MACGILLIVRAY, HL .
AMERICAN STATISTICIAN, 1988, 42 (02) :111-119
[3]  
CRAMER H, 1946, MATH METHODS STAT, P386
[4]   On the meaning and use of kurtosis [J].
DeCarlo, LT .
PSYCHOLOGICAL METHODS, 1997, 2 (03) :292-307
[5]  
Douglas G. B., 2006, COMPUT STAT DATA AN, V50, P2953
[6]  
Fisher R. A., 1928, P LOND MATH SOC, V30, P199
[7]  
Fung WK, 1998, STAT MED, V17, P2003, DOI 10.1002/(SICI)1097-0258(19980915)17:17<2003::AID-SIM889>3.0.CO
[8]  
2-I
[9]  
Joanes DN, 1998, J ROY STAT SOC D-STA, V47, P183
[10]  
Kendall M., 1987, KENDALLS ADV THEORY