Estimation of Mode Using Auxiliary Information

被引:6
作者
Sedory, Stephen A. [1 ]
Singh, Sarjinder [1 ]
机构
[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA
关键词
Mean; Median; Mode; Variance and relative efficiency;
D O I
10.1080/03610918.2012.752836
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this article, we propose naive estimator, ratio estimator, and difference estimator of the mode of a study variable by using the known mode of an auxiliary variable. The asymptotic properties of the proposed estimators are studied analytically as well as empirically for different situations. The proper use of auxiliary information is found to result in efficient ratio and difference estimators than the naive estimator.
引用
收藏
页码:2390 / 2402
页数:13
相关论文
共 15 条
[1]  
[Anonymous], 1977, The advanced theory of statistics
[2]   ESTIMATION OF THE MODE [J].
CHERNOFF, H .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1964, 16 (1-2) :31-41
[3]  
Cochran W.G., 1940, AUST JOUR STATIST, V17, P22
[4]  
Cochran W.G., 2007, Sampling techniques
[5]   THE MODE - A NEGLECTED STATISTICAL PARAMETER [J].
DALENIUS, T .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-GENERAL, 1965, 128 (01) :110-117
[6]   Quantile estimation in two-phase sampling [J].
del Mar Rueda, Maria ;
Arcos, Antonio ;
Munoz, Juan Francisco ;
Singh, Sarjinder .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2007, 51 (05) :2559-2572
[7]  
Doodson AT, 1915, BIOMETRIKA, V11, P425
[8]   SOME DIRECT ESTIMATES OF THE MODE [J].
GRENANDER, U .
ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (01) :131-138
[9]  
Gross S., 1980, P SECTION SURVEY RES, P181
[10]  
KUK AYC, 1989, J ROY STAT SOC B, V51, P261