A MODIFIED CLASS OF DUAL TO RATIO-TYPE ESTIMATORS FOR ESTIMATING THE POPULATION VARIANCE UNDER SIMPLE RANDOM SAMPLING SCHEME AND ITS APPLICATION TO REAL DATA

被引:0
作者
Riyaz, Saba [1 ]
Jan, Rafia [1 ]
Maqbool, Showkat [2 ]
Rather, Khalid Ul Islam [3 ]
Jan, T. R. [1 ]
机构
[1] Univ Kashmir, Dept Stat, Srinagar 190006, India
[2] Sher E Kashmir Univ Agr Sci & Technol Kashmir, Div AGB, Srinagar 191202, India
[3] Sher E Kashmir Univ Agr Sci & Technol Jammu, Div Stat & Comp Sci, Main Campus SKUAST J, Chatha Jammu 180009, India
关键词
auxiliary variable; dual to ratio-type estimators; mean square error;
D O I
10.46939/J.Sci.Arts-22.3-a06
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This work is an extension to the work of [1] on ratio estimators of variance, by modification using dual to ratio method. The consistency conditions, bias, mean square error, optimum mean square error and efficiency have been derived and its performance is illustrated using natural populations. It is observed that the proposed class of estimators is most efficient at its optimum value, due to highest percent relative efficiency generated by it, when compared to the usual unbiased estimator for variance.
引用
收藏
页码:593 / 604
页数:12
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