Enhanced Estimators of Population Variance with the Use of Supplementary Information in Survey Sampling
Author(s) -
Showkat Ahmad Lone,
Mir Subzar,
Ankita Sharma
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/9931217
Subject(s) - estimator , variance (accounting) , population variance , statistics , mathematics , extremum estimator , efficiency , population , class (philosophy) , variable (mathematics) , sampling (signal processing) , econometrics , computer science , m estimator , artificial intelligence , mathematical analysis , demography , accounting , filter (signal processing) , sociology , computer vision , business
In the present study, we propose the proficient class of estimators of the finite population mean, while incorporating the nonconventional location and nonconventional measures of dispersion with coefficient of variation of the auxiliary variable. Properties associated with the suggested class of improved estimators are derived, and an efficiency comparison with the usual unbiased ratio estimator and other existing estimators under consideration in the present study is established. An empirical study has also been provided to validate the theoretical results. Finally, it is established that the proposed class of estimators of the finite population variance proves to be more efficient than the existing estimators mentioned in this study.
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