Open AccessA Generalized Two Phase Sampling Estimator of Ratio of Population Means Using Auxiliary Information
Author(s) -
Tarunpreet Kaur Ahuja,
Peeyush Misra,
O. K. Belwal
Publication year - 2021
Publication title -
journal of reliability and statistical studies
Language(s) - English
Resource type - Journals
eISSN - 2229-5666
pISSN - 0974-8024
DOI - 10.13052/jrss0974-8024.1411
Subject(s) - estimator , mean squared error , ratio estimator , mathematics , population mean , statistics , minimum mean square error , sampling (signal processing) , efficiency , population , bias of an estimator , minimum variance unbiased estimator , computer science , demography , filter (signal processing) , sociology , computer vision
This paper addresses the problem of estimating ratio of two population means by using quantitative auxiliary knowledge in the form of first and second moments. Through this paper, an improved generalized two phase sampling estimator has been proposed. The relative bias and mean squared error of the suggested estimator has been derived and studied. Also, a comparative study with the conventional estimators has been included to establish its superiority. Besides theoretical comparisons, a subset of optimum estimators having the same minimum mean squared error (MSE) is also explored. An empirical study is also carried out to support theoretical results.