Open AccessOn Using the Conventional and Nonconventional Measures of the Auxiliary Variable for Mean Estimation
Author(s) -
Javid Shabbir,
Sat Gupta,
Ronald Onyango
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 - 10.1155/2021/3741620
Subject(s) - estimator , mathematics , variable (mathematics) , population mean , statistics , exponential function , sample size determination , population , class (philosophy) , computer science , artificial intelligence , mathematical analysis , demography , sociology
In this paper, we propose an improved new class of exponential-ratio-type estimators for estimating the finite population mean using the conventional and the nonconventional measures of the auxiliary variable. Expressions for the bias and MSE are obtained under large sample approximation. Both simulation and numerical studies are conducted to validate the theoretical findings. Use of the conventional and the nonconventional measures of the auxiliary variable is very common in survey research, but we observe that this does not add much value in many of the estimators except for our proposed class of estimators.