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On Using the Conventional and Nonconventional Measures of the Auxiliary Variable for Mean Estimation
- Source :
- Mathematical Problems in Engineering, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- 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.
- Subjects :
- Article Subject
Population mean
General Mathematics
General Engineering
Estimator
Survey research
Engineering (General). Civil engineering (General)
01 natural sciences
Large sample
010101 applied mathematics
Auxiliary variables
010104 statistics & probability
Mean estimation
QA1-939
Applied mathematics
TA1-2040
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....18a4db06c856e29e6c2441ca0c67ed92