Back to Search
Start Over
A Combined Family of Ratio Estimators for Population Mean using an Auxiliary Variable in Simple Random Sampling
- Source :
- Journal of Mathematical and Fundamental Sciences, Vol 51, Iss 1, Pp 1-12 (2019)
- Publication Year :
- 2019
- Publisher :
- The Institute for Research and Community Services (LPPM) ITB, 2019.
-
Abstract
- This paper proposes two new classes of ratio estimators for population mean when information on a known auxiliary variable is available in simple random sampling. A combined family of ratio estimators for estimating population mean by combining the two new estimators together in order to minimize the mean square error (MSE) is then suggested. The expressions for the bias and mean square error of all proposed estimators up to the first order of approximation were obtained. The performance of the proposed estimators was compared with that of existing estimators using both a theoretical and a simulation study. The proposed family of estimators was found to be more efficient than the existing estimators.
- Subjects :
- bias
Mean squared error
General Mathematics
General Physics and Astronomy
Ratio estimator
mean square error
General Biochemistry, Genetics and Molecular Biology
Auxiliary variables
ratio estimator
Statistics
Order (group theory)
lcsh:Science
lcsh:Science (General)
percentage relative efficiency
Mathematics
Multidisciplinary
Population mean
Estimator
General Chemistry
General Medicine
First order
Simple random sample
combined family of ratio estimators
General Earth and Planetary Sciences
lcsh:Q
General Agricultural and Biological Sciences
lcsh:Q1-390
Subjects
Details
- ISSN :
- 23385510 and 23375760
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical and Fundamental Sciences
- Accession number :
- edsair.doi.dedup.....4b6118353d167f7dd62481a79f45fe5e