Comparison of estimation methods for the finite population mean in simple random sampling: symmetric super-populations

2011 ◽  
Vol 38 (6) ◽  
pp. 1277-1288
Author(s):  
Arzu Altin Yavuz ◽  
Birdal Senoglu
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Estimation Methods ◽  
Population Mean

A family of efficient estimators of the finite population mean in simple random sampling

2017 ◽  
Vol 88 (5) ◽  
pp. 920-934 ◽  
Author(s):  
Surya K. Pal ◽  
Housila P. Singh ◽  
Sunil Kumar ◽  
Kiranmoy Chatterjee
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Population Mean

scholarly journals A generalized exponential-type estimator for population mean using auxiliary attributes

PLoS ONE ◽  
2021 ◽  
Vol 16 (5) ◽  
pp. e0246947
Author(s):  
Sohail Ahmad ◽  
Muhammad Arslan ◽  
Aamna Khan ◽  
Javid Shabbir
Keyword(s):  
Exponential Type ◽  
Random Sampling ◽  
Finite Population ◽  
Mean Squared Error ◽  
Simple Random Sampling ◽  
Stratified Random Sampling ◽  
Population Mean ◽  
First Order ◽  
Squared Error ◽  
Class Of Estimators

In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up to first order of approximation. Both empirical study and theoretical comparisons are discussed. Four populations are used to support the theoretical findings. It is observed that the proposed class of estimators perform better as compared to all other considered estimator in simple and stratified random sampling.

A new efficient class of estimators of finite population mean in simple random sampling

2019 ◽  
Vol 31 (3-4) ◽  
pp. 595-607 ◽  
Author(s):  
Surya K. Pal ◽  
Housila P. Singh ◽  
Ramkrishna S. Solanki
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Population Mean ◽  
Class Of Estimators

On Interpenetrating Samples of Equal and Unequal Sizes

1981 ◽  
Vol 30 (3-4) ◽  
pp. 187-198 ◽  
Author(s):  
S. Sengupta
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Sampling Procedure ◽  
Population Mean ◽  
Almost All ◽  
The Cost

The interpenetrating sub-sampling procedure with unequal sizes of the samples has been compared with an equicost procedure based on equal sized samples and it has been observed that unequal sized samples lead to more precise estimates of a finite population mean in almost all the cases dealt with in this paper. Simple random sampling has b:en considered throughout and it has been assumed that the cost of the survey is proportional to the number of distinct units in the sample.

scholarly journals Efficient Estimator of a Finite Population Mean Using Two Auxiliary Variables and Numerical Application in Agricultural, Biomedical, and Power Engineering

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Jingli Lu
Keyword(s):  
Random Sampling ◽  
Finite Population ◽  
Simple Random Sampling ◽  
Power Engineering ◽  
Comparison Study ◽  
Auxiliary Variables ◽  
Numerical Application ◽  
Population Mean ◽  
Theoretical Results ◽  
Better Than

To improve the efficiency of an estimator with two auxiliary variables, we propose a new estimator of a finite population mean under simple random sampling. The bias and mean square error expressions of the proposed estimator have been obtained. In a comparison study, we found that the new estimator was consistently better than those of Abu-Dayyeh et al., Kadilar and Cingi, and Malik and Singh, as well as the regression estimator using two auxiliary variables, and that the minimum MSE values of the previous three above reported estimators were equal. We used four numerical examples in agricultural, biomedical, and power engineering to support these theoretical results, thus enriching the theory of survey samples by the development of new estimators with two auxiliary variables.

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