- Türkiye İstatistik Derneği Dergisi
- Vol: 13 Issue: 2
- Improved estimators for estimating the population mean in two occasion successive sampling
Improved estimators for estimating the population mean in two occasion successive sampling
Authors : Vishwantra Sharma, Sunil Kumar
Pages : 39-51
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Publication Date : 2021-07-01
Article Type : Research
Abstract :This paper addresses the problem of estimating the population mean of the study variable in two occasions successive sampling. Based on the available information from the first and second occasions, class of estimators produced under two situations, i) when the information on a positively correlated auxiliary variable with the study variable is available on both the occasions and ii) when the information on the auxiliary variable which is negatively correlated with the study variable is available on both the occasions. Properties of the suggested class of estimators have been studied and compared with the sample mean estimator with no matching from the previous occasion and traditional successive sampling linear estimator. The study is supported by an optimal replacement policy. Empirical study also has been illustrated to show the performance of the recommended estimators theoretically.Keywords : Study variable, Auxiliary variable, Bias, Mean Square Error, Successive sampling