Efficient Estimation Procedure of Finite Population Mean Using Supplementary Information in Stratified Random Sampling
Surya Kant Pal, Housila P. Singh, Somya Sharma
Abstract
Surya Kant Pal, Housila P. Singh, Somya Sharma
Abstract
This paper addresses the problem of estimating the population mean of the study variable using known population mean of the auxiliary variable in stratified random sampling. We adopted the procedure of Kadilar and Cingi1 is proposing some chain ratio-type, combined chain ratio-type exponential, combined chain ratio-ratio-type exponential estimators and their generalized versions. Suggested estimators’ properties are studied up to the first order of approximation. We obtained the regions of preferences under which the proposed estimators are better than some existing estimators. In support of the present study, numerical illustration is being provided.
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This paper addresses the problem of estimating the population mean of the study variable using known population mean of the auxiliary variable in stratified random sampling. We adopted the procedure of Kadilar and Cingi1 is proposing some chain ratio-type, combined chain ratio-type exponential, combined chain ratio-ratio-type exponential estimators and their generalized versions. Suggested estimators’ properties are studied up to the first order of approximation. We obtained the regions of preferences under which the proposed estimators are better than some existing estimators. In support of the present study, numerical illustration is being provided.
Key concepts: Estimator, Stratified sampling, Population mean, Ratio estimator, Mathematics, Statistics, Population, Exponential function