2020•JOURNAL OF INTERNATIONAL ACADEMY OF PHYSICAL SCIENCESOpen access

Efficient Estimation Procedure of Finite Population Mean Using Supplementary Information in Stratified Random Sampling

Surya Kant Pal, Housila P. Singh, Somya Sharma

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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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What this paper is about

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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Available 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.

Key concepts: Estimator, Stratified sampling, Population mean, Ratio estimator, Mathematics, Statistics, Population, Exponential function

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