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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 176-192, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00016.X (Received on 05.08.2018 Revised on 20.03.2019 Accepted on 07.04.2019)

A CLASS OF ESTIMATORS FOR ESTIMATING THE POPULATION MEAN AND VARIANCE USING AUXILIARY INFORMATION UNDER ADOPTIVE CLUSTER SAMPLING IN SAMPLE SURVEYS

Housila P. Singh1, Anita Yadav2,*
Author’s Affiliation : 1 School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India 2 School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India

Corresponding Author : Anita Yadav, School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India,
E-Mail:-[email protected]


Abstract

For estimating the mean of finite population using information on an auxiliary variable we define the classes of estimators under adoptive cluster sampling in this paper. Expressions for their biases and mean squared errors are obtained under large sample approximation. The minimum mean squared errors of each class of estimators are also given. A similar class of estimators is defined for the variance of the estimator of the mean. A condition is obtained under which the proposed class of estimators of the variance of the estimator is minimum.

2010 AMS Mathematics Subject Classification: 62D05, 62D99.  

Keywords

Finite population, study variable, auxiliary variable, Bias and Mean squared error, adoptive cluster sampling.
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