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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. : 1-16, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00001.8 (Received on 14.09.2018, Revised on 29.01.2019, Accepted on 05.02.2019)

SOME NEW DEVELOPMENTS IN CHAIN TYPE ESTIMATORS FOR ESTIMATING POPULATION MEAN IN CLUSTER SAMPLING

Surya K. Pal1,*, Housila P. Singh2, Shrasthi Srivastava3
Author’s Affiliation : 1BFIT- Group of Institutions, Dehradun, Uttarakhand 248007, India. 2,3School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India.

Corresponding Author : Surya K. Pal, Assistant Professor, Department of Statistics, BFIT- Group of Institutions, Dehradun- 248007, U.K., India,
E-Mail:-[email protected]


Abstract

In this paper we suggest a ratio type exponential estimator, a chain ratio-type estimator, a chain ratio-type exponential estimator and a chain ratio-ratio-type exponential estimator in cluster sampling. Further we consider a generalized class of chain ratio-ratio-type exponential estimator. The properties of the suggested class of estimators are studied under large sample approximation. Conditions are obtained under which these estimators are more efficient than the usual unbiased estimators.

AMS 2010 Mathematics Subject Classification: 62-XX, 62Jxx.

Keywords

Main and Subsidiary variable, Bias, MSE, Efficiency, Cluster sampling.
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