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Chain ratio and regression type estimators for median estimation in survey sampling
Authors:Sarjinder Singh  Housila P. Singh  Lakshmi N. Upadhyaya
Affiliation:(1) Department of Statistics, St. Cloud State University, 56301-4498 St. Cloud, MN, USA;(2) School of Studies in Statistics, Vikram University, 456010 Ujjain, M.P., India;(3) Department of Applied Mathematics, Indian School of Mines, 826 004 Dhanbad, India
Abstract:
In this paper, we consider chain ratio and regression type estimators for estimating median in survey sampling. We find expressions for the variance of the chain-ratio and chain-regression type estimators considered in the present investigation. The optimum values of the first phase and second phase sample sizes are also obtained for the fixed cost of survey. The relative efficiency of chain-ratio and chain-regression type estimators have been studied in comparison to ratio and regression type estimators of median proposed by Singh, Joarder and Tracy (2001).
Keywords:Median estimation  chain-ratio and regression estimators  mean squared error  cost  two-phase sampling
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