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Use of jack – Knife technique and unbiased class of product type estimators in circular systematic sampling (C.S.S.) scheme
International Journal of Chemical Studies · 2020 · Vol. 8(2) · pp. 72–75
Chetan Patel✉(Jawaharlal Nehru Krishi Vishwa Vidyalaya)Vinit Jaiswal(Jawaharlal Nehru Krishi Vishwa Vidyalaya)RA Sharma(Jawaharlal Nehru Krishi Vishwa Vidyalaya)K.S. Kushwaha(Jawaharlal Nehru Krishi Vishwa Vidyalaya)
Abstract
A general class of product type estimators in C.S.S. scheme is proposed to estimate the population mean of a response variable y. Jack – knife technique pioneered by quenouille (1949, 1956) is applied to make the class unbiased. The explicit expression for sampling variance of the class Tpu is derived to first order (n-1) of approximation. Minimum Variance Unbiased Estimator (M.V.U.E.) in the class Tpu is investigated. An empirical illustration is provided to examine the applicability of the results derived.
Survey Sampling and Estimation TechniquesAdvanced Statistical Methods and ModelsOptimal Experimental Design MethodsEstimatorMathematicsClass (philosophy)Population varianceVariance (accounting)Bias of an estimatorProduct (mathematics)Sampling (signal processing)Minimum-variance unbiased estimatorStatistics
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Applied Regression Analysis
Technometrics · 1967 · 3,326 citations
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