Modified ratio estimators using stratified ranked set sampling

Authors : V.l. MANDOWARA, Nitu MEHTA insert ignore into journalissuearticles values(RANKA);

Pages : 461-471

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Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :Stratified Ranked Set Sampling insert ignore into journalissuearticles values(SRSS); combines the advantages of stratification and Ranked set sampling insert ignore into journalissuearticles values(RSS); to obtain an unbiased estimator for the population mean, with potentially significant gains in efficiency. The present paper deals with modified ratio estimators of finite population mean using information on coefficient of variation and co-efficient of kurtosis of auxiliary variable in Stratified Ranked Set Sampling. It has been shown that these methods are highly beneficial to the estimation based on Stratified Simple Random Sampling insert ignore into journalissuearticles values(SSRS);. The bias and mean squared error of the proposed estimators with large sample approximation are derived. Theoretically, it is shown that these suggested estimators are asymptotically more efficient than the estimators in stratified simple random sampling. The results have been illustrated by numerical example.
Keywords : Stratified ranked set sampling, Ratio type estimators, Ranked set sampling, Auxiliary variables, Mean squared error, Population mean, Coefficient of variation, Coefficient of kurtosis, Efficiency