Efficient Estimators Using Auxiliary Variable under Second Order Approximation in Simple Random Sampling and Two-Phase Sampling | Zendy

Rajesh Singh | Zendy; Prayas Sharma | Zendy

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Efficient Estimators Using Auxiliary Variable under Second Order Approximation in Simple Random Sampling and Two-Phase Sampling

Author(s) -

Rajesh Singh,

Prayas Sharma

Publication year - 2014

Publication title -

advances in statistics

Language(s) - English

Resource type - Journals

eISSN - 2356-6892

pISSN - 2314-8314

DOI - 10.1155/2014/974604

Subject(s) - estimator , simple random sample , mathematics , sampling (signal processing) , statistics , simple (philosophy) , random variable , variable (mathematics) , population mean , mean squared error , bootstrapping (finance) , population , computer science , econometrics , mathematical analysis , philosophy , demography , filter (signal processing) , epistemology , sociology , computer vision

This paper suggests some estimators for population mean of the study variable in simple random sampling and two-phase sampling using information on an auxiliary variable under second orderapproximation. Bahl and Tuteja (1991) and Singh et al. (2008) proposed some efficient estimators and studied the properties of the estimators to the first order of approximation. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling and two-phase sampling. Finally, an empirical study is carried out to judge the merits of the estimators over others under first and second order of approximation

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