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A class of product-type exponential estimators of the population mean in simple random sampling scheme

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  • A. C. Onyeka

Abstract

The present study proposes a class of product-type exponential estimators for estimating the population mean of the study variable, using known values of some population parameters of an auxiliary character, under the simple random sampling without replacement (SRSWOR) scheme. Furthermore, the study also proposes a modified exponential estimator based on both the ratio-type and the product-type exponential estimators. Properties of the proposed estimators, under the SRSWOR scheme, are obtained up to first order approximation. The modified exponential estimator under optimum conditions is shown to be more efficient than the simple sample mean and the ratio-type and product-type exponential estimators. The theoretical results are supported by an empirical illustration.

Suggested Citation

  • A. C. Onyeka, 2013. "A class of product-type exponential estimators of the population mean in simple random sampling scheme," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 14(2), pages 189-200, June.
    • Handle: RePEc:csb:stintr:v:14:y:2013:i:2:p:189-200
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    References listed on IDEAS

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    1. A. C. Onyeka, 2012. "Estimation of population mean in post-stratified sampling using known value of some population parameter(s)," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(1), pages 65-78, March.
    2. Housila P. Singh & Rajesh, 2005. "Estimation of finite population mean using known correlation coefficient between auxiliary characters," Statistica, Department of Statistics, University of Bologna, vol. 65(4), pages 407-418.
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