Improved ratio-cum-product type exponential estimators for ratio of two population means in sample surveys

Article type: Research Article

Authors: Tailor, Rajesh | Lone, Hilal A.^{; *}

Affiliations: School of Studies in Statistics, Vikram University, Ujjain, MP, India

Correspondence: [*] Corresponding author: Hilal A. Lone, School of Studies in Statistics, Vikram University, Ujjain-456010, MP, India. E-mail: [email protected].

Abstract: This paper considers the problem of estimation of ratio of two population means. In this paper, a ratio-cum-product type exponential estimator is suggested using auxiliary information in the form of known population mean of two auxiliary variates. Almost unbiased estimator for ratio of two population means is obtained using bias subtraction and random group methods. An optimum estimator is also achieved in random group method. Expressions for bias and mean squared error are obtained up to the first degree of approximation. Conditions under which the suggested estimator is more efficient than usual estimator, Singh [13] estimators, Singh [14] estimator and Rawal [7] estimators are obtained. A generalized version of the suggested estimator is also given with its properties. An empirical study has been carried out to demonstrate the performance of the suggested estimators.

Keywords: Ratio of two population means, auxiliary information, bias, mean squared error

DOI: 10.3233/MAS-140300

Journal: Model Assisted Statistics and Applications, vol. 9, no. 4, pp. 283-294, 2014