A general procedure for estimating the mean using double sampling for stratification

Article type: Research Article

Authors: Singh, Housila P. | Vishwakarma, Gajendra K.^{; *}

Affiliations: School of Studies in Statistics, Vikram University, Ujjain – 456010, M.P., India

Correspondence: [*] Corresponding author. E-mail: hpsujn@rediffmail.com, vishwagk@rediffmail.com.

Abstract: A general procedure is considered for estimating the population mean of a study variate using double sampling for stratification based on auxiliary information. Expressions for bias and variance of the proposed classes of estimators up to the first degree of approximation are derived. An asymptotically optimum estimator in the classes is identified with their approximate variance formulae. The proposed classes of estimators are compared with the corresponding class of estimators based on unstratified double sampling.

Keywords: Auxiliary variate, study variate, double sampling for stratification, bias, variance

DOI: 10.3233/MAS-2007-2405

Journal: Model Assisted Statistics and Applications, vol. 2, no. 4, pp. 225-237, 2007