Optimal stratification in stratified designs using weibull - distributed auxiliary information

Reddy, Karuna G. and Khan, Mohammad G.M. (2018) Optimal stratification in stratified designs using weibull - distributed auxiliary information. Communications in Statistics: Theory and Methods, NA . NA. ISSN 0361-0926

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Abstract

Sampling has evolved into a universally accepted approach for gathering information and data mining as it is widely accepted that a reasonably modest-sized sample can sufficiently characterize a much larger population. In stratified sampling designs, the whole population is divided into homogeneous strata in order to achieve higher precision in the estimation. This paper proposes an efficient method of constructing optimum stratum boundaries (OSB) and determining optimum sample size (OSS) for the survey variable. The survey variable may not be available in practice since the variable of interest is unavailable prior to conducting the survey. Thus, the method is based on the auxiliary variable which is usually readily available from past surveys. To illustrate the application as an example using a real data, the auxiliary variable considered for this problem follows Weibull distribution. The stratification problem is formulated as a Mathematical Programming Problem (MPP) that seeks minimization of the variance of the estimated population parameter under Neyman allocation. The solution procedure employs the dynamic programming technique, which results in substantial gains in the precision of the estimates of the population characteristics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Komal Devi
Date Deposited:	19 Feb 2019 00:09
Last Modified:	19 Feb 2019 00:12
URI:	http://repository.usp.ac.fj/id/eprint/11330

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