Estimation of Finite Population Mean in Multivariate Stratified Sampling under Cost Function Using Goal Programming

Atta Ullah, Javid Shabbir, Zawar Hussain and Bander Al-Zahrani

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: In practical utilization of stratified random sampling scheme, the investigator meets a problem to select a sample that maximizes the precision of a finite population mean under cost constraint. An allocation of sample size becomes complicated when more than one characteristic is observed from each selected unit in a sample. In many real life situations, a linear cost function of a sample size nh is not a good approximation to actual cost of sample survey when traveling cost between selected units in a stratum is significant. In this paper, sample allocation problem in multivariate stratified random sampling with proposed cost function is formulated in integer nonlinear multiobjective mathematical programming. A solution procedure is proposed using extended lexicographic goal programming approach. A numerical example is presented to illustrate the computational details and to compare the efficiency of proposed compromise allocation.

Date: 2014
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https://doi.org/10.1155/2014/686579

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:686579

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