Compromise Allocation for Combined Ratio Estimates of Population Means of a Multivariate Stratified Population Using Double Sampling in Presence of Non-Response

Sana Iftekhar, Qazi Mazhar Ali, Mohammad Jameel Ahsan

Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India.

DOI: 10.4236/ojop.2014.34007                

Abstract

This paper is an attempt to work out a compromise allocation to construct combined ratio estimates under multivariate double sampling design in presence of non-response when the population mean of the auxiliary variable is unknown. The problem has been formulated as a multi-objective integer non-linear programming problem. Two solution procedures are developed using goal programming and fuzzy programming techniques. A numerical example is also worked out to illustrate the computational details. A comparison of the two methods is also carried out.

Keywords

Multivariate Stratified Sampling, Compromise Allocation, Non-Response, Double Sampling Goal Programming, Fuzzy Programming

Conflicts of Interest

The authors declare no conflicts of interest.

References

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