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- Title
An Optimum Multivariate-Multiobjective Stratified Sampling Design: Fuzzy Programming Approach.
- Authors
Varshney, Rahul; Gupta, Srikant; Ali, Irfan
- Abstract
In stratified sampling design when the cost of measuring the units is not significant in each stratum, the estimation of population mean or total constructed from a selected sample according to Neyman allocation is advisable. In general the practical use of Neyman allocation suffers from a number of limitations, when there is no information about strata standard deviations except about the equality of standard deviations between some of the strata, then the precision of the estimate may be increased by pooling the strata with equal standard deviations as a single stratum and the problem of allocation is resolved by using Neyman and proportional allocations simultaneously. In this paper the case of multiple pooling of the standard deviations of the estimates in a multivariate stratified sampling for more than three strata. The problem is formulated as a Multiobjective Nonlinear Programming Problem and its solution procedure is suggested by using Fuzzy Programming approach.
- Subjects
MULTIVARIATE analysis; MULTIPLE criteria decision making; STATISTICAL sampling; FUZZY sets; NONLINEAR programming
- Publication
Pakistan Journal of Statistics & Operation Research, 2017, Vol 13, Issue 4, p829
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v13i4.1834