Multiobjective Stochastic Multivariate Stratified Sampling in Presence of Nonresponse

作     者：Haseen, Sanam Ali, Irfan Bari, Abdul 

作者机构：Aligarh Muslim Univ Dept Stat & Operat Res Aligarh Uttar Pradesh India 

出 版 物：《COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION》 (统计学通讯：模拟与计算)

年 卷 期：2016年第45卷第8期

页      面：2810-2826页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 

主　　题：D-1 distance method Fuzzy programming Goal programming Modified E-model Multivariate sampling survey Nonresponse Stochastic modeling 

摘      要：The case of nonresponse in multivariate stratified sampling survey was first introduced by Hansen and Hurwitz in 1946 considering the sampling variances and costs to be deterministic. However, in real life situations sampling variance and cost are often random (stochastic) and have probability distributions. In this article, we have formulated the multivariate stratified sampling in the presence of nonresponse with random sampling variances and costs as a multiobjective stochastic programming problem. Here, the sampling variance and costs are considered random and converted into a deterministic NLPP by using chance constraint and modified E-model. A solution procedure using three different approaches are adopted viz. goal programming, fuzzy programming, and D-1 distance method to obtain the compromise allocation for the formulated problem. An empirical study has also been provided to illustrate the computational details.