Optimum allocation in multivariate stratified sampling design in the presence of nonresponse with Gamma cost function |
| |
Authors: | R Varshney Mradula |
| |
Institution: | 1. Department of Statistics, School of Physical &2. Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, India |
| |
Abstract: | In multivariate stratified sample survey with L strata, let p-characteristics are defined on each unit of the population. To estimate the unknown p-population means of each characteristic, a random sample is taken out from the population. In multivariate stratified sample survey, the optimum allocation of any characteristic may not be optimum for others. Thus the problem arises to find out an allocation which may be optimum for all characteristics in some sense. Therefore a compromise criterion is needed to workout such allocation. In this paper, the procedure of estimation of p-population means is discussed in the presence of nonresponse when the use of linear cost function is not advisable. A solution procedure is suggested by using lexicographic goal programming problem. The numerical illustrations are given for its practical utility. |
| |
Keywords: | Multivariate stratified sample survey nonresponse compromise allocation lexicographic goal programming Gamma cost function |
|
|