Estimation of more than one parameters in stratified sampling with fixed budget |
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Authors: | Rahul Varshney Najmussehar M J Ahsan |
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Institution: | 1. Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, 202 002, U.P., India
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Abstract: | In a multivariate stratified sampling more than one characteristic are defined on every unit of the population. An optimum
allocation which is optimum for one characteristic will generally be far from optimum for others. A compromise criterion is
needed to work out a usable allocation which is optimum, in some sense, for all the characteristics. When auxiliary information
is also available the precision of the estimates of the parameters can be increased by using it. Furthermore, if the travel
cost within the strata to approach the units selected in the sample is significant the cost function remains no more linear.
In this paper an attempt has been made to obtain a compromise allocation based on minimization of individual coefficients
of variation of the estimates of various characteristics, using auxiliary information and a nonlinear cost function with fixed
budget. A new compromise criterion is suggested. The problem is formulated as a multiobjective all integer nonlinear programming
problem. A solution procedure is also developed using goal programming technique. |
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Keywords: | |
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