Approximation method in finding optimum stratum depending on Neyman allocation applied on Beta distribution

摘要

The problem of optimum stratification on the auxiliary variable y for Neyman allocation has been considered. A Taylor Expansion rule of finding approximately optimum strata boundaries and general formulas for stratum weight, stratum mean and variance mean depending on Neyman Allocation have been suggested for Beta distribution. A numerical investigation into the boundaries stratum and variance mean of Neyman allocation with respect to optimum allocation has also been made for different values to the parameter Beta distribution.