Small-sample properties of finite population ratios
Abdul J. Sankoh · Communications in Statistics - Simulation and Computation · 1995
Employing Bayesian finite population resampling techniques [referred to as finite population Bayesian bootstrap, FPBB, by Lo 1988], asymptotic posterior distributions of a linear combination of functions of stratum ratios and the corresponding confidence interval estimates are approximated. A straight forward algorithm is provided for the evaluation of the performance of the FPBB approximations to the asymptotic posterior distributions. Monte Carlo simulation is used to construct confidence interval estimates based on the FPBB method and to (graphically) demonstrate the performance of the FPBB method inapproximating the asymptotic posterior distributions of functions of ratios using Efron's (1982) Law School data. The results of the Monte Carlo investigations indicate that the FPBB based interval estimates compare favorably with the usual large-sample Bayesian interval estimates even for moderate bootstrap samples