Applications of Multivariate Polykays to the Theory of Unbiased Ratio-Type Estimation 论文
1957Journal of the American Statistical Association引用 221
Statistical Methods and Bayesian InferenceStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture Models
摘要
Abstract The multivariate polykays, or multipart k-statistics, are obtained as a slight extension of results given by Tukey [4] for the univariate polykays. The relationship between this system and the system of multivariate symmetric means is indicated and multiplication formulas are given. An application of these results to the construction of unbiased ratio-type estimators and variance estimates for finite populations is given as a further illustration of the usefulness of polykays.