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方差分量的最优无偏估计AI 解读

One: The Basic Model and the Estimation Problem.- 1.1 Introduction.- 1.2 An Example.- 1.3 The Matrix Formulation.- 1.4 The Estimation Criteria.- 1.5 Properties of the Criteria.- 1.6 Selection of Estimation Criteria.- Two: Basic Linear Technique.- 2.1 Introduction.- 2.2 The vec and mat Operators.- 2.3 Useful Properties of the Operators.- Three: Linearization of the Basic Model.- 3.1 Introduction.- 3.2 The First Linearization.- 3.3 Calculation of var(y).- 3.4 The Second…

正态均值比的同时置信区间AI 解读

Given one or more groups of multivariate normal samples, methods are presented for forming simultaneous confidence intervals of all ratios of linear forms of the mean vectors. The methods cover the cases of equal or unequal covariances. In a simultaneous inference context, they are multivariate extensions of a method due to Fieller (1954) for estimation of the ratio of two normal means.