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线性函数关系似然曲面的鞍点AI 解读

Summary In a recent paper Solari has shown that there is no maximum-likelihood solution to the problem of estimating a linear functional relationship when both variates are subject to errors that have an unspecified bivariate normal distribution. The estimators purporting to be maximum-likelihood estimators were shown by Solari to determine a saddle point. This discovery clears up some anomalies that have been noted in the past.

线性函数关系的广义最小二乘方法AI 解读

Summary A linear functional relationship between mathematical variables is postulated. The problem considered is the estimation of this relationship given observed random variate values, various assumptions being made about the distribution of the departures of these from the corresponding mathematical variable values. The least-squares principle is generalized to deal with cases in which these departures are correlated. The bivariate case is considered in detail. Extension…