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平移原点三参数模型中区间删失数据的最大似然估计存在性AI 解读

SUMMARY Given data in the form of interval-censored observations from a three-parameter distribution, practical criteria are established for the existence of maximum likelihood estimates for three kinds of parameter space. These criteria can be derived by analysing the behaviour of the log-likelihood near a type of boundary of the parameter space, called the probability contents inner boundary. The effectiveness of the criteria is discussed. In the case where the underlying…

测量误差模型的修正得分函数及其广义线性模型应用AI 解读

Statistical models whose independent variables are subject to measurement errors are often referred to as ‘errors-in-variables models’. To correct for the effects of measurement error on parameter estimation, this paper considers a correction for score functions. A corrected score function is one whose expectation with respect to the measurement error distribution coincides with the usual score function based on the unknown true independent variables. This approach makes it…