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Logistic模型与潜在结构的估计AI 解读

Consider the logistic model for dichotomous response involving a group of individuals with varying levels of ability and a set of items with varying degrees of difficulty. This article is concerned with estimating the parameters of the latent ability distribution for any given group of individuals. An iterative procedure for obtaining maximum likelihood estimates of these parameters based on the missing information principle is presented and illustrated with real data. The…

截断样本的原始规模估计AI 解读

Consider N (unknown) values of a variable X (discrete or continuous) independently sampled from a distribution with density f(x, θ), where θ is an unknown vector parameter. Suppose that the values of X belonging to a certain region R are not observable. This article deals with the problem of estimating N and θ in such situations which arise, for instance, in life testing and capture-recapture census. Asymptotic theory for maximum likelihood estimation of N and θ is presented…

截断样本的总体样本量估计AI 解读

Consider N (unknown) values of a variable X (discrete or continuous) independently sampled from a distribution with density f(x, θ), where θ is an unknown vector parameter. Suppose that the values of X belonging to a certain region R are not observable. This article deals with the problem of estimating N and θ in such situations which arise, for instance, in life testing and capture-recapture census. Asymptotic theory for maximum likelihood estimation of N and θ is presented…