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捕获—再捕获实验中泊松与多项模型的统计推断AI 解读

The classical multinomial model used for estimating the size of a closed population is compared to the highly flexible Poisson models introduced by Cormack (1981). The multinomial model, and generalizations of it which allow for dependence between samples, may be obtained from that of Cormack by conditioning on the population size. The maximum likelihood estimators for N, the population size, and θ, the vector of parameters describing the capture process, are the same in…

目击概率可能相关时标记种群生存概率的估计AI 解读

A simply parameterized class of models for the estimation of survival probability in a marked population is introduced which allows tests of dependence between sighting probabilities and constancy of survival or sighting probabilities. Estimation and hypothesis testing based on the likelihood function are discussed. By simulation, the asymptotic properties of the test for dependence are shown to hold for quite modest sample sizes. The degree of bias in estimation of survival…

目击概率可能相关时标记种群的存活率估计AI 解读

A simply parameterized class of models for the estimation of survival probability in a marked population is introduced which allows tests of dependence between sighting probabilities and constancy of survival or sighting probabilities. Estimation and hypothesis testing based on the likelihood function are discussed. By simulation, the asymptotic properties of the test for dependence are shown to hold for quite modest sample sizes. The degree of bias in estimation of survival…

具有相关误差的一般线性模型的递归估计AI 解读

Summary The techniques for recursive estimation of the general linear model are extended to the case of dependent errors with known second-order properties. Recurrence relations for computation and a sequence of independent recursive residuals, useful for testing the constancy of the regression relation over time, are derived and studied. Computational savings are available when the error process is stationary.