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家庭群体中随机多类型流行病的阈值参数与安全接种覆盖率估计AI 解读

This paper is concerned with estimation of the threshold parameter R* for a stochastic model for the spread of a susceptible → infective → removed epidemic among a closed, finite population that contains several types of individual and is partitioned into households. It turns out that R* cannot be estimated consistently from final outcome data, so a Perron–Frobenius argument is used to obtain sharp lower and upper bounds for R*, which can be estimated consistently.…

考虑短停留区间漏检的单离子通道两状态马尔可夫模型推断AI 解读

SUMMARY A two-state Markov model of a single ion channel, in which successive open and closed sojourns follow negative exponential distributions with respective means μO and μC, is considered. Estimation of (μO μC) when brief sojourns in the open and closed states fail to be detected is studied. The moment estimating equations for (μO, μC) have no, one or two solutions, with two being the most common situation. The asymptotic behaviour of method-of-moments estimators of (μO,…