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Approximations to the maximum likelihood estimate in some pure birth processes

若干纯生过程中最大似然估计的近似

We present two simple approximations, one an extension of that given by Choi & Severo (1988), to the maximum likelihood estimate of a parameter λ in the class of birth processes in which the growth rate is the product of λ and some known function of the population size. The data are population sizes taken at a discrete set of time points. The Yule process is discussed in some detail.

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An Approximation for the Maximum Likelihood Estimator of the Infection Rate in the Simple Stochastic Epidemic

简单随机传染病模型感染率极大似然估计的近似

Hill & Severo (1969) and Kryscio (1972) present approximations to the maximum likelihood estimator of the infection rate of the simple stochastic epidemic model. These approximations, valid under some restrictions on the data set, use a table published by Hill & Severo (1969). We give here an algebraically simpler approximation, which does not use an auxiliary table and may be applied to all data sets.

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An approximation for the maximum likelihood estimator of the infection rate in the simple stochastic epidemic

简单随机流行病模型中感染率最大似然估计的近似

Hill & Severo (1969) and Kryscio (1972) present approximations to the maximum likelihood estimator of the infection rate of the simple stochastic epidemic model. These approximations, valid under some restrictions on the data set, use a table published by Hill & Severo (1969). We give here an algebraically simpler approximation, which does not use an auxiliary table and may be applied to all data sets.

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A Two-Stage Estimation Procedure when There May be Spurious Observations

可能存在异常观测时的两阶段估计程序

In laboratories where blood samples are analyzed, it is common to use a two-stage procedure for estimating a reaction time. The procedure consists of making two independent determinations and if they differ by more than d units, a third determination is made. In the case of a third determination, one of the first two is discarded and the estimate is the average of the retained observations. Assuming that each observation is, with some probability, a spurious one the bias and…

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A two-stage estimation procedure when there may be spurious observations

可能存在异常观测时的两阶段估计程序

In laboratories where blood samples are analyzed, it is common to use a two-stage procedure for estimating a reaction time. The procedure consists of making two independent determinations and if they differ by more than d units, a third determination is made. In the case of a third determination, one of the first two is discarded and the estimate is the average of the retained observations. Assuming that each observation is, with some probability, a spurious one the bias and…

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