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同质总体规模的植入捕获估计AI 解读

We consider maximum likelihood estimation of the size of a target population to which has been added a known number of planted individuals. The standard equal-catchability model used in mark-recapture is assumed to be applicable to the augmented population. After proving the unimodality of the profile likelihood for the target population size, we obtain both the maximum likelihood estimator of this size and interval estimators based on its asymptotic distribution.

重捕获调试的似然停止规则AI 解读

Consideration is given to determining when all the faults in a reliability system have been detected, assuming the use of the recapture debugging procedure introduced by Nayak (1988). A stopping rule based on the likelihood ratio is proposed. Compared to the stopping rule suggested by Nayak, this likelihood-based rule makes better use of the available information, and, for a given error level, yields a small reduction in the average time taken to reach a decision. A…

再捕获调试中的似然停止规则AI 解读

Consideration is given to determining when all the faults in a reliability system have been detected, assuming the use of the recapture debugging procedure introduced by Nayak (1988). A stopping rule based on the likelihood ratio is proposed. Compared to the stopping rule suggested by Nayak, this likelihood-based rule makes better use of the available information, and, for a given error level, yields a small reduction in the average time taken to reach a decision. A…

线性纯死亡过程的初始规模估计AI 解读

Consider a linear pure death process in which the common death rate and the initial size n of the population are both unknown. An estimate of n is required, based on the observed times of the first j deaths, i.e. with censored sampling. It is shown that the only reliable non-Bayesian method is to use interval estimates, for all the standard point estimation techniques are liable to fail. Appropriate interval estimators are derived and discussed. The corresponding truncated…

线性纯死亡过程的初始规模估计AI 解读

Consider a linear pure death process in which the common death rate and the initial size n of the population are both unknown. An estimate of n is required, based on the observed times of the first j deaths, i.e. with censored sampling. It is shown that the only reliable non-Bayesian method is to use interval estimates, for all the standard point estimation techniques are liable to fail. Appropriate interval estimators are derived and discussed. The corresponding truncated…