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生物学中的随机化与蒙特卡洛方法AI 解读

Part 1 Randomization tests and confidence intervals: the idea of a randomization test examples of a randomization test aspects of randomization testing raised by the examples confidence intervals from randomization. Part 2 Monte Carlo and other computer intensive methods: Monte Carlo tests jackknifing bootstrapping bootstrap tests of significance and confidence intervals. Part 3 Some general considerations: power determining how many randomizations are needed determining a…

偏群时延的估计AI 解读

The partial group delay between two channels of a multiple time series has an interpretation as the time lag between frequency components of the two channels after adjustments have been made for the influence of the remaining channels. A procedure for estimating partial group delay is proposed, and conditions for consistency and asymptotic normality of the estimating sequence are obtained.

偏群时延的估计AI 解读

The partial group delay between two channels of a multiple time series has an interpretation as the time lag between frequency components of the two channels after adjustments have been made for the influence of the remaining channels. A procedure for estimating partial group delay is proposed, and conditions for consistency and asymptotic normality of the estimating sequence are obtained.

两组多重时间序列之间共同群时延的估计AI 解读

The group delay at frequency λ between two univariate time series represents the time lag of the harmonic component at frequency λ of the first series behind the corresponding harmonic component of the second series. This article proposes an estimate of group delay under conditions that arise in dendrochronology where each of A tree ring time series shares a common group delay with each of B other tree ring time series and where the common group delay is constant over a…

两组多重时间序列共同群延迟的估计AI 解读

The group delay at frequency λ between two univariate time series represents the time lag of the harmonic component at frequency λ of the first series behind the corresponding harmonic component of the second series. This article proposes an estimate of group delay under conditions that arise in dendrochronology where each of A tree ring time series shares a common group delay with each of B other tree ring time series and where the common group delay is constant over a…

基于经验概率测度的拟合优度检验AI 解读

A goodness-of-fit test is proposed for the simple hypothesis specifying a continuous $p$-variate distribution. For a suitably defined empirical probability measure, the proposed test is based on the supremum of the absolute differences between hypothesized and empirical probabilities, the supremum being taken over all possible events. This test statistic is shown to be distribution free in the general $p$-variate case, its exact null distribution is indicated, and its…

模型错误时似然比检验的表现AI 解读

Let the random variable $X$ have a distribution depending on a parameter $\theta \in \Theta$. Consider the problem of testing the hypothesis $H: \Theta_0 \subseteqq \Theta$ based on a sequence of observations on $X$. The likelihood ratio test for $H$ is constructed by selecting a model for the unknown distribution of $X$. In this paper the asymptotic performance of the likelihood ratio test is studied when the model is incorrect, that is, when the probability distribution of…

似然方程唯一一致解的存在性AI 解读

Existence of a unique consistent solution to the likelihood equations is obtained as a consequence of the Inverse Function Theorem. The approach differs from those already in the literature by showing existence and uniqueness in one argument. The argument deals directly with the vector parameter case rather than with extending single parameter arguments.