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平稳点过程中事件间隔的连续时间谱分析AI 解读

Summary The sequence of intervals between events in a stationary point process is considered as a process in continuous time. Expressions are given for a covariance function and the corresponding spectrum. Some examples are given to illustrate that the properties of the intervals as a process in continuous time are not the same as those of the intervals as a sequence. The methods developed are used to analyse a process consisting of times of R peaks in an electrocardiogram…

平稳双变量点过程中事件间隔的谱分析AI 解读

Summary A method is developed for analysing stationary bivariate point processes through their interval properties. The technique is based on representing the intervals as processes in continuous time. Expressions for a cross-covariance function and the corresponding cross-spectrum are given and some examples are considered. We note that use of this technique together with the device of smoothing makes computation of spectral estimates for point processes more efficient.