The correlation parameter of renewal processes and structures with positive and negative periodicity

Автор: Chichigina O.A.
Журнал: Journal of Statistical Mechanics: Theory and Experiment
Том: 1
Номер: 9
Год издания: 2023
Издательство: IOP Publishing
Местоположение издательства: [Bristol, UK], England
Первая страница: 093205-1
Последняя страница: 093205-16
Номер статьи: 093205
DOI: 10.1088/1742-5468/acf8bb
Аннотация: The correlation parameter as a generalization of the concepts of correlation time and correlation length is calculated for the renewal point structure by studying the spectral density. This structure is a generalization of the renewal process and is characterized by the probability distribution of distances between neighboring points. These distances can be negative. A non-monotonic dependence of the correlation parameter on the periodicity parameter is obtained.The results of calculating correlation parameters using spectral densities for various renewal structures are in good agreement with the results of the general formula for quasi-symmetric distributions.
Добавил в систему: Чичигина Ольга Александровна

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