Several Properties of a Nonstandard Renewal Counting Process and Their Applications.

Autor: Li, Rong, Bi, Xiuchun, Zhang, Shuguang
Zdroj: Journal of Systems Science & Complexity; Feb2020, Vol. 33 Issue 1, p122-136, 15p
Abstrakt: This paper proposes a nonstandard renewal counting process based on web Markov skeleton process, called web renewal process, which allows applications in the field of natural science and social science. Parallel with the standard renewal counting process, some properties of the web renewal process and the corresponding web renewal reward processes, are investigated. Several limit properties, including the tail of the exponential moments of the web renewal process, and the results of precise large deviations and moderate deviations for the web renewal reward processes are derived. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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