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About quasi-renewal processes and quasi-regenerative processes

Published 30 Dec 2021 in math.PR | (2112.15225v2)

Abstract: We discuss the concepts of quasi-renewal and quasi-regenerative processes. We also propose a method for obtaining the upper bounds for the convergence rate of the distribution of a regenerative and quasi-regenerative process to a stationary distribution, if this process is ergodic. The second version of the text has been corrected and significantly expanded.

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