Work

On the joint right-tail distribution of the forward and backward recurrence times in a delayed renewal process

Year: 2026

Type: article

Abstract: In this paper, we study the joint distribution of the forward and backward recurrence times in a delayed renewal process, as well as their marginal distributions. We obtain several exact results and bounds for these quantities. Some of these bounds are “general,” in the sense that the bounds are valid for any arbitrary distributions of the inter-arrival times, and some are based on aging properties of the distributions of the interarrival times of the renewals. Finally, several numerical examples are presented to illustrate the results.

Source: Probability in the Engineering and Informational Sciences

DOI: 10.1017/s0269964825100144

Authors: Stathis Chadjiconstantinidis, Sotirios Losidis

Institution: University of Piraeus

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

OpenAlex ID: W7122651893