Abstract
We obtain new bounds for the renewal function, as well as for the expected number of renewals over an interval \((t,t+h]\). Improved bounds are given when the interarrival distribution belongs to certain aging classes. Our results are compared with existing ones in the literature, both theoretically and with the aid of numerical resuts.
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Acknowledgements
We wish to thank both the Associate Editor and a referee for their helpful comments and suggestions which have improved considerably the clarity in the presentation of our results.
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Losidis, S., Politis, K. Bounds for the Renewal Function and Related Quantities. Methodol Comput Appl Probab 24, 2647–2660 (2022). https://doi.org/10.1007/s11009-022-09953-2
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DOI: https://doi.org/10.1007/s11009-022-09953-2