Some results for the delayed renewal function

Stathis Chadjiconstantinidis ()
Additional contact information
Stathis Chadjiconstantinidis: University of Piraeus

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 6, No 6, 873-920

Abstract: Abstract In this paper, the delayed or modified renewal function is examined in some detail. Some properties, a characterization and an improved asymptotic result are discussed. Also, we obtain some “general” upper and lower bounds for the delayed renewal function in the sense that the bounds are valid for any arbitrary distributions of the inter-arrival times, as well as bounds when the distributions of the interarrival times belong to some non-parametric families of distributions, satisfying an aging property. Some bounds for the delayed renewal function which are based on stochastic comparisons of the interarrival times, are also given.

Keywords: Delayed or modified renewal function; Renewal-type equation; Compound geometric distribution; Convolution of compound geometric distribution; Asymptotics; Bounds; Aging properties; Stochastic order; 60K05; 60K10 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00184-024-00977-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:88:y:2025:i:6:d:10.1007_s00184-024-00977-x

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/184/PS2

DOI: 10.1007/s00184-024-00977-x

Access Statistics for this article

Metrika: International Journal for Theoretical and Applied Statistics is currently edited by U. Kamps and Norbert Henze

More articles in Metrika: International Journal for Theoretical and Applied Statistics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().