On the expected maximum of a birth-and-death process

Leonardo A. Videla

Statistics & Probability Letters, 2020, vol. 158, issue C

Abstract: We describe a simple continuous time process obtained by pointwise addition of finitely many i.i.d. 0–1 processes with alternating exponential regimes. We investigate the asymptotic mean value of the maxima (the peaks) reached within the non-zero zones. In this short communication we show that the computation of this quantity leads to a transcendental equation that, to the best of our knowledge, has not appeared before in the literature.

Keywords: Birth-and-death processes; Inverse binomial; Maximum distribution (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715219303116
Full text for ScienceDirect subscribers only

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:eee:stapro:v:158:y:2020:i:c:s0167715219303116

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2019.108665

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().