Translator Disclaimer
June 2016 Population models at stochastic times
Enzo Orsingher, Costantino Ricciuti, Bruno Toaldo
Author Affiliations +
Adv. in Appl. Probab. 48(2): 481-498 (June 2016).

Abstract

In this paper we consider time-changed models of population evolution Xf(t) = X(Hf(t)), where X is a counting process and Hf is a subordinator with Laplace exponent f. In the case where X is a pure birth process, we study the form of the distribution, the intertimes between successive jumps, and the condition of explosion (also in the case of killed subordinators). We also investigate the case where X represents a death process (linear or sublinear) and study the extinction probabilities as a function of the initial population size n0. Finally, the subordinated linear birth–death process is considered. Special attention is devoted to the case where birth and death rates coincide; the sojourn times are also analysed.

Citation

Download Citation

Enzo Orsingher. Costantino Ricciuti. Bruno Toaldo. "Population models at stochastic times." Adv. in Appl. Probab. 48 (2) 481 - 498, June 2016.

Information

Published: June 2016
First available in Project Euclid: 9 June 2016

zbMATH: 1344.60083
MathSciNet: MR3511772

Subjects:
Primary: 60G22
Secondary: 60G55

Keywords: fractional birth process , linear death process , Nonlinear birth process , random time , sojourn time , sublinear death process

Rights: Copyright © 2016 Applied Probability Trust

JOURNAL ARTICLE
18 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.48 • No. 2 • June 2016
Back to Top