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2016 Tightness for processes with fixed points of discontinuities and applications in varying environment
Vincent Bansaye, Thomas G. Kurtz, Florian Simatos
Electron. Commun. Probab. 21: 1-9 (2016). DOI: 10.1214/16-ECP6

Abstract

We establish a sufficient condition for the tightness of a sequence of stochastic processes. Our condition makes it possible to study processes with accumulations of fixed times of discontinuity. Our motivation comes from the study of processes in varying or random environment. We demonstrate the usefulness of our condition on two examples: Galton Watson branching processes in varying environment and logistic branching processes with catastrophes.

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Vincent Bansaye. Thomas G. Kurtz. Florian Simatos. "Tightness for processes with fixed points of discontinuities and applications in varying environment." Electron. Commun. Probab. 21 1 - 9, 2016. https://doi.org/10.1214/16-ECP6

Information

Received: 1 March 2016; Accepted: 13 June 2016; Published: 2016
First available in Project Euclid: 2 December 2016

zbMATH: 1352.60005
MathSciNet: MR3580450
Digital Object Identifier: 10.1214/16-ECP6

Subjects:
Primary: 60B10

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