A general statistical model for waiting times until collapse of a system

Vivianne Olguín-Arias, Sergio Davis and Gonzalo Gutiérrez

Physica A: Statistical Mechanics and its Applications, 2021, vol. 561, issue C

Abstract: The distribution of waiting times until the occurrence of a critical event is a crucial statistical problem across several disciplines in Science. In this work we present a statistical model in which a relevant quantity X accumulates until overcoming a threshold X∗, which defines the collapse. The obtained waiting time distribution is a mixture of gamma distributions, which in turn can be approximated as an effective gamma distribution.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306257

DOI: 10.1016/j.physa.2020.125198

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