Bakhtin
Yuri
We suggest an explanation of typical incubation times statistical features based on the universal behavior of exit times for diffusion models. We give a mathematically rigorous proof of the characteristic right skewness of the incubation time distribution for very general one-dimensional diffusion models. Imposing natural simple conditions on the drift coefficient, we also study these diffusion models under the assumption of noise smallness and show that the limiting exit time distributions in the limit of vanishing noise are Gaussian and Gumbel. Thus, they match the existing data as well as the other existing models do. The character of our models, however, allows us to argue that the features of the exit time distributions that we describe are universal and manifest themselves in various other situations where the times involved can be described as detection or halting times, for example response times studied in psychology.
true
2019-04-11T10:31
2019-04-01
research_article
articles
https://link.springer.com/10.1007%2Fs11538-018-00558-w
Universal Statistics of Incubation Periods and Other Detection Times via Diffusion Models
https://scigraph.springernature.com/explorer/license/
en
2019-04
1070-1088
10.1007/s11538-018-00558-w
doi
4
Statistics
Bulletin of Mathematical Biology
1522-9602
0092-8240
pub.1110708175
dimensions_id
pubmed_id
30560441
Mathematical Sciences
Springer Nature - SN SciGraph project
readcube_id
237cfc0003a215a6949c1fb9c522dea9bf644bad56bed99ce884d1313c587602
nlm_unique_id
0401404
Courant Institute of Mathematical Sciences, New York, USA
Courant Institute of Mathematical Sciences
81