Cargando…
Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics
We compute exact values respectively bounds of dissimilarity/distinguishability measures–in the sense of the Kullback-Leibler information distance (relative entropy) and some transforms of more general power divergences and Renyi divergences–between two competing discrete-time Galton-Watson branchin...
Autores principales: | , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517477/ https://www.ncbi.nlm.nih.gov/pubmed/33286645 http://dx.doi.org/10.3390/e22080874 |
_version_ | 1783587234787622912 |
---|---|
author | Kammerer, Niels B. Stummer, Wolfgang |
author_facet | Kammerer, Niels B. Stummer, Wolfgang |
author_sort | Kammerer, Niels B. |
collection | PubMed |
description | We compute exact values respectively bounds of dissimilarity/distinguishability measures–in the sense of the Kullback-Leibler information distance (relative entropy) and some transforms of more general power divergences and Renyi divergences–between two competing discrete-time Galton-Watson branching processes with immigration GWI for which the offspring as well as the immigration (importation) is arbitrarily Poisson-distributed; especially, we allow for arbitrary type of extinction-concerning criticality and thus for non-stationarity. We apply this to optimal decision making in the context of the spread of potentially pandemic infectious diseases (such as e.g., the current COVID-19 pandemic), e.g., covering different levels of dangerousness and different kinds of intervention/mitigation strategies. Asymptotic distinguishability behaviour and diffusion limits are investigated, too. |
format | Online Article Text |
id | pubmed-7517477 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75174772020-11-09 Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics Kammerer, Niels B. Stummer, Wolfgang Entropy (Basel) Article We compute exact values respectively bounds of dissimilarity/distinguishability measures–in the sense of the Kullback-Leibler information distance (relative entropy) and some transforms of more general power divergences and Renyi divergences–between two competing discrete-time Galton-Watson branching processes with immigration GWI for which the offspring as well as the immigration (importation) is arbitrarily Poisson-distributed; especially, we allow for arbitrary type of extinction-concerning criticality and thus for non-stationarity. We apply this to optimal decision making in the context of the spread of potentially pandemic infectious diseases (such as e.g., the current COVID-19 pandemic), e.g., covering different levels of dangerousness and different kinds of intervention/mitigation strategies. Asymptotic distinguishability behaviour and diffusion limits are investigated, too. MDPI 2020-08-08 /pmc/articles/PMC7517477/ /pubmed/33286645 http://dx.doi.org/10.3390/e22080874 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Kammerer, Niels B. Stummer, Wolfgang Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title | Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title_full | Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title_fullStr | Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title_full_unstemmed | Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title_short | Some Dissimilarity Measures of Branching Processes and Optimal Decision Making in the Presence of Potential Pandemics |
title_sort | some dissimilarity measures of branching processes and optimal decision making in the presence of potential pandemics |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517477/ https://www.ncbi.nlm.nih.gov/pubmed/33286645 http://dx.doi.org/10.3390/e22080874 |
work_keys_str_mv | AT kammerernielsb somedissimilaritymeasuresofbranchingprocessesandoptimaldecisionmakinginthepresenceofpotentialpandemics AT stummerwolfgang somedissimilaritymeasuresofbranchingprocessesandoptimaldecisionmakinginthepresenceofpotentialpandemics |