Literature DB >> 26622074

Coupling bounds for approximating birth-death processes by truncation.

Forrest W Crawford1, Timothy C Stutz2, Kenneth Lange3.   

Abstract

Birth-death processes are continuous-time Markov counting processes. Approximate moments can be computed by truncating the transition rate matrix. Using a coupling argument, we derive bounds for the total variation distance between the process and its finite approximation.

Entities:  

Year:  2016        PMID： 26622074      PMCID： PMC4662656          DOI： 10.1016/j.spl.2015.10.013

Source DB:  PubMed          Journal:  Stat Probab Lett        ISSN： 0167-7152            Impact factor:   0.870


  4 in total

1.  Moment closure and the stochastic logistic model.

Authors:  Ingemar Nåsell
Journal:  Theor Popul Biol       Date:  2003-03       Impact factor: 1.570

Review 2.  Biological applications of the theory of birth-and-death processes.

Authors:  Artem S Novozhilov; Georgy P Karev; Eugene V Koonin
Journal:  Brief Bioinform       Date:  2006-03       Impact factor: 11.622

3.  Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution.

Authors:  Forrest W Crawford; Marc A Suchard
Journal:  J Math Biol       Date:  2011-10-09       Impact factor: 2.259

4.  Estimation for general birth-death processes.

Authors:  Forrest W Crawford; Vladimir N Minin; Marc A Suchard
Journal:  J Am Stat Assoc       Date:  2014-04       Impact factor: 5.033
  4 in total
  2 in total

1.  Computational methods for birth-death processes.

Authors:  Forrest W Crawford; Lam Si Tung Ho; Marc A Suchard
Journal:  Wiley Interdiscip Rev Comput Stat       Date:  2018-01-02

2.  Birth/birth-death processes and their computable transition probabilities with biological applications.

Authors:  Lam Si Tung Ho; Jason Xu; Forrest W Crawford; Vladimir N Minin; Marc A Suchard
Journal:  J Math Biol       Date:  2017-07-24       Impact factor: 2.259
  2 in total

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