Bayesian inference of mixed-effects ordinary differential equations models using heavy-tailed distributions

Author:

Liu Baisen,Wang Liangliang,Nie Yunlong,Cao JiguoORCID

Funder

Liaoning Provincial Education Department, China

Natural Sciences and Engineering Research Council of Canada (NSERC)

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Statistics and Probability

Reference49 articles.

1. Scale mixtures of normal distributions;Andrews;J. Roy. Stat. Soc. Ser. B,1974

2. The Skew-Normal and Related Families;Azzalini,2014

3. Bayesian two-step estimation in differential equation models;Bhaumik;Electron. J. Stat.,2015

4. Parametric estimation of ordinary differential equations with orthogonality conditions;Brunel;J. Amer. Statist. Assoc.,2014

5. Numerical Analysis;Burden,2000

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2. Semiparametric Mixed-Effects Ordinary Differential Equation Models with Heavy-Tailed Distributions;Journal of Agricultural, Biological and Environmental Statistics;2021-04-05

3. Differential equations in data analysis;WIREs Computational Statistics;2020-11-30

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