Parameter estimation for discretely observed linear birth‐and‐death processes-Reference-Cited by-同舟云学术

Parameter estimation for discretely observed linear birth‐and‐death processes

Published:2020-05-08 Issue:1 Volume:77 Page:186-196
ISSN:0006-341X
Container-title:Biometrics
language:en
Short-container-title:Biometrics

Author:

Davison A. C.¹^ORCID,Hautphenne S.¹²^ORCID,Kraus A.³^ORCID

Affiliation:

1. Institute of Mathematics Ecole Polytechnique Fédérale de Lausanne EPFL‐FSB‐MATH‐STAT Lausanne Switzerland

2. School of Mathematics and Statistics The University of Melbourne Melbourne Australia

3. Department of Mathematics and Statistics Masaryk University Brno Czech Republic

Funder

Grantová Agentura České Republiky

Australian Research Council

Publisher

Wiley

Subject

Applied Mathematics,General Agricultural and Biological Sciences,General Immunology and Microbiology,General Biochemistry, Genetics and Molecular Biology,General Medicine,Statistics and Probability

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1111/biom.13282

Reference27 articles.

1. Saddlepoint approximations for continuous-time Markov processes

2. On a functional central limit theorem for Markov population processes

3. Saddlepoint Approximations with Applications

4. Quasi- and pseudo-maximum likelihood estimators for discretely observed continuous-time Markov branching processes

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

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1. INAR approximation of bivariate linear birth and death process;Statistical Inference for Stochastic Processes;2023-05-15

2. Asymptotic accuracy of the saddlepoint approximation for maximum likelihood estimation;The Annals of Statistics;2022-08-01

3. A Numerical Approach for Evaluating the Time-Dependent Distribution of a Quasi Birth-Death Process;Methodology and Computing in Applied Probability;2021-07-15