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@article{1642516,
author = {Davison, Anthony and Hautphenne, Sophie and Kraus, Andrea},
article_location = {Hoboken},
article_number = {1},
doi = {http://dx.doi.org/10.1111/biom.13282},
keywords = {Galton-Watson process; Gaussian approximation; likelihood; linear birth-and-death process; saddlepoint approximation},
language = {eng},
issn = {0006-341X},
journal = {Biometrics},
title = {Parameter estimation for discretely-observed linear birth-and-death processes},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1111/biom.13282},
volume = {77},
year = {2021}
}
TY - JOUR
ID - 1642516
AU - Davison, Anthony - Hautphenne, Sophie - Kraus, Andrea
PY - 2021
TI - Parameter estimation for discretely-observed linear birth-and-death processes
JF - Biometrics
VL - 77
IS - 1
SP - 186-196
EP - 186-196
PB - Wiley
SN - 0006341X
KW - Galton-Watson process
KW - Gaussian approximation
KW - likelihood
KW - linear birth-and-death process
KW - saddlepoint approximation
UR - https://onlinelibrary.wiley.com/doi/abs/10.1111/biom.13282
L2 - https://onlinelibrary.wiley.com/doi/abs/10.1111/biom.13282
N2 - Birth-and-death processes are widely used to model the development of biological populations. Although they are relatively simple models, their parameters can be challenging to estimate, as the likelihood can become numerically unstable when data arise from the most common sampling schemes, such as annual population censuses. A further difficulty arises when the discrete observations are not equi-spaced, for example, when census data are unavailable for some years. We present two approaches to estimating the birth, death, and growth rates of a discretely observed linear birth-and-death process: via an embedded Galton-Watson process and by maximizing a saddlepoint approximation to the likelihood. We study asymptotic properties of the estimators, compare them on numerical examples, and apply the methodology to data on monitored populations.
ER -
DAVISON, Anthony, Sophie HAUTPHENNE a Andrea KRAUS. Parameter estimation for discretely-observed linear birth-and-death processes. \textit{Biometrics}. Hoboken: Wiley, roč.~77, č.~1, s.~186-196. ISSN~0006-341X. doi:10.1111/biom.13282. 2021.
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