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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, 2021, roč.~77, č.~1, s.~186-196. ISSN~0006-341X. Dostupné z: https://dx.doi.org/10.1111/biom.13282.
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