Extreme value modeling with errors-in-variables in detection and attribution of changes in climate extremes
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Published:2023-09-11
Issue:6
Volume:33
Page:
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ISSN:0960-3174
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Container-title:Statistics and Computing
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language:en
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Short-container-title:Stat Comput
Author:
Lau Yuen Tsz Abby,Wang Tianying,Yan Jun,Zhang Xuebin
Abstract
AbstractThe generalized extreme value (GEV) regression provides a framework for modeling extreme events across various fields by incorporating covariates into the location parameter of GEV distributions. When the covariates are subject to errors-in-variables (EIV) or measurement error, ignoring the EIVs leads to biased estimation and degraded inferences. This problem arises in detection and attribution analyses of changes in climate extremes because the covariates are estimated with uncertainty. It has not been studied even for the case of independent EIVs, let alone the case of dependent EIVs, due to the complex structure of GEV. Here we propose a general Monte Carlo corrected score method and extend it to address temporally correlated EIVs in GEV modeling with application to the detection and attribution analyses for climate extremes. Through extensive simulation studies, the proposed method provides an unbiased estimator and valid inference. In the application to the detection and attribution analyses of temperature extremes in central regions of China, with the proposed method, the combined anthropogenic and natural signal is detected in the change in the annual minimum of daily maximum and the annual minimum of daily minimum.
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Statistics and Probability,Theoretical Computer Science
Reference39 articles.
1. Allen, M.R., Stott, P.A.: Estimating signal amplitudes in optimal fingerprinting, part I theory. Clim. Dyn. 21(5–6), 477–491 (2003) 2. Bücher, A., Segers, J.: On the maximum likelihood estimator for the generalized extreme-value distribution. Extremes 20(4), 839–872 (2017) 3. Chylek, P., Li, J., Dubey, M., Wang, M., Lesins, G.: Observed and model simulated 20th century arctic temperature variability: Canadian earth system model CanESM2. Atmos. Chem. Phys. Discuss. 11(8), 22893–22907 (2011) 4. Coles, S., Bawa, J., Trenner, L., Dorazio, P.: An Introduction to Statistical Modeling of Extreme Values, vol. 208. Springer (2001) 5. Donat, M., Alexander, L., Yang, H., Durre, I., Vose, R., Dunn, R., Willett, K., Aguilar, E., Brunet, M., Caesar, J., et al.: Updated analyses of temperature and precipitation extreme indices since the beginning of the twentieth century: the hadex2 dataset. J. Geophys. Res. Atmos. 118(5), 2098–2118 (2013)
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