The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Modelling Extremal Events
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Integrity signals
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In the citing paper
“EVT-based approaches allow for more robust identification of extreme events by modeling the tails of temperature distributions, addressing the inadequacies of fixed percentile thresholds.”
From Advancing Heatwave Forecasting via Distribution Informed-Graph Neural Networks (DI-GNNs): Integrating Extreme Value Theory with GNNs (2024) · cites this paper as [30]
In the citing paper
“DI-GNN incorporates Generalized Pareto Distribution (GPD)-derived descriptors into the feature space, adjacency matrix, and loss function to enhance its sensitivity to rare heatwave occurrences.”
From Advancing Heatwave Forecasting via Distribution Informed-Graph Neural Networks (DI-GNNs): Integrating Extreme Value Theory with GNNs (2024) · cites this paper as [30]
In the citing paper
“The Distribution-Informed Graph Neural Network (DI-GNN) represents a significant advancement in the modeling of rare and extreme events, transcending the limitations of traditional feature engineering by embedding Extreme Value Theory (EVT) principles directly into the learning process.”
From Advancing Heatwave Forecasting via Distribution Informed-Graph Neural Networks (DI-GNNs): Integrating Extreme Value Theory with GNNs (2024) · cites this paper as [30]
Citations
Cites
Glas, C. A. W. (2017) · Chapman & Hall/CRC eBooks · doi:10.1201/b19166-11 · Cited by 24
Snapp, R. R. (2014) · Springer eBooks · doi:10.1007/978-1-4614-6170-8_155 · Cited by 3
Time Series Analysis for Heavy-Tailed Processes
Emberchts, P., Klüppelberg, C., & Mikosch, T. (1997) · Springer eBooks · doi:10.1007/978-3-642-33483-2_8 · Cited by 2
Self-citationDefinition and Elementary Properties
Davies, B. (1978) · Applied mathematical sciences · doi:10.1007/978-1-4757-5512-1_1 · Cited by 2
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Murakami, D., Peters, G. W., Yamagata, Y., & Matsui, T. (2016) · IEEE Access · doi:10.1109/access.2016.2516918 · Cited by 38
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Писаренко, В. Ф., Sornette, D., & Rodkin, M. V. (2010) · Earth Planets and Space · doi:10.5047/eps.2010.06.003 · Cited by 37
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Frank, S. A. (2014) · Journal of Evolutionary Biology · doi:10.1111/jeb.12388 · Cited by 36
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Metadata
- Authors
- Embrechts, P., Klüppelberg, C., & Mikosch, T.
- Affiliations
- Technical University of Munich (DE)
- University of Copenhagen (DK)
- Venue
- Springer eBooks
- Publisher
- Springer Berlin Heidelberg
- Published
- 1997
- OpenAlex
- W2502254989
- Cited by
- 4,402
- References
- 4
- Citations by year
- 2026: 140 · 2025: 137 · 2024: 128 · 2023: 142 · 2022: 136 · 2021: 115 · 2020: 164 · 2019: 142 · 2018: 192 · 2017: 175 · 2016: 198 · 2015: 182 · 2014: 250 · 2013: 200 · 2012: 252
- FWCI
- 46.74
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Springer eBooks (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Probability and Risk Models
- Social Sciences › Economics, Econometrics and Finance › Finance › Financial Risk and Volatility Modeling
- Social Sciences › Economics, Econometrics and Finance › Finance › Stochastic processes and financial applications
- Keywords
- extreme value theory, financial fluctuations, stock market shocks, risk management
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