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Model Diagnostics and Forecast Evaluation for Quantiles

delete2023-03-10
delete18
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OA
AI
T
Tilmann Gneiting *
D
Daniel Wolffram
J
Johannes Resin
K
Kristof Kraus
J
Johannes Bracher
T
Timo Dimitriadis
V
Veit Hagenmeyer
A
Alexander I. Jordan
S
Sebastian Lerch
K
Kaleb Phipps
M
Melanie Schienle
DOI:10.1146/annurev-statistics-032921-020240delete
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摘要

摘要

En 中文
Model diagnostics and forecast evaluation are closely related tasks, with the former concerning in-sample goodness (or lack) of fit and the latter addressing predictive performance out-of-sample. We review the ubiquitous setting in which forecasts are cast in the form of quantiles or quantile-bounded prediction intervals. We distinguish unconditional calibration, which corresponds to classical coverage criteria, from the stronger notion of conditional calibration, as can be visualized in quantile reliability diagrams. Consistent scoring functions-including, but not limited to, the widely used asymmetric piecewise linear score or pinball loss-provide for comparative assessment and ranking, and link to the coefficient of determination and skill scores.We illustrate the use of these tools on Engel's food expenditure data, the Global Energy Forecasting Competition 2014, and the US COVID-19 Forecast Hub.
Keyword:
calibration
coverage plot
Murphy diagram
quantile regression
reliability diagram
scoring function

期刊

Annual Review of Statistics and Its Application 封面图
Annual Review of Statistics and Its Application
IF:
8.7
论文数:
211
被引数:
2.4K

机构

K
karlsruhe institute of technology
学者数:
2.0W
论文数: 1.5W
被引数: 23
H
Heidelberg Institute for Theoretical Studies
学者数:
389
论文数: 377
被引数: 2.9K
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