Kling-Gupta linear regression scales the OLS coefficient vector by a variance-inflation factor based on sample moments, preserves response variance on the training set, and converges almost surely to explicit population limits while maximizing KGE but not NSE.
Physical Geography 2, 184–194
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A 3D gamma-index provides an acceptance criterion for forecasts by checking agreement within explicit spatial, temporal, and intensity tolerances instead of exact matches.
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Kling-Gupta linear regression
Kling-Gupta linear regression scales the OLS coefficient vector by a variance-inflation factor based on sample moments, preserves response variance on the training set, and converges almost surely to explicit population limits while maximizing KGE but not NSE.
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A Tolerance-Based Framework for Spatio-Temporal Forecast Validation Using the gamma-Index
A 3D gamma-index provides an acceptance criterion for forecasts by checking agreement within explicit spatial, temporal, and intensity tolerances instead of exact matches.