@article{forecastingandbacktestinggradient, title = {Forecasting and Backtesting Gradient Allocations of Expected Shortfall}, author = {Takaaki Koike and Cathy W. S. Chen and Edward M. H. Lin}, year = {2024}, eprint = {2401.11701}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2401.11701v2}, }