@misc{bianchi2025roughness, title={Roughness Analysis of Realized Volatility and VIX through Randomized Kolmogorov-Smirnov Distribution}, author={Sergio Bianchi and Daniele Angelini}, year={2025}, eprint={2509.20015}, archivePrefix={arXiv}, primaryClass={q-fin.MF}, url={https://arxiv.org/abs/2509.20015} }