{"ID":2849767,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.23563","arxiv_id":"2510.23563","title":"Tests of independence for pairs of paths of non-stationary Gaussian processes","abstract":"In the current work, we provide theoretical results for testing (in)dependence between pairs of paths of most commonly studied non-stationary Gaussian processes - standard Brownian motion and fractional Brownian motion (fBm). Please see the PDF version of the paper for a full abstract.","short_abstract":"In the current work, we provide theoretical results for testing (in)dependence between pairs of paths of most commonly studied non-stationary Gaussian processes - standard Brownian motion and fractional Brownian motion (fBm). Please see the PDF version of the paper for a full abstract.","url_abs":"https://arxiv.org/abs/2510.23563","url_pdf":"https://arxiv.org/pdf/2510.23563v1","authors":"[\"Philip A. Ernst\",\"Frederi G. Viens\",\"Shuo Yan\"]","published":"2025-10-27T17:35:13Z","proceeding":"math.ST","tasks":"[\"math.ST\",\"math.PR\"]","methods":"[]","has_code":false}