{"ID":2875330,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.02074","arxiv_id":"2509.02074","title":"On the Kolmogorov-Feller weak law of large numbers for Frechet mean on non-compact symmetric spaces","abstract":"We establish the Kolmogorov-Feller weak law of large numbers for Frechet mean on non-compact symmetric spaces under certain regularity conditions. Our results accommodate non-identically distributed random variables and are accompanied by an illustrative example that demonstrates their applicability to the space of symmetric positive-definite matrices.","short_abstract":"We establish the Kolmogorov-Feller weak law of large numbers for Frechet mean on non-compact symmetric spaces under certain regularity conditions. Our results accommodate non-identically distributed random variables and are accompanied by an illustrative example that demonstrates their applicability to the space of sym...","url_abs":"https://arxiv.org/abs/2509.02074","url_pdf":"https://arxiv.org/pdf/2509.02074v1","authors":"[\"Jongmin Lee\",\"Sungkyu Jung\"]","published":"2025-09-02T08:25:30Z","proceeding":"math.PR","tasks":"[\"math.PR\",\"math.ST\"]","methods":"[]","has_code":false}