{ "id": "2203.11310", "version": "v1", "published": "2022-03-21T19:58:05.000Z", "updated": "2022-03-21T19:58:05.000Z", "title": "Characteristic function and operator approach to M-indeterminate probability densities", "authors": [ "Patrick Loughlin", "Leon Cohen" ], "categories": [ "math.PR" ], "abstract": "We investigate M-indeterminate probability densities by way of the characteristic function and self adjoint operators. The approach leads to new methods to construct M-indeterminate probability densities of the Stieltjes class as well as new non-Stieltjes classes of densities.", "revisions": [ { "version": "v1", "updated": "2022-03-21T19:58:05.000Z" } ], "analyses": { "keywords": [ "characteristic function", "operator approach", "construct m-indeterminate probability densities", "self adjoint operators", "non-stieltjes classes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }