{ "id": "0803.1413", "version": "v1", "published": "2008-03-10T13:35:35.000Z", "updated": "2008-03-10T13:35:35.000Z", "title": "On some transformations of bilateral birth-and-death processes with applications", "authors": [ "Antonio Di Crescenzo" ], "comment": "4 pages; appeared in: The 17th Symposium of Information Theory and Its Applications (SITA '94), Hiroshima, Japan, December 6-9, 1994, pp. 739-742", "categories": [ "math.PR" ], "abstract": "A method yielding simple relationships among bilateral birth-and-death processes is outlined. This allows one to relate birth and death rates of two processes in such a way that their transition probabilities, first-passage-time densities and ultimate crossing probabilities are mutually related by some product-form expressions.", "revisions": [ { "version": "v1", "updated": "2008-03-10T13:35:35.000Z" } ], "analyses": { "subjects": [ "60J80" ], "keywords": [ "bilateral birth-and-death processes", "transformations", "applications", "method yielding simple relationships", "relate birth" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.1413D" } } }