97249 20240319080945.0 doi 10.1007/s10959-020-01050-9 sideral 120974 ART-2022-120974 eng Adell, J.A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 Probabilistic Stirling Numbers of the Second Kind and Applications 2022 Access copy available to the general public Unrestricted Associated with each complex-valued random variable satisfying appropriate integrability conditions, we introduce a different generalization of the Stirling numbers of the second kind. Various equivalent definitions are provided. Attention, however, is focused on applications. Indeed, such numbers describe the moments of sums of i.i.d. random variables, determining their precise asymptotic behavior without making use of the central limit theorem. Such numbers also allow us to obtain explicit and simple Edgeworth expansions. Applications to Lévy processes and cumulants are discussed, as well. info:eu-repo/grantAgreement/ES/MCIU/PGC2018-097621-B-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.8 2022 STATISTICS & PROBABILITY 105 / 125 = 0.84 2022 Q4 T3 0.659 2022 Mathematics (miscellaneous) 2022 Q2 Statistics, Probability and Uncertainty 2022 Q2 Statistics and Probability 2022 Q2 1.4 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 35 (2022), 636–652 J. theor. probab. JOURNAL OF THEORETICAL PROBABILITY 0894-9840 340072 http://zaguan.unizar.es/record/97249/files/texto_completo.pdf Versión publicada 18802 http://zaguan.unizar.es/record/97249/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:97249 articulos driver 2024-03-18-12:32:13 ARTICLE