caa a22 4500 605519749 CHVBK 20210128100732.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11009-013-9379-y doi (NATIONALLICENCE)springer-10.1007/s11009-013-9379-y Moments and Cumulants of a Mixture [Elektronische Daten] [Christopher Withers, Saralees Nadarajah, Shou Shih] For the first time, general formulas for moments and cumulants are derived for mixtures of two or more distributions. The formulas involve the Bell polynomials. Computational efficiency of the formulas is illustrated by applications for two-component and three-component normal mixture models. Springer Science+Business Media New York, 2013 Bell polynomials nationallicence CPU time nationallicence Cumulants nationallicence Mixtures nationallicence Moments nationallicence Withers Christopher Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand aut Nadarajah Saralees School of Mathematics, University of Manchester, M13 9PL, Manchester, UK aut Shih Shou Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 541-564 1387-5841 17:3<541 2015 17 11009 https://doi.org/10.1007/s11009-013-9379-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9379-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Withers Christopher Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand aut NATIONALLICENCE 700 1- Nadarajah Saralees School of Mathematics, University of Manchester, M13 9PL, Manchester, UK aut NATIONALLICENCE 700 1- Shih Shou Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 541-564 1387-5841 17:3<541 2015 17 11009