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Abstract: In this paper, the probability density function of the n-fold convolution of a finite mixture of densities is obtained. The new density is again a finite mixture of densities. In this way, the formula recently given by Ma [N.-Y. Ma, A comment on "On the distribution of Ma and King, Applied Mathematics and Computation" 218 (2011) 202-203] for a two-fold convolution is interpreted and extended and a correct expression for the formula provided by Nadarajah [S. Nadarajah, On the distribution of Ma and King, Applied Mathematics and Computation 189 (2007) 732-733] is given. Several relevant examples are provided, including the convolution for the generalized exponential-sum distribution.
Fuente: Applied Mathematics and Computation, 2012, 218, 9992-9996
Publisher: Elsevier Inc.
Year of publication: 2012
No. of pages: 5
Publication type: Article
DOI: 10.1016/j.amc.2012.03.060
ISSN: 0096-3003,1873-5649
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JOSE MARIA SARABIA ALEGRIA
FAUSTINO PRIETO MENDOZA
CARMEN TRUEBA SALAS
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