Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630297 | Applied Mathematics and Computation | 2012 | 5 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
José María Sarabia, Faustino Prieto, Carmen Trueba,