In this paper we show that, when the coefficients are not all positive, the distribution of the linear combination of independent Gamma random variables may be represented in form of an infinite mixture of differences of two independent Gamma random variables. Based on truncations of this mixture two precise approximations are developed. Numerical computational studies are conducted to access the quality of these approximations.
|Title of host publication||AIP Conference Proceedings|
|Publication status||Published - 1 Jan 2014|
|Event||10TH INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, ICCMSE - |
Duration: 1 Jan 2014 → …
|Conference||10TH INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING, ICCMSE|
|Period||1/01/14 → …|