Annals of the Institute of Statistical Mathematics

, Volume 37, Issue 1, pp 541–544

The distribution of the sum of independent gamma random variables

  • P. G. Moschopoulos

DOI: 10.1007/BF02481123

Cite this article as:
Moschopoulos, P.G. Ann Inst Stat Math (1985) 37: 541. doi:10.1007/BF02481123


The distribution of the sum ofn independent gamma variates with different parameters is expressed as a single gamma-series whose coefficients are computed by simple recursive relations.

Key words

Gamma distributionseries representationmoment generating function

Copyright information

© Kluwer Academic Publishers 1985

Authors and Affiliations

  • P. G. Moschopoulos
    • 1
  1. 1.The University of Texas at DallasDallasUSA