On the product of gamma random variables

Quality and Quantity

Volumn 47, Issue 1, 2013, Pages 545-552

  Withers, Christopher S ^a   Nadarajah, Saralees ^b  

^a CALLAGHAN INNOVATION   (New Zealand)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Distribution; Gamma random variables; Products

Indexed keywords

EID: 84872602002     PISSN: 00335177     EISSN: 15737845     Source Type: Journal    
DOI: 10.1007/s11135-011-9474-5     Document Type: Article

References (10)

1. Abramowitz M., Stegun I. A.: Handbook of mathematical functions. US National Bureau of Standards, Washington, DC (1964).
2. Johnson N. L., Kotz S.: Continuous Univariate distributions, vol. 1 and 2. Houghton Miflin Company, New York (1970).
3. Malik H. J.: Exact distribution of the product of independent generalized gamma variables with the same shape parameter. Ann. Stat. 39, 1751-1752 (1968).
4. Mathai, A. M.: Products and ratios of generalized gamma variates. Scand. Act. J. 193-198 (1972).
5. Mathai A. M.: A handbook of generalized special functions for statistical and physical sciences. Oxford University Press, New York (1993).
6. Mathai, A. M., Saxena, R. K.: Generalized hypegeometric functions with applications in statistics and physical sciences. Lecture Notes in Mathematics, vol. 348. Springer, Berlin (1973).
7. Mathai A. M., Saxena R. K.: The H-function with applications in statistics and other disciplines. Halsted Press, New York (1978).
8. Mathai A. M., Saxena R. K., Haubold H. J.: The H-function: theory and applications. Springer, New York (2010).
9. Watson G. N.: A treatise on the theory of Bessel functions, 2nd edn. Cambridge University Press, New York (1944).
10. Wheelon A. D.: Tables of summable series and integrals involving Bessel functions. Holden-Day, San Francisco (1968).