References
- Akkouchi, M. (2005). On the convolution of gamma distributions. Soochow Journal of Mathematics 31(2):205–211.
- Almasi, I., Jalilian, R., Sayehmiri, K. (2012). The exact distribution of sums weights of gamma variables. Journal of Iranian Statistical Society 11(1):23–37.
- Amari, S. V., Misra, R. B. (1997). Closed form expressions for distribution of sum of exponential random variables. IEEE Transactions on Reliability 46:519–522.
- Cigizoglu, H. K., Bayazit, M. (2000). A generalized seasonal model for flow duration curve. Hydrological Processes 14:1053–1067.
- Consul, P. C., Gupta, H. C. (1980). The generalized negative binomial distribution and its characterization by zero regression. SIAM Journal on Applied Mathematics 39(2):231–237.
- Di Salvo, F. (2006). The exact distribution of the weighted convolution of two gamma distributions. Atti XLIII Riunione Scientifica SIS511–514.
- Di Salvo, F., Lovison, G. (1999). Parametric inference on composite samples with random weights. Working Papers GRASPA, www.graspa.org.
- Diaconis, P., Perlman, M. D. (1990). Bounds for tail probabilities of weighted sums of independent gamma random variables. Topics in Statistical Dependence, IMS Lecture Notes Monogr. Ser. 16, 147, 166.
- Donahue, R. M. J. (1999). A note on information seldom reported via the P value. The American Statistician 53(4):303–306.
- Fleurant, C., Duchesne, J., Raimbault, P. (2004). An allometric model for trees. Journal for Theoretical Biology 227:137–147.
- Hurlimann, W. (2001). Analytical evaluation of economic risk capital for portfolios of gamma risks. ASTIN Bulletin 31(1):107–122.
- Jain, G. C., Consul, P. (1971). A generalized negative binomial distribution. SIAM Journal on Applied Mathematics 21(4):501–513.
- Ladekarl, M., Jensen, V., Nielsen, B. (1997). Total number of cancer cell nuclei and mitoses in breast tumors estimated by the optical dissector. Analytical and Quantitative Cytology and Histology 19:329–337.
- Mathai, A. M. (1982). Storage capacity of a dam with gamma type inputs. Annals of the Institute of Statistical Mathematics 34Part A:591–597.
- Moschopoulos, P. G. (1985). The distribution of the sum of independent gamma random variables. Annals of the Institute of Statistical Mathematics 37Part A:541–544.
- Nadarajah, S., Kibira, B. M. G. (2006a). Drought models based on burr xii variables. Applications Mathematica 33:185–193.
- Nadarajah, S., Kibira, B. M. G. (2006b). On the ratio of generalized Pareto random variables. Stochastic Environmental Research Risk Assessment206–212.
- R Core Team (2013). R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria.
- Sackrowitz, H., Samuel-Cahn, E. (1999). P values as random variables—expected P values. The American Statistician 53(4):326–331.
- Sim, C. H. (1992). Point process with correlated gamma interarrival times. Statistics & Probability Letters 15:135–141.
- Stewart, T., Strijbosch, L., Moors, H., Van Batenburg, P. (2007). A simple approximation to the convolution of gamma distributions. CentER Discussion Paper, No. 2006-27, ISSN 0924-7815, Revised Version Sept. 2007.
- Thom, H. C. S. (1968). Approximate convolution of the gamma and mixed gamma distributions. Monthly Weather Review 96:883–886.
- Vellaisamy, P., Upadhye, N. S. (2009). On the sums of compound negative binomial and gamma random variables. Journal of Applied Probability 46:272–283.
- Yuan, K. H., Bentler, P. M. (2010). Two simple approximations to the distributions of quadratic forms. British Journal of Mathematical and Statistical Psychology 63(2):273–291.