A size biased generalized negative binomial distribution (SBGNBD) is defined and a recurrence relationship for the moments of SBGNBD is established. The Bayes’ estimator for a parametric function of one parameter when two other parameters of a known size-biased generalized negative binomial distribution is derived. Prior information on one parameter is given by a beta distribution and the parameters in the prior distribution are assigned by computer using Monte Carlo and R-software.
Mir, Khurshid Ahmad
"Size-Biased Generalized Negative Binomial Distribution,"
Journal of Modern Applied Statistical Methods: Vol. 7
, Article 9.
Available at: http://digitalcommons.wayne.edu/jmasm/vol7/iss2/9