A size-biased version of Polya-Eggenberger distribution is introduced explicitly and by a mixture model. The proposed distribution is unimodal with positive integer moments. The recurrence relation between moments (about the origin) of the proposed distribution is established and its relationship with other distributions is discussed. Different estimation techniques are proposed to estimate the parameters of the distribution.
Hassan, Anwar; Bilal, Sheikh; and Shah, Imtiyaz Ahmad
"On Some Properties and Estimation of Size-Biased Polya-Eggenberger Distribution,"
Journal of Modern Applied Statistical Methods:
2, Article 10.
Available at: http://digitalcommons.wayne.edu/jmasm/vol11/iss2/10