September 2012
Beginner to intermediate
536 pages
14h 40m
English
The distributions in this class have support on 0,1,…. For this class, a particular distribution is specified by setting p0 and then using pk = (a + b/k)pk-1. Specific members are created by setting p0, a, and b. For any member, μ(1) = (a + b)/(1 − a), and for higher j, μ(j) = (aj + b) μ(j-1)/(1 − a)/(1 − a). The variance is (a + b)/(1 − a)2.
B.2.1.1 Poisson—λ

B.2.1.2 Geometric—β

This is a special case of the negative binomial with r = 1.
B.2.1.3 Binomial—q,m (0 < q < 1, m an integer)

B.2.1.4 Negative binomial—β, r

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