Question: Altham (1978) introduced the discrete distribution where c(?, ?) is a normalizing constant. Show that this is in the exponential family. Show that the binomial

Altham (1978) introduced the discrete distribution

"(1 )""xp[ ( - )], f(y; , ) 3 (, )| %3D

where c(?, ?) is a normalizing constant. Show that this is in the exponential family. Show that the binomial occurs when ? = 0.

[Altham noted that overdispersion occurs when ?

"(1 )""xp[ ( - )], f(y; , ) 3 (, )| %3D 0,1, ..., ,

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