Show that the binomial law belongs to the one-parameter exponential family. Hence, or otherwise, verify (2.3.20) and (2.3.28). Show that the Poisson law belongs to the exponential family, and...

Show that the binomial law

belongs to the one-parameter exponential family. Hence, or otherwise, verify (2.3.20) and (2.3.28).

Show that the Poisson law

belongs to the exponential family, and hence, or otherwise, show that (2.3.20) and (2.3.28) hold.