Determine whether the following distributions belong to the exponential family: a. Dirichlet distribution b. Poisson distribution c.

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Determine whether the following distributions belong to the exponential family:

a. Dirichlet distribution

b. Poisson distribution

c. Inverse-Wishart distribution

d. von Mises–Fisher distribution Derive the natural parameters, sufficient statistics, and normalization term for those distributions that belong to the exponential family.

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