Exponential Families of Distributions for each of the following distributions, determine whether it is an exponential family

Question:

Exponential Families of Distributions for each of the following distributions, determine whether it is an exponential family by examining the log-likelihood function. Then, identify the sufficient statistics.

a. Normal distribution with mean μ and variance σ2.

b. TheWeibull distribution in Exercise 4 in Chapter 17.

c. The mixture distribution in Exercise 3 in Chapter 17.

Distribution
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