For each of the following families of distributions, explain whether it is an exponential family

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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For each of the following families of distributions, explain whether it is an exponential family:

• Bernoulli(p), p E (0, 1)
N (µ, 1), µ E R
Ν (μ, σ'), με R and σ? >0
Exponential(A), 1 > 0
Uniform([0, O]), O > 0
Г (а, В), where a, В > 0
Poisson(A), A > 0
Binomial with parameters n and p
• Binomial with n = 100 and other parameter being p
Cauchy distribution centered around 0.
Transcribed Image Text:• Bernoulli(p), p E (0, 1) N (µ, 1), µ E R Ν (μ, σ'), με R and σ? >0 Exponential(A), 1 > 0 Uniform([0, O]), O > 0 Г (а, В), where a, В > 0 Poisson(A), A > 0 Binomial with parameters n and p • Binomial with n = 100 and other parameter being p Cauchy distribution centered around 0.
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