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3.9 Summary of probability distributions

Name Abbrev. Disc/Cts Values
Discrete uniform 𝖴𝗇𝗂𝖿⁡(0,m) D 0,1,…,m
Bernoulli 𝖡𝖾𝗋𝗇⁡(θ) D 0,1
Binomial 𝖡𝗂𝗇⁡(n,θ) D 0,1,…,n
Geometric 𝖦𝖾𝗈𝗆⁡(θ) D 0,1,2,3,…
Poisson 𝖯𝗈𝗂𝗌𝗌𝗈𝗇⁡(λ) D 0,1,2,3,…
Uniform 𝖴𝗇𝗂𝖿⁡(a,b) C [a,b]
Exponential 𝖤𝗑𝗉⁡(β) C [0,∞)
Gamma 𝖦𝖺𝗆⁡(α,β) C [0,∞)
Beta 𝖡𝖾𝗍𝖺⁡(α1,α2) C [0,1]
Weibull 𝖶𝖾𝗂𝖻⁡(α,β) C [0,∞)
Normal 𝖭⁡(μ,σ2) C (-∞,∞)
Cauchy 𝖢𝖺𝗎𝖼𝗁𝗒 C (-∞,∞)