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630 Table of Common Distributions Mental Geometric Discrete (p) $n=1 uniform Disorders min X, CX Negative α=β=1 Beta-binomial binomial (n. aαβ) (n. p) p= α Hypergeometric λ=n(1-p) α+β$ (M.N.K) $n-∞ α+β-∞ λ=np Poisson n-∞ Binomial p =M/Nn = K (2) (n. p) X N-∞ CX \=0² Bernoulli πx, 8 =np -p) n=1 (p) Normal n 8 еt (μ0) $β-∞ Lognormal log X X-μ ∑X Beta a K=rλ (αβ) Normal μ+oX $0^{=rλ{2$ (0.1) r-∞ x α=β=1 Actual Gamma x + x Distributions CX (r.λ) Chi-squared r=v/2 ΣX Uniform $x1v, λ=2r=1 -1× Cauchy (v) $xv}$ λ=2 v = 2 e-x2 7 $^x -λ log X v-∞ $2-∞ Exponential F (λ) (ν1. ν) min X ν =1 $x -x x1) x $y=1 |X| Weibull Double 1 (γ.λ) exponential (v) Relationsiip among common distributions. Solid lines represent transformations and special cases, dashed lines resent limits. Adapted from Leemis (1986)
