Statistical Distributions

F / Fisher-Snedecor Distribution

139

Chi-squared Distribution

143

Gamma Distribution

146

Weibull Distribution

150

Frechet / Inverse-Weibull Distribution

154

Gumbel / Log-Weibull / Extreme Value Type 1 Distribution

159

Gompertz Distribution

166

Rayleigh Distribution

170

Maxwell-Boltzmann Distribution

173

Logistic Distribution

176

Log-Logistic / Fisk Distribution

180

Fatigue Life / Burnbaum-Saunders Distribution

184

General Semicircle Distribution

189

Triangle Distribution

193

Uniform Distribution

196

Poisson Distribution

202

Beta Distribution

205

Beta Prime/ Inverted Beta Distribution

209

PERT Distribution

211

ARGUS Distribution

219

Power Normal Distribution

223

Power Lognormal Distribution

226

Generalized Normal Distribution

230

Generalized Normal Asymmetric Distribution

235

Generalized Exponential / Lambert-W Distribution

242

Generalized Beta Distribution (GB1, GB2, B) https://en.wikipedia.org/wiki/Generalized_beta_distribution

248

Generalized Extreme Value Distribution (Weibull, Gumbell, Frechet family)

255

Expression 262: Gamma left parenthesis, "x" , right parenthesis equals left parenthesis, "x" minus 1 , right parenthesis !

262

Expression 263: "B" left parenthesis, "x" , "y" , right parenthesis equals left parenthesis, StartFraction, Gamma left parenthesis, "x" , right parenthesis Gamma left parenthesis, "y" , right parenthesis Over Gamma left parenthesis, "x" plus "y" , right parenthesis , EndFraction , right parenthesis

263

Lambert-W function

264

Distributions included in Python due to limitations of desmos: Meixner distribution, Generalized Hyperbolic Distribution (originally developed for modelling aeolian processes), Levy-alpha stable distribution.

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