Distributions list

[sohraa3]

Discrete

• [x] Benford
• [x] Bernoulli
• [x] Beta-binomial
• [x] Beta-Pascal
• [x] Binomial
• [x] Discrete uniform
• [x] Discrete Weibull
• [x] Gamma-Poisson
• [x] Geometric
• [x] Hypergeometric
• [x] Logarithm -hakaru: Data.Number.LogFloat.logFloat: argument out of range
• [x] Negative hypergeometric
• [x] Pascal
• [x] Poisson
• [x] Polya
• [x] Power series
  • (sum of infinitely many terms in p.m.f. )
• [x] Rectangular
• [x] Zeta (sum of infinitely many terms in p.m.f.)
• [x] Zipf

Continuous

• [x] Arcsin
• [x] Arctangent
  • arctan not implemented?
  • this distribution seems hard to implement. the only path to it on the UDR is from cauchy. the transformation from cauchy is called a zero truncate, which is an algebraic manipulation of the PDF for cauchy. so, it cannot be implemented that way.
• [x] Beta
• [x] Cauchy
• [x] Chi
• [x] Chi-square
• [x] Doubly noncentral F
  • sum of infinitely many terms
• [x] Doubly noncentral t
  • (Need noncentralChiSq that takes in ncp to implement as in map. See here: http://onlinelibrary.wiley.com/doi/10.1111/j.1467-842X.1969.tb00102.x/pdf)
• [x] Erlang
• [x] Error
  • gamma function
• [x] Exponential
• [x] Exponential power
• [x] Extreme value
• [x] F
• [x] Gamma
• [x] Gamma-normal
• [x] Generalized gamma
  • gamma function
• [x] Generalized Pareto
  • (Source)
• [x] Gompertz
• [x] Hyperbolic-secant
• [x] Hyperexponential
  • (Note: p-vector missing from graph. See here for explanation of "mixture": https://en.wikipedia.org/wiki/Hyperexponential_distribution)
• [x] Hypoexponential
• [x] IDB
  • (Source. Also, hard to find resources on)
• [x] Inverse Gaussian
  • (Source)
• [x] Inverted beta
• [x] Inverted gamma
• [ ] Kolmogorov-Smirnov
  • No PDF (not possible)
• [x] Laplace
• [x] Log gamma
• [x] Log logistic
• [x] Log normal
  • (Can implement as log(normal(mean,stdev) but then wouldn't have parameters as shown)
• [x] Logistic
• [x] Logistic-exponential
• [x] Lomax
  • (Can be implemented as translation of Pareto. See here: https://en.wikipedia.org/wiki/Lomax_distribution#Relation_to_the_Pareto_distribution)
• [x] Makeham
  • (Source)
• [x] Minimax
  • (Source. See section 2 here, might be a way to implement: http://stats-www.open.ac.uk/TechnicalReports/minimax.pdf)
• [x] Muth
  • hakaru: Data.Number.LogFloat.logFloat: argument out of range
• [x] Noncentral beta
  • infinity sum
• [x] Noncentral chi-square
• [x] Noncentral F
  • sum of infinitely many terms and gamma function
• [x] Noncentral t
• [x] Normal
• [x] Pareto
• [x] Power
  • (Source. Hard to find info on)
• [x] Rayleigh
• [x] Standard Cauchy
• [x] Standard normal
• [x] Standard power
• [x] Standard triangular
• [x] Standard uniform
• [x] Standard Wald
  • (Need Inverse Gaussian)
• [x] T
• [x] Triangular
• [x] TSP
  • hakaru: Data.Number.LogFloat.logFloat: argument out of range
• [x] Uniform
• [x] von Mises
  • sum of infinitely many terms
• [x] Weibull

[mkhattab940]

I have updated the list with comments. Distributions without comments should be easily implementable at this point. Distributions marked "Source" cannot be implemented at present unless otherwise stated.