Minotani's Handbook of Statistical Distributions by GAUSS

1. Erlang Distribution

• erlang.txt rnderlang.txt

Generalized Erlang Distribution

• gerlang.txt rndgerlang.txt

6. F Distribution

• fdist.txt rndfdist.txt

9. Chi-Square Distribution

• chisq.txt rndchisq.txt

Reciprocal Chi-Square Distribution

• recchisq.txt rndrecchisq.txt

11. Gamma Distribution

• gam.txt rndgamma.txt

Truncated Gamma Distribution

• truncgamma.txt rndtruncgamma.txt

Generalized Gamma Distribution

• ggam.txt rndggamma.txt

Standard Log-Gamma Distribution

• sloggamma.txt rndsloggamma.txt

(Generalized) Reflected Gamma Distribution

• grefgamma.txt rndgrefgamma.txt

14. Extreme Value Distribution

Extreme Value Distribution(Type 1)

• extreme1.txt rndextreme1.txt

Extreme Value Distribution(Type 2)

• extreme2.txt rndextreme2.txt

Extreme Value Distribution(Type 3)

• extreme3.txt rndextreme3.txt

Log-Gamma Distribution

• loggamma.txt rndloggamma.txt

Exponential-Exponential Distribution

• expoexpo.txt rndexpoexpo.txt

15. Error Distribution (GED)

• ged.txt rndged.txt

16. Cauchy Distribution

• cauchy.txt rndcauchy.txt

Folded Cauchy Distribution

• foldedcauchy.txt rndfoldedcauchy.txt

General Cauchy Distribution

• gcauchy.txt rndgcauchy.txt

20. Johnson's System of Distribution

SB System

• sb.txt rndsb.txt

SU System

• su.txt rndsu.txt

21. Normal Distribution(Gaussian Distribution)

• norm.txt rndnorm.txt

Skew-Normal Distribution

• skewnorm.txt rndskewnorm.txt

Power-Normal Distribution

• powernorm.txt rndpowernorm.txt

Birnbaum-Saunders Distribution

• BS.txt rndBS.txt

Folded Normal Distribution

• foldednorm.txt rndfoldednorm.txt

Half Normal Distribution

• halfnorm.txt rndhalfnorm.txt

Inverse Normal Distribution

• inversenorm.txt rndinversenorm.txt

22. Truncated Normal Distribution

• truncnorm.txt rndtruncnorm.txt

28. Stundent's t Distribution

• studentt.txt rndstudentt.txt

Generalized t Distribution(a)

• gta.txt rndgta.txt

Generalized t Distriburtion(b)

• gtb.txt rndgtb.txt

32. Burr's System of Distribution

Burr Type I( the same as U(0,1) )

Burr Type II

• burrII.txt rndburrII.txt

Burr Type III

• burrIII.txt rndburrIII.txt

Burr Type IV

• burrIV.txt rndburrIV.txt

Burr Type V

• burrV.txt rndburrV.txt

Burr Type VI

• burrVI.txt rndburrVI.txt

Burr Type VII

• burrVII.txt rndburrVII.txt

Burr Type VIII

• burrVIII.txt rndburrVIII.txt

Burr Type IX

• burrIX.txt rndburrIX.txt

Burr Type X

• burrX.txt rndburrX.txt

Burr Type XI

• burrXI.txt rndburrXI.txt

Burr Type XII(A)

• burrXIIA.txt rndburrXIIA.txt

Burr Type XII(B) Generalized

• burrXIIB.txt rndburrXIIB.txt

33. Pareto Distribution

• pareto.txt rndpareto.txt

Pareto Distribution(Type 2 or Lomax Distribution)

• pareto2.txt rndpareto2.txt

Pareto Distribution(Generalized Type 2)

• pareto2g.txt rndpareto2g.txt

Paerto Distribution(Type 3)

• pareto3.txt rndpareto3.txt

Generalized Pareto Distribution

• gpareto.txt rndgpareto.txt

34. Pearson's System of Distribution

Type I

• pearsonI.txt rndpearsonI.txt

Type II

• pearsonII.txt rndpearsonII.txt

Type III

• pearsonIII.txt rndpearsonIII.txt

Type IV

• pearsonIV.txt rndpearsonIV.txt

Type V

• pearsonV.txt rndpearsonV.txt

Type VI

• pearsonVI.txt rndpearsonVI.txt

Type VII

• pearsonVII.txt rndpearsonVII.txt

Type VIII-a

• pearsonVIIIa.txt rndpearsonVIIIa.txt

Type VIII-b

• pearsonVIIIb.txt rndpearsonVIIIb.txt

Type VIII-c

• pearsonVIIIc.txt rndpearsonVIIIc.txt

Type IX-a

• pearsonIXa.txt rndpearsonIXa.txt

Type IX-b

• pearsonIXb.txt rndpearsonIXb.txt

Type IX-c

• pearsonIXc.txt rndpearsonIXc.txt

Type X(the same as Exponential Distribution)

• pearsonX.txt rndpearsonX.txt

Type XI

• pearsonXI.txt rndpearsonXI.txt

Type XII(Equ.(42))

• pearsonXIIa.txt rndpearsonXIIa.txt

Type XII(Equ.(43))

• pearsonXIIb.txt rndpearsonXIIb.txt

Expansion of Peason's System

• pearsonEx.txt rndpearsonEx.txt

35. von Mises Distribution

• vonMises.txt rndvonMises.txt

37. Power Function Distribution

• power.txt rndpower.txt

39. Beta Distribution

• beta.txt rndbetadist.txt

Generalized Beta Distribution

• gbeta.txt rndgbeta.txt

42. Laplace Distribution

• laplace.txt rndlaplace.txt

Laplace-Normal Mixture Distribution

• laplacenorm.txt rndlaplacenorm.txt

Reflected Gamma Distribution

• refgamma.txt rndrefgamma.txt

Log-Laplace Distribution

• loglaplace.txt rndloglaplace.txt

43. Rayleigh Distribution

• rayleigh.txt rndrayleigh.txt

Generalized Rayleigh Distribution

• grayleigh.txt rndgrayleigh.txt

Maxwell-Boltzmann Distribution

• maxboltz.txt rndmaxboltz.txt

44. Logistic Distribution

• logistic.txt rndlogistic.txt

Generalized Logistic Distribution

• glogistic.txt rndglogistic.txt

Power Logistic Distribution

• plogistic.txt rndplogistic.txt

Generalized Semi-Logistic Distribution

• gsemilogistic.txt rndgsemilogistic.txt

LL System

• LL.txt rndLL.txt

LB System

• LB.txt rndLB.txt

LU System

• LU.txt rndLU.txt

45. Weibull Distribution

• weibull.txt rndweibull.txt

• weibullmu.txt rndweibullmu.txt

Reciprocal Weibull Distribution

• rweibull.txt rndrweibull.txt

Left-truncated Weibull Distribution

• leftweibull.txt rndleftweibull.txt

Right-truncated Weibull Distribution

• rightweibull.txt rndrightweibull.txt

Discrete Weibull Distribution

• disweibull.txt rnddisweibull.txt

Double Weibull Distribution

• dweibull.txt rnddweibull.txt

Weibull-Exponential Distribution

• weibullexpo.txt rndweibullexpo.txt

• Chiohiko Minotani "Toukei Bunpu Handbook"(in Japanese), Asakura Shoten 2003 ISBN: 4254121547.

This is a GAUSS version of its "complete" programming guide. Buy and read this Japanese handbook above along with this guide.

by Yosuke Amijima

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