No Distribution PDF CDF Random Variable &Parameter

Continuous/Discrete

1. Beta

[closed form]

Continuous

2. Cauchy

[closed form]

Continuous

3. Burr Distribution

[closed form]

Continuous

4. Chi Distribution [closed form]

Continuous

5. Gompertz

[closed form]

Continous

6. Chi-Squared

[closed form]

Continuous

7. Continue Uniform

[closed form]

Continuous

8. Dagum

Distribution

[closed form]

Continuous

9. Erlang

[closed form]

Continuous

10.

Error Function

[closed form]

Continuous

11.

Exponential[closed form]

Continuous

12.

F

[closed form]

Continuous

13.

Fatigue Life

[closed form]

Continuous

14.

Nakagami

[closed form]

Shape (real)

Spread(real)

Continuous

14.

Frechet

[closed form]

Continuous

15.

Gamma

[closed form]

Continuous

16.

Gen. Extreme Value

[closed form]Continuous

17.

Irwin Hall

[closed form]

Continuous

18.

Gen.Pareto

[closed form]

Continuous

19.

Gumble Max [closed form]

Continuous

20.

Gumble Min[closed form]

Continuous

21.

Levy

[closed form]

Continuous

22.

Harmonic

[non closed form]

Continuous

23.

Inverse Gaussian

[closed form]

Continuous

24.

Johnson SB Continuous

25.

Johnson SU

[closed form]

Continuous

26.

Laplace

[closed form]

Continuous

27.

Logistic

[closed form]

Continuous

28 Log Logistic

[closed form]

scale

shape

Continuous

29 Lognormal

[closed form]

Continuous

30 Normal

[closed form]

Continuous

31 Pareto

[closed form]

Continuous

32 Pert

[closed form]

Continuous

33 Phased Bi-exponential

[closed form]

Continuous

34 Phased Bi-Weibull

[closed form]

Continuous

35 Power Function

[closed form]

Continuous

36 Rayleigh

[closed form]

σ > 0 Continuous

37 Shifted Log-Logistic (3 Parameter Log Logistic) [closed form]

Continuous

38 Student's t

Where is the hypergeometric function

[closed form]

Continuous

39 Triangular

[closed form]

Continuous

40 Uniform Discrete

[closed form]

Discretes

41 Von Mises

[closed form] any interval of length 2π

Continuous

42 Weibull

[closed form]

scale

shape

Continuous

43 Bernoulli

[closed form]

Discretes

44 Binomial

[non closed form]

Discretes

45 Slash

[closed form]

none Continuou

46 Geometric

[closed form]

Discretes

47 Hypergeometric

[non closed form]

Discretes

48 Logarithmic

[non closed form]

Discretes

49 Kumaraswa-my

[closed form]

Continuous

50 Negative Binomial

[non closed form]

Discretes

51 Poisson

[non closed form]

Discretes