Continuous Probability Distributions
Normal(x, m, s)
Description: Normal distribution of x with mean m and standard deviation s.
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Normal(?N1?, 0.3, 0.1):
Triangular(x, m, l, r)
Description: Triangular probability distribution of x with modal value m, left deviation l, and right deviation r.
- Number of Parameters: 4
- Parameter Type: numerical, numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Triangular(?N1?, 0.5, 0.2, 0.4):
Cauchy(x, m, s)
Description: Cauchy probability distribution of x with modal value m and scale s.
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Cauchy(?N1?, 0.5, 0.1):
Exponential(x, l)
Description: Exponential probability distribution of x with lambda = l.
- Number of Parameters: 2
- Parameter Type: numerical, numerical
- Result Type: real
The probability distribution below corresponds to Exponential(?N1?, 2):
Weibull(x, a, l)
Description: Weibull probability distribution of x. Note that Weibull(x, 1, l) = Exponential(x, l).
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Weibull(?N1?, 1.5, 1.5):
Gamma(x, a, l)
Density:
Description: Gamma probability distribution of x. Gamma(x, 1, l) = Exponential(x, l).
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Gamma(?N1?, 1.5, 1.5):
Beta(x, a, b, bi, bs)
Description: Beta probability distribution of x. The last two parameters represent the lower and upper bounds of the variable, with default values 0 and 1.
- Number of Parameters: 5
- Parameter Type: numerical, numerical, numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to Beta(?N1?, 2, 5, 0, 5):
ChiSquare(x, n)
Description: Chi-Square probability distribution of x with n degrees of freedom.
- Number of Parameters: 2
- Parameter Type: numerical, integer
- Result Type: real
The probability distribution below corresponds to ChiSquare(?N1?, 3):
LogNormal(x, m, s)
Description: Log-normal probability distribution of x.
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real
The probability distribution below corresponds to LogNormal(?N1?, 0.4, 0.8):
Uniform(x, a, b)
Description: Uniform probability distribution of x on the interval [a, b].
- Number of Parameters: 3
- Parameter Type: numerical, numerical, numerical
- Result Type: real