2.7.11.2 Other Distributions

2.7.11.2.1 Continuous Symmetric Distributions

Rand_Cauchy(Mu, Sigma, Stream). Cauchy distribution.
Parameters:

• Mu = Mean.
• Sigma = Standard deviation.
• Stream = Random number stream.

Rand_Student(N, Stream). Student's-t distribution.
Parameters:

• N = degrees of freedom.
• Stream = Random number stream.

Rand_Normal(Mu, Sigma, Stream). Normal distribution.
Parameters:

• Mu = Mean.
• Sigma = Standard deviation.
• Stream = Random number stream.

Rand_Gauss(Mu, Sigma, Stream). Gaussian distribution. Like Rand_Normal(), but a bit faster.
Parameters:

• Mu = Mean.
• Sigma = Standard deviation.
• Stream = Random number stream.

2.7.11.2.2 Continuous Skewed Distributions

Rand_Spline(Spline, Stream). This macro takes a spline describing the desired distribution. The T value of the spline is the output value, and the .y value its chance of occuring.
Parameters:

• Spline = A spline determining the distribution.
• Stream = Random number stream.

Rand_Gamma(Alpha, Beta, Stream). Gamma distribution.
Parameters:

• Alpha = Shape parameter > 0.
• Beta = Scale parameter > 0.
• Stream = Random number stream.

Rand_Beta(Alpha, Beta, Stream). Beta variate.
Parameters:

• Alpha = Shape Gamma1.
• Beta = Scale Gamma2.
• Stream = Random number stream.

Rand_Chi_Square(N, Stream). Chi Square random variate.
Parameters:

• N = Degrees of freedom (integer).
• Stream = Random number stream.

Rand_F_Dist(N, M, Stream). F-distribution.
Parameters:

• N, M = Degrees of freedom.
• Stream = Random number stream.

Rand_Tri(Min, Max, Mode, Stream). Triangular distribution
Parameters:

• Min, Max, Mode: Min < Mode < Max.
• Stream = Random number stream.

Rand_Erlang(Mu, K, Stream). Erlang variate.
Parameters:

• Mu = Mean >= 0.
• K = Number of exponential samples.
• Stream = Random number stream.

Rand_Exp(Lambda, Stream). Exponential distribution.
Parameters:

• Lambda = rate = 1/mean.
• Stream = Random number stream.

Rand_Lognormal(Mu, Sigma, Stream). Lognormal distribution.
Parameters:

• Mu = Mean.
• Sigma = Standard deviation.
• Stream = Random number stream.

Rand_Pareto(Alpha, Stream). Pareto distribution.
Parameters:

• Alpha = ?
• Stream = Random number stream.

Rand_Weibull(Alpha, Beta, Stream). Weibull distribution.
Parameters:

• Alpha = ?
• Beta = ?
• Stream = Random number stream.

2.7.11.2.3 Discrete Distributions

Rand_Bernoulli(P, Stream) and Prob(P, Stream). Bernoulli distribution. Output is true with probability equal to the value of P and false with a probability of 1 - P.
Parameters:

• P = probability range (0-1).
• Stream = Random number stream.

Rand_Binomial(N, P, Stream). Binomial distribution.
Parameters:

• N = Number of trials.
• P = Probability (0-1)
• Stream = Random number stream.

Rand_Geo(P, Stream). Geometric distribution.
Parameters:

• P = Probability (0-1).
• Stream = Random number stream.

Rand_Poisson(Mu, Stream). Poisson distribution.
Parameters:

• Mu = Mean.
• Stream = Random number stream.