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Scripting Guide - SAS

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648 JSL Syntax Reference Appendix A<br />

Probability Functions<br />

delta Shape parameter that must be greater than 0.<br />

theta Location parameter that can be any value.<br />

sigma Parameter that defines if the distribution is skewed positively or negatively. Sigma must be equal<br />

to either +1 (skewed positively) or -1 (skewed negatively).<br />

Johnson Su Density(q, gamma, delta, theta, sigma)<br />

Description<br />

Returns the density at q of a Johnson Su distribution.<br />

Arguments<br />

q A value that is between -infinity and +infinity.<br />

gamma Shape parameter that can be any value.<br />

delta Shape parameter that must be greater than 0.<br />

theta Location parameter that can be any value.<br />

sigma Scale parameter that must be greater than 0.<br />

Johnson Su Distribution(q, gamma, delta, theta, sigma)<br />

Description<br />

Returns the probability that a Johnson Su-distributed random variable is less than q.<br />

Arguments<br />

q A value that is between -infinity and +infinity.<br />

gamma Shape parameter that can be any value.<br />

delta Shape parameter that must be greater than 0.<br />

theta Location parameter that can be any value.<br />

sigma Scale parameter that must be greater than 0.<br />

Johnson Su Quantile(p, gamma, delta, theta, sigma)<br />

Description<br />

Returns the quantile whose value for which the probability is p that a random value would be lower.<br />

Arguments<br />

p The probability of the quantile desired; p must be between 0 and 1.<br />

gamma Shape parameter that can be any value.<br />

delta Shape parameter that must be greater than 0.<br />

theta Location parameter that can be any value.<br />

sigma Scale parameter that must be greater than 0.<br />

LEV Density(x, mu, sigma)<br />

Description<br />

Returns the density at x of the largest extreme value distribution with location mu and scale sigma.

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