with n a non-negative integer denoting the shape parameter.
The cumulative distribution function is computed by summing the probability mass function. The percent point function is the inverse of the cumulative distribution function and is obtained by computing the cumulative distribution function until the specified probability is reached.
where <p> is a variable, a number, or a parameter in the interval (0,1);
<n> is a number or parameter that defines the upper limit of the leads in coin tossing distribution;
<y> is a variable or a parameter (depending on what <p> is) where the computed ppf value is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
LET Y = LCTPPF(P,100)
Feller (1957), "Introduction to Probability Theory", Third Edition, John Wiley and Sons, pp. 78-84.
TITLE CASE ASIS TITLE Leads in Coin Tossing Percent Point Function CR() ... (N = 50) LABEL CASE ASIS X1LABEL Probability Y1LABEL X TIC OFFSET UNITS SCREEN TIC OFFSET 3 3 PLOT LCTPPF(P,50) FOR P = 0 0.01 1
Date created: 6/20/2006