Mention Bezier cumulative probability distriutions

[ptroy1]

Hi

In your book, you might wish to mention the use of Bezier curves to empirically model arbitrarily complication cumulative probability distributions. They have several advantages (particularly for univariate distriutions):

• The derivatives can be used (to easily) calculate probaility density function approximations

• Fixed end points relating to a cumulative probability of 0 and a cumulative probability of 1.0

• They make no assumptions about matching other (arbitrary) probability distributions

An article about them can be found at https://informs-sim.org/wsc93papers/1993_0052.pdf

Phil Troy