Krawtchouk matrices
In mathematics, Krawtchouk matrices are matrices whose entries are values of Krawtchouk polynomials at nonnegative integer points.
The Krawtchouk matrix K is an × matrix. Here are the first few examples:
In general, for positive integer, the entries are given via the generating function
where the row and column indices and run from to.
These Krawtchouk polynomials are orthogonal with respect to symmetric binomial distributions,.
