ABSTRACT
Chen and Chou (2000) provided a simple representation for the pdf:
where
are the generalized Laguerre polynomials. These polynomials are readily obtained by the recurrence relations:
where
They showed further that ?/>(•) satisfies the differential equation
Figure 4. Type I noncentral beta pdfs for
Figure 5. Type I noncentral beta pdfs for and 1, 2, 3.