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.