> > Gamma.java specifically mentioned that is was based on "Numerical > Recipes in C" which is not available under a license compatible with the > ASL.
What is specifically mentioned was "is based on the formulas and descriptions" found in NR and it clearly states in http://www.nr.com/com/info-copyright.html that "Of course, the mathematical algorithms that underly the programs are not copyrightable..." 1) logGamma is derived using (6.1.3) and (6.1.5) from NR and the Paul Godfrey's paper on Lanczos coefficients found at http://my.fit.edu/~gabdo/gamma.txt. 2) regularizedGammaP is derived using (6.2.1) and (6.2.5) from NR. I also have hand-written notes on how I derived the implementation from those formulas that I would be happy to provide for your viewing. 3) ChiSquaredDistribution and GammaDistribution are based on (6.2.1) and (6.2.18) from NR and the fact that ChiSquared(v) ~ Gamma(v/2, 2) which can be found in Casella and Berger. The t-distribution patch has several modifications to the comments of all the mentioned classes with links to all the cited material. Also, the t patch makes use of other mathematical algorithms found in NR. A) The continued fraction class is based on (5.2.1) and the modified Lentz algorithm defined in that same section and accredited to Thompson and Barnett. B) logGamma uses the cf class and (6.2.7) from NR to provide better convergence than the series. C) logBeta uses (6.1.9) from NR. D) regularizedBeta is derived using the cf class and (6.4.1), (6.4.5) and (6.4.6) from NR. E) TDistribution is based on (6.4.9) from NR. Brent Worden http://www.brent.worden.org --------------------------------------------------------------------- To unsubscribe, e-mail: [EMAIL PROTECTED] For additional commands, e-mail: [EMAIL PROTECTED]
