A bivariate F distribution with marginals on arbitrary numerator and denominator degrees of freedom, and related bivariate beta and t distributions

Chaloner KM, Duncan GT (1983) Assessment of a beta distribution: PM elicitation. Statistician 32: 174–180

Cole BF, Lee MLT, Whitmore GA, Zaslavsky AM (1995) An empirical Bayes model for Markov-dependent binary sequences with randomly missing observations. J Am Stat Assoc 90: 1364–1372

Garthwaite PH, Kadane JB, O’Hagan A (2005) Statistical methods for eliciting probability distributions. J Am Stat Assoc 100: 680–700

Gradshteyn IS, Ryzhik IM (1994) Table of integrals, series, and products, 5th edn. Jeffrey A (ed) Academic Press, San Diego

Hutchinson TP, Lai CD (1990) Continuous bivariate distributions, emphasising applications. Rumsby, Adelaide

Joe H (1997) Multivariate models and dependence concepts. Chapman and Hall, London

Johnson NL, Kotz S (1972) Distributions in statistics: continuous multivariate distributions. Wiley, New York

Johnson NL, Kotz S, Balakrishnan N (1994a) Continuous univariate distributions, vol 1, 2nd edn. Wiley, New York

Johnson NL, Kotz S, Balakrishnan N (1994b) Continuous univariate distributions, vol 2, 2nd edn. Wiley, New York

Jones MC (2001) Multivariate t and beta distributions associated with the multivariate F distribution. Metrika 54: 215–231

Jones MC (2002) A dependent bivariate t distribution with marginals on different degrees of freedom. Stat Probab Lett 56: 163–170

Jones MC, Faddy MJ (2003) A skew extension of the t distribution, with applications. J R Stat Soc Ser B 65: 159–174

Kimball AW (1951) On dependent tests of significance in the analysis of variance. Ann Math Stat 22: 600–602

Kotz S, Nadarajah S (2004) Multivariate t distributions and their applications. Cambridge University Press, Cambridge

Lee MLT (1996) Properties and applications of the Sarmanov family of distributions. Commun Stat Theory Meth 25: 1207–1222

Libby DL, Novick MR (1982) Multivariate generalized beta distributions with applications to utility assessment. J Educ Stat 7: 271–294

Maplesoft (2005) Maple 10 software, http://www.maplesoft.com

Nelsen RB (2006) An introduction to copulas, 2nd edn. Springer, London

Olkin I, Liu R (2003) A bivariate beta distribution. Stat Probab Lett 62: 407–412

Pham-Gia T, Duong QP (1989) The generalized beta-distributions and F-distributions in statistical modeling. Math Comput Model 12: 1613–1625

Sarmanov OV (1966) Generalized normal correlation and two dimensional Fréchet classes. Doklady AN SSSR 168: 32–35

Winkler RL (1967) The assessment of prior distributions in Bayesian analysis. J Am Stat Assoc 62: 776–800

Zhang S, Jin J (1996) Computation of special functions. Wiley, New York