Generalized inverse Gaussian distributions and their Wishart connections

Scandinavian Journal of Statistics

Volumn 25, Issue 1, 1998, Pages 69-75

  Butler, Ronald W ^a  

^a Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Generalized hyperbolic distribution; Generalized inverse Gaussian distribution; Inverse Gaussian distribution; Matrix generalized hyperbolic distribution; Matrix generalized inverse Gaussian distribution

Indexed keywords

EID: 0032360547     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00089     Document Type: Article

References (12)

1. Abramowitz, M. & Stegun, I. (1972). Handbook of mathematical functions. Dover, New York.
2. Barndorff-Nielsen, O. (1978). Hyperbolic distributions and distributions on hyperbolae. Scand. J. Statist. 5, 151-157.
3. Barndorff-Nielsen, O. & Blæsild, P. (1983). Hyperbolic distributions. Encyclopedia of statistical sciences 3. (Kotz, S., Johnson, N. L. & Read, C., eds). Wiley, New York.
4. Barndorff-Nielsen, O., Blæsild, P., Jensen, J. L. & Jørgensen, B. (1982a). Exponential transformation models. Proc. Roy. Soc. Lond. A 379, 41-65.
5. Barndorff-Nielsen, O., Kent, J. & Sørensen, M. (1982b). Normal variance-mean mixtures and z distributions. Int. Statist. Rev. 50, 145-159.
6. Blæsild, P. (1979). Conditioning with conic sections in the two-dimensional normal distribution. Ann. Statist. 7, 659-670.
7. Chhikara, R. S. & Folks, J. L. (1989). The inverse Gaussian distribution. Marcel Dekker, New York.
8. Herz, C. S. (1955). Bessel functions of matrix argument. Ann. Math, 61, 474-523.
9. Johnson, N. L., Kotz, S. & Balakrishnan, N. (1994). Continuous univariate distributions, Vol. 1. Wiley, New York.
10. Jørgensen, B. (1982). Statistical properties of the generalized inverse Gaussian distribution, Lecture Notes in Statistics No. 9. Springer-Verlag, New York.
11. Muirhead, R. J. (1982). Aspects of multivariate statistical theory. Wiley, New York.
12. Seshadri, V. (1993). The inverse Gaussian distribution: a case study in exponential families. Oxford University Press, New York.