- AitchisonJ. (1963). Inverse Distributions and Independent Gamma-Distributed Products of Random Variables. Biometrika, 50, 505–509.
- BaldessariB. (1965). Osservazioni Sulle Funsioni Caratterische Di Alcune Classi Di V. C. n-dimensionali. Publicazloni della Seconda Serie dell, Instituto di Calcolo delle Probabilita dell' Universita di Roma, 49, 1–11.
- BoxG. E. P. and HunterJ. S. (1957). Multi-Factor Experimental Designs for Exploring Response Surfaces. Annals of Mathematical Statistics, 28, 195–241.
- CoolidgeJ. L. (1940). A History of Geometrical Methods. Oxford University Press, London.
- EdwardsJ. (1922). A Treatise on the Integral Calculus. 2. Macmillan, New York.
- EldertonW. P. (1938). Frequency Curves and Correlation. 3rd edition, Cambridge.
- GradshteynI. S. and RyzhikI. M. (1965), Table of Integrals. Series and Products. Academic Press, New York.
- HastingsC., HostellerF., TukeyJ. W. and WinsorC. P. (1947). Low Moments for Small Samples: A Comparative Study of Order Statistics. Annals of Mathematical Statistics, 18, 413–426.
- HoggR. V. (1961). On the Resolution of Statistical Hypotheses, Journal of the American Statistical Association, 56, 978–989.
- JohnsonN. L. and KotzS. (1972). Distributions in Statistics: Continuous Multivariate Distributions, John Wiley & Sons, Inc., New York.
- JoinerB. L. and RosenblattJ. R. (1971). Some properties of Range in Samples from Tukey's Symmetric Lambda Distributions. Journal of the American Statistical Association, 66, 992–995.
- KelkerD. (1970). Distribution Theory of Spherical Distributions and a Location-Scale Parameter Generalization. Sankhyā, Series A, 32, 419–430.
- KendallM. G. and StuartA. (1969). The Advanced Theory of Statistics, 1, Charles Griffin & Co., Ltd., London.
- KlamkinM. S. (1971). Extensions of Dirichlet's Multiple Integral. SIAM Journal on Mathematical Analysis, 2, 467–469.
- LordR. D. (1954). The Use of Hankel Transforms in Statistics, I, General Theory and Examples. Biometrika, 41, 44–55.
- McGrawD. K. and WagnerJ. F. (1968). Elliptically Symmetric Distributions. IEEE Transactions on Information Theory, 14, 110–120.
- RambergJ. S., DudewiczE, J., TadikamallaP. R. and MykytkaE. F. (1979). A Probability Distribution and Its Uses in Fitting Data. Technometrics, 21, 201–214.
- SivazlianB. D. (1969). The Generalized Dirichlet's Multiple Integral. SIAM Review. 11, 285–288.
- SivazlianB. D. (1971). A Class of Multiple Integrals. SIAM Journal on Mathematical Analysis, 2, 72–75.
- SivazlianB. D. (1981). On a Multivariate Extension of the Gamma and Beta Distributions, SIAM Journal on Applied Mathematics, 41, 205–209.
- SivazlianB. D. (1981). A Class of Multivariate Distributions. Australian Journal of Statistics, 32, 251–255.
- Sobel, M., UppuluriV. R. R. and FrankowskiK. (1977). Selected Tables in Mathematical Statistics. Vol. 14, Dirichlet Distribution - Type 1. American Mathematical Society, ProvidenceRhode Island.
- WhittakerE. T. and WatsonG. N. (1927). A Course of Modern Analysis, Cambridge University Press, London.
The Incomplete Liouville Multiple Integral and its Application
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.