Advanced search
Publication Cover
Journal of the American Statistical Association Volume 90, 1995 - Issue 430
Submit an article Journal homepage
36
Views
12
CrossRef citations to date
0
Altmetric
Theory and Method

A Family of Bivariate Densities Constructed from Marginals

Dou Long Skadden, Arps, Slate, Meagher and Horn, Washington, DC, 20005
&
Roman Krzysztofowicz Systems Engineering and Statistics, University of Virginia, Charlottesville, VA, 22903
Pages 739-746 | Received 01 Jun 1991, Published online: 27 Feb 2012

References

  • Farlie , D. J. G. 1960 . “The Performance of Some Correlation Coefficients for a General Bivariate Distribution,” . Biometrika , 47 : 307 – 323 .
  • Genest , C. 1987 . “Frank's Family of Bivariate Distributions,” . Biometrika , 74 : 549 – 555 .
  • Gumbel , E. J. 1958 . “Distributions á Plusieurs Variables Dont les Marges Sont Données” . Comptes Rendus de l'Académie des Science , 246 : 2717 – 2720 . (with remarks by M. Fréchet)
  • Huang , J. S. and Kotz , S. 1984 . “Correlation Structure in Iterated Farlie-Gumbel-Morgenstern Distributions,” . Biometrika , 71 : 633 – 636 .
  • Johnson , N. L. and Kotz , S. 1977 . “On Some Generalized Farlie–Gumbel–Morgenstern Distributions–II: Regression, Correlation, and Further Generalizations,” . Communications in Statistics , 6 : 485 – 496 .
  • Kotz , S. , Patil , G. P. , Kotz , S. and Ord , J. K. 1975 . “Multivariate Distributions at a Cross Road,” . In Statistical Distributions in Scientific Work , Vol. 1 , 247 – 270 . Dordrecht , , The Netherlands : D. Reidel .
  • Kotz , S. and Seeger , J. P. 1991 . “A New Approach to Dependence in Multivariate Distributions,” . In Advances in Probability Distributions with Given Marginals , Edited by: Dall'Aglio , G. , Kotz , S. and Salinetti , G. 113 – 127 . Dordrecht , , The Netherlands : Kluwer .
  • Lehmann , E. L. 1966 . “Some Concepts of Dependence,” . Annals of Mathematical Statistics , 37 : 1137 – 1153 .
  • Mardia , K. V. 1970 . Families of Bivariate Distributions , Darien , CT : Hafner .
  • Marshall , A. W. and Olkin , I. 1988 . “Families of Multivariate Distributions,” . Journal of the American Statistical Association , 83 : 834 – 841 .
  • Morgenstern , D. 1956 . “Einfache Beispiele Zweidimensionaler Verteilungen,” . Mitteilungeblatt für Mathematische Statistik , 8 : 234 – 235 .
  • Nelsen , R. B. 1991 . “Copulas and Association,” . In Advances in Probability Distributions with Given Marginals , Edited by: Dall'Aglio , G. , Kotz , S. and Salinetti , G. 51 – 74 . Dordrecht , , The Netherlands : Kluwer .
  • Plackett , R. L. 1965 . “A Class of Bivariate Distributions,” . Journal of the American Statistical Association , 60 : 516 – 522 .
  • Schucany , W. R. , Parr , W. C. and Boyer , J. E. 1978 . “Correlation Structure in Farlie–Gumbel–Morgenstern Distributions,” . Biometrika , 65 : 650 – 653 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.