The association between two random elements: A complete characterization and odds ratio models

Metrika

Volumn 60, Issue 3, 2004, Pages 261-277

  Osius, Gerhard ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

Association; Marginal fitting; Multivariate normal distribution; Odds ratio; Semi parametric models

Indexed keywords

EID: 10044254707     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840300309     Document Type: Article

References (15)

1. Bishop YMM, Fienberg SE, Holland PW (1975) Discrete Multivariate Analysis Theory and Practice. MIT Press, Cambridge (Massachusetts)
2. Breslow NE, Day NE (1980) Statistical Methods in Cancer Research, Volume I: The Analysis of Case-Control Studies. International Agency for Research on Cancer, Lyon
3. Fienberg SE (1970) An iterative procedure for estimation in contingency tables. Annals of Statistics 41:907-917
4. Haberman SJ (1974) The Analysis of Frequency Data. The University of Chicago Press, Chicago
5. Joe H (1997) Multivariate Models and Dependence concepts. Chapman & Hall, London
6. Kullback S (1959) Information Theory and Statistics. Mineola, New York: Dover Publications (1968)
7. van der Linde A (2002a) Dimension reduction and linear discriminant functions based on an odds ratio parametrization. Mathematik-Arbeitspapiere 56, Universität Bremen (http:// www.math.uni-bremen.de/∼avdl)
8. van der Linde A (2002b) On the association between a random parameter and an observable. Mathematik-Arbeitspapiere 57, Universität Bremen (http://www.math.uni-bremen.de/∼avdl/). Final version: Test 13 (2004), 85-111
9. van der Linde A, Osius G (2003) Discrimination based on an odds ratio parametrization. Seventh Valencia International Meeting on Bayesian Statistics, June 2002. Bernando, JM et al (Eds.) Bayesian Statistics 7, 233-248, Oxford University Press
10. Nelson RB (1999) An Introduction to Copulas. Lecture Notes in Statistics 139, Springer, New York
11. Osius G (2000) The association between two random elements: A complete characterization in terms of odds ratios. Mathematik-Arbeitspapiere 53, Universität Bremen (http:// www.math.uni-bremen.de/~osius)
12. Plackett RL (1965) A class of bivariate distributions. Journal of the American Statistical Association 60:516-522
13. Plackett RL (1974) The Analysis of Categorical Data. Griffin, London
14. Rüschendorf L, Schweizer B, Taylor MD (eds.) (1996) Distributions with Fixed Marginals and Related Topics. IMS Lecture Notes-Monograph Series 28,. Institute of Mathematical Statistics, Hayward, California
15. Sinkhorn R (1967) Diagonal Equivalence to Matrices With Prescribed Row and Column Sums. American Mathematical Monthly 74: 402-405