Association and Odds Ratio Models

A. Franke and G. Osius (2011, revised 2012): The Asymptotic Covariance Matrix of the Odds Ratio Parameter Estimator in Semiparametric Log-bilinear Odds Ratio Models. Universität Bremen.
Available at http://arxiv.org/abs/1105.0852v1 (04-May-2011) and http://arxiv.org/abs/1105.0852v2 (13-April-2012).

A. Franke (2010): Invariance Properties of the Asymptotic Distribution of the Odds Ratio Parameter Estimator with respect to Different Sampling Schemes and Asymptotic Approaches in Semiparametric Odds Ratio Models with Log-bilinear Association. Diploma thesis (Supervisor: G. Osius), Universität Bremen.
PDF (Full text), Abstract

G. Osius (2009): Asymptotic inference for semiparametric association models.
The Annals of Statistics 37, 459-489
PDF (with corrections) © Institute of Mathematical Statistics, 2009. The original publication is available at http://imstat.org/aos/

G. Osius (2006): Semiparametric association models: Estimation and asymptotic inference. Mathematik-Arbeitspapiere No. 60, Universität Bremen
First version of the publication in The Annals of Statistics 37 (2009), 459-489
PDF (5-Oct-2006)

G. Osius (2004): The association between two random elements: A complete characterization in terms of odds ratios.
Metrika 60, 261-277
PDF (taken from source below, © Springer-Verlag 2004. The original publication is available at springerlink.com: http://www.springerlink.com/index/10.1007/s001840300309

A. van der Linde and G. Osius (2003): Discrimination based on an odds ratio parametrization
In: J.M. Bernardo et al. (Eds.), Bayesian Statistics 7, pp. 233-248. Oxford University Press
PDF

G. Osius (2000): The association between two random elements: A complete characterization in terms of odds ratios. Mathematik-Arbeitspapiere No. 53, Universität Bremen.
PDF (Text: 24-Sept-2004, PDF: 16-March-2006),  Abstract,
Revised paper  (Text: 24-Sept-2004, PDF: 16-March-2006),
A shorter version (proofs only sketched) is published in Metrika (2004).

G. Osius (1993): Separating agreement from association in log-linear models for square contingency tables with applications. Mathematik-Arbeitspapiere No. 43, Universität Bremen.
PDF  (Text: 23-Jan-2001, PDF: 16-March-2006), Abstract
Extended and revised version of the publication in Computational Statistics 12 (1997), 311-328:
Log-linear models for association and agreement in stratified square contingency tables.
PDF (Text: 2-Feb-2000, PDF: 16-March-2006), Abstract

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Case-Control-Studies

G. Osius (2001): A formal derivation of the conditional likelihood for matched case-control studies. Mathematik-Arbeitspapiere No. 55, Universität Bremen. .
PDF (Text: 7-Feb-2001, PDF: 16-March-2006), Abstract

A. van der Linde and G. Osius (1997): Estimation of nonparametric risk functions in matched case-control studies. Mathematik-Arbeitspapiere No. 49, Universität Bremen.
First version of the publication in Statistics in Medicine 20 (2001), 1639-1662
PDF (Text: 7-Mar-2001, PDF: 16-March-2006), Abstract

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Goodness-of-Fit 

U. Müller and G. Osius (1998): Asymptotic normality of goodness-of-fit statistics for sparse Poisson data. Mathematik-Arbeitspapiere No. 51, Universität Bremen.
PDF (Text: Jan-1998, PDF: 16-March-2006), Abstract
Extended, revised paper (Text: 21-Dec-2001, PDF: 16-March-2006), Abstract 
The final version is published in: Statistics 37 (2003), 119-143.

G. Osius (1994): Evaluating the significance level of goodness-of-fit statistics for large discrete data.

PDF (Text: 28-Feb-1994, PDF: 12-April-2006)

Published in: Dirschedl, P. and Ostermann, R. (Eds.), Computational Statistics, Physica-Verlag Heidelberg, 1994.

G. Osius and D. Rojek (1989): Normal goodness-of-fit tests for parametric multinomial models with large degrees of freedom. Mathematik-Arbeitspapiere No. 36, Universität Bremen.
With two applications not included in the publication in the J. American Statistical Assoc. 87 (1992), 1145-1152.
PDF (Text: 10-Jan-2001, PDF: 11-March-2006),  Abstract

G. Osius (1985): Goodness-of-fit tests for binary data with (possible) small expectations but large degrees of freedom.
Statistics & Decisions, Supplement Issue No. 2, 213-224

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Miscellaneous

G. Osius (1989): Some results on convergence of moments and convergence in distributions with applications in statistics.Mathematik-Arbeitspapiere No. 33, Universität Bremen.
PDF (Text: 8-Jan-2001, PDF: 11-March-2006),  Abstract