Born 1945 in Copenhagen.

Master in mathematics, University of Copenhagen 1969.

Ph.d. in statistics, University of Copenhagen 1974.

Assistent (later associate)
professor at Institute of Mathematical Statistics, University of Copenhagen
1969-96.

Chairman of dept. 1983-86.

Chairman of The Danish
Society for Theoretical Statistics 1984-86.

From 1996 professor at Copenhagen Business School, The
Statistics Group.

Retired in 2010.

My research interests during the years have developed from the foundations of probability and statistics, via applied statistics, design of experiments, variance component models and other statistical models to statistical computing and problems related to applications in business and management. The hot topics during the years at CBS have been

Statistical methods in credit scoring

The development and improvement of my statistics package
ISUW

Probability inequalites related to the Stringer bound

Statistical methods in marketing research

R-square statistics in logistic regression

At University of Copenhagen, I have given courses for statistics students on advanced probability, analysis of variance, generalised linear and related models, applied statistics, Markov chain Monte Carlo and general asymptotic theory. At Copenhagen Business School I have been lecturing for the mathematics-economics students on a graduate course on basic statistics and probability and a post-graduate course on the applications of statistics to business and management.

**Research publications.**

Tjur, T. (1972).

*On The Mathematical Foundations of Probability.*

Institute of Mathematical Statistics, University of Copenhagen.

Lecture Notes No.**1**, 170 pages.

Institute of Mathematical Statistics, University of Copenhagen.

Lecture Notes No.

Tjur, T. (1974).

*Conditional Probability Distributions.*

Institute of Mathematical Statistics, University of Copenhagen.

Lecture Notes No.**2**, 356 pages (Ph.D. thesis).

Institute of Mathematical Statistics, University of Copenhagen.

Lecture Notes No.

Tjur, T. (1978).

*Statistical inference under the likelihood principle.*

Institute of Mathematical Statistics, University of Copenhagen.

Preprint No.**1** (26 pages).

Institute of Mathematical Statistics, University of Copenhagen.

Preprint No.

Tjur, T. (1980).

*Probability Based on Radon Measures.*

Wiley, New York, 224 pages.

Wiley, New York, 224 pages.

Bjældager, Jensen, Larsen, Lauritsen, Paulev and Tjur (1981).

Inter-laboratory comparison of acid-base variables in human blood and in quality control materials.

*Clinica Chimica Acta* **116**, pp. 289-300.

Inter-laboratory comparison of acid-base variables in human blood and in quality control materials.

Tjur, T. (1982).

A connection between Rasch's item analysis model and a multiplicative Poisson model.

*Scandinavian Journal of Statistics* **9**, pp. 23-30.

A connection between Rasch's item analysis model and a multiplicative Poisson model.

Tjur, T. (1984).

Analysis of variance models in orthogonal designs.

*International Statistical Review* **52**, pp. 33-65.

(With discussion by R. A. Bailey, T. P. Speed and H. P. Wynn).

Analysis of variance models in orthogonal designs.

(With discussion by R. A. Bailey, T. P. Speed and H. P. Wynn).

Tjur, T. (1988).

*Statistical Tables for Personal Computer Users.*

Institute of Mathematical Statistics, University of Copenhagen.

Preprint No.**5**, 11 pages.

With a program for IBM-compatible PC's on diskette. An updated version**WinT** (for windows)
can be downloaded from My download page.

Institute of Mathematical Statistics, University of Copenhagen.

Preprint No.

With a program for IBM-compatible PC's on diskette. An updated version

Tjur, T. (1990).

A new upper bound for the efficiency of a block design.

*Australian Journal of Statististics* **32**, pp. 231-237.

A new upper bound for the efficiency of a block design.

Tjur, T. (1990)

Kolmogorovs konsistenssætning.

Article in a local newsletter for the math students at University of Copenhagen.

In Danish.

Kolmogorovs konsistenssætning.

Article in a local newsletter for the math students at University of Copenhagen.

In Danish.

Tjur, T. (1991).

Analysis of Variance and Design of Experiments.

*Scandinavian Journal of Statistics* **18**, pp. 273-322.

With discussion by R. Sundberg and I. Helland.

Analysis of Variance and Design of Experiments.

With discussion by R. Sundberg and I. Helland.

Tjur, T. (1991).

Block designs and electrical networks.

*Annals of Statistics* **19**, pp. 1010-1027.

Block designs and electrical networks.

Tjur, T. (1993).

An algorithm for optimization of block designs.

*Journal of Statistical Planning and Inference* **36** pp. 277-282.

An algorithm for optimization of block designs.

Tjur, T. (1994).

*Some Paradoxes Related to Sequential Situations.*

Institute of Mathematical Statistics, University of Copenhagen.

Preprint**4**, 8 pages.

Institute of Mathematical Statistics, University of Copenhagen.

Preprint

Astrup, Buemann, Bennett, Christensen and Tjur (1995)

Prognostic markers for diet-induced weight loss in obese women.

*International Journal of Obesity* **19**, 275-278.

Prognostic markers for diet-induced weight loss in obese women.

Tjur, T. (1998)

Nonlinear regression, quasi-likelihood, and over-dispersion in generalized linear models.

*The American
Statistician* vol. **52**, no. 3, pp. 222-227.

Nonlinear regression, quasi-likelihood, and over-dispersion in generalized linear models.

Kronborg, D., Vincents, B. and Tjur, T. (1998)

*Credit scoring: Discussion of methods and a case study.*

Dept. of Management Science and Statistics, Copenhagen Business School.

Preprint**7**, 31 pages.

Dept. of Management Science and Statistics, Copenhagen Business School.

Preprint

Tjur, T. (1999)

Hvad er tilfældighed?

Contribution in connection with a conference at Roskilde University Center on the history and philosophy of probability.

In Danish.

Hvad er tilfældighed?

Contribution in connection with a conference at Roskilde University Center on the history and philosophy of probability.

In Danish.

Tjur, T. (2000)

Invited discussion of P. McCullagh: Invariance and factorial models.

*J. R. Statist. Soc B* **62**, pp. 238-239.

Invited discussion of P. McCullagh: Invariance and factorial models.

Tjur, T. (2002)

*Logistic regression models for single-source data - a simulation study.*

Dept. of Management Science and Statistics, Copenhagen Business School.

Preprint**4**, 12 pages.

Dept. of Management Science and Statistics, Copenhagen Business School.

Preprint

Tjur, T. (2002)

Invited discussion of P. McCullagh: What is a statistical model?

*Annals of Statistics* vol. **30**, no. 5, pp. 1297-1300.

Invited discussion of P. McCullagh: What is a statistical model?

Tjur, T.

*A warning concerning random effects and random
coefficients in logistic regression models for binary data.*

The Statistics Group, Copenhagen Business School.

Preprint**1**, 9 pages.

The Statistics Group, Copenhagen Business School.

Preprint

Hougaard, J.L., Tjur, T. and Østerdal, L.P. (2004)

*The role of preference axioms and
respondent behaviour in statistical models for discrete choice.*

Center for Statistics, Copenhagen Business School.

Preprint**1**, 17 pages.

Center for Statistics, Copenhagen Business School.

Preprint

Tjur, T. (2005)

*Introduction to ISUW.*

The Statistics Group, Copenhagen Business School.

Working paper. The statistics package ISUW can be downloaded from My download page.

The Statistics Group, Copenhagen Business School.

Working paper. The statistics package ISUW can be downloaded from My download page.

Birch, K., Olsen, J.K. and Tjur, T. (2005)

*Regression Models for Market-Shares.*

Center for Statistics, Copenhagen Business School.

Preprint**1**, 17 pages.

Center for Statistics, Copenhagen Business School.

Preprint

Tjur, T. (2005)

Invited discussion of Andrew Gelman: Analysis of Variance - why it is more important than ever.

*Annals of Statistics* vol. **33**, no. 1, pp. 31-32.

Invited discussion of Andrew Gelman: Analysis of Variance - why it is more important than ever.

Tjur, T. (2007)

*Sequential Measurement Schemes, Prequential Inference and The Dickey-Fuller Test.*

Manuscript, revised and extended version of the paper "Some Paradoxes Related to Sequential Situations" from 1994.

Manuscript, revised and extended version of the paper "Some Paradoxes Related to Sequential Situations" from 1994.

Eslava, G. and Tjur, T. (2008)

*A simple two-stage method as an alternative to random effects models
for binary clustered data.*

Preprint**3**, 17 pages.

Departamento de Matematicas, UNAM, Ciudad Universitaria.

Preprint

Departamento de Matematicas, UNAM, Ciudad Universitaria.

Tjur, T. (2008)

Coefficients of determination in logistic regression models - a new proposal: The coefficient of discrimination.

Center for Statistics, Copenhagen Business School.

*The American
Statistician* vol. **63** no. 4: 366-372.

Coefficients of determination in logistic regression models - a new proposal: The coefficient of discrimination.

Center for Statistics, Copenhagen Business School.

Tjur, T. (2009)

*Statistics in The Computer Age.*

Opening Lecture DSC2009.

*Computational Statistics*, vol. 26 no. 3, pp 371 to 379.

The original publication will be available at www.springerlink.com.

Opening Lecture DSC2009.

The original publication will be available at www.springerlink.com.

Tjur, T. (2010)

*Inequalities related to The Stringer Bound.*

Retirement lecture manuscript, revised 16th July 2010.

Retirement lecture manuscript, revised 16th July 2010.