Alan Genz

Numerical Analysis

1. Genz, A. and Kwong, Koon-Shing, Numerical Evaluation of Singular Multivariate Normal Probabilities. J. Stat. Comp. Simul. 68 (2000), pp. 1-21.

2. Bretz, F. Hothorn, L. and Genz, A., New Tests on Trends for Dose-Response Analysis, in Proceedings of the Biopharmaceutical Section, American Statistical Association, Alexandria, VA (2000), pp. 133-137.

3. Genz, A. and Bretz, F. Numerical Computation of Critical Values for Multiple Comparison Problems, in Proceedings of the Statistical Computing Section, American Statistical Association, Alexandria, VA (2000), pp. 84-87.

4. deDoncker, E., Cucos, L., Zanny, R. and Genz, A., Parallel Computation of the Multivariate t-Distribution, in High Performance Computing 2001, A. Tentner (Ed.), Simulation Councils, Inc. (2001), pp. 129-134.

5. Hothorn, T., Bretz, F. and Genz, A., On Multivariate t and Gauss Probabilities in R, R News 1 (2001), pp. 27-28.

6. Bretz, F., Genz, A. and Hothorn, L., On the Numerical Availability of Multiple Comparison Procedures, Biometrical Journal 43 (2001), pp. 645-656.

7. Bretz, F., Hayter, A. J. and Genz, A., Critical Point and Power Calculations for the Studentised Range Test, J. Stat. Comp. Simul. 71 (2001), pp. 85-97.

8. Genz, A. and Bretz, F., Comparison of Methods for the Computation of Multivariate t Probabilities, J. Comp. Graph. Stat. 11 (2002), pp. 950-971.

9. Genz, A. and Bretz, F., Numerical Computation of High-Dimensional Integrals for Multiple Comparison Problems, in 2002 Proceedings of the American Statistical Association, Statistical Computing Section, pp. 1145-1148, Alexandria, VA: American Statistical Association.

10. Genz, A. and Cools, R., An Adaptive Numerical Cubature Algorithm for Simplices, ACM Trans. Math. Soft. 29 (2003), pp. 297-308.

11. Genz, A., Fully Symmetric Interpolatory Rules for Multiple Integrals over Hyper-Spherical Surfaces, J. Comp. Appl. Math. 157 (2003), pp. 187-195.

12. Genz, A. and Joyce, P., Computation of the Normalization Constant for Exponentially Weighted Dirichlet Distribution Integrals, Computing Science and Statistics 35 (2003), pp. 557-563.

13. Genz, A. , Numerical Computation of Rectangular Bivariate and Trivariate Normal Probabilities, Statistics and Computing 14 (2004), pp. 251-260.

14. Genz, A., Bretz, F., and Hochberg, Yosef, Approximations to Multivariate $t$ Integrals with Application to Multiple Comparison Procedures, in Recent Developments in Multiple Comparison Procedures, Institute of Mathematical Statistics LNMS 47 (2004), pp. 24-32.

15. Joyce, P. and Genz, A. Efficient Simulation Methods for a Class of Nonneutral Population Genetics Models, to appear in Theoretical Population Biology (2007).