13th International Workshop on Matrices and Statistics B¸edlewo, Poland August 18–21, 2004 Program and abstracts Organizers • Stefan Banach International Mathematical Center, Warsaw • Committee of Mathematics of the Polish Academy of Sciences, Warsaw • Faculty of Mathematics and Computer Science, Adam Mickiewicz Uni- versity, Pozna´n • Institute of Socio-Economic Geography and Spatial Management, Faculty of Geography and Geology, Adam Mickiewicz University, Pozna´n • Department of Mathematical and Statistical Methods, Agricultural Uni- versity, Pozna´n This meeting has been endorsed by the International Linear Algebra Society. II Sponsors of the 13th International Workshop on Matrices and Statistics III Mathematical Research and Conference Center in B¸edlewo IV edited by A. Markiewicz Department of Mathematical and Statistical Methods, Agricultural University, Pozna´n,Poland and W. Wo ly´nski Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna´n,Poland Contents Part I. Introduction Poetical Licence The New Intellectual Aristocracy ............ 3 Richard William Farebrother Part II. Local Information Part III. Program Part IV. Ingram Olkin Ingram Olkin, Statistical Statesman .......................... 21 Yadolah Dodge Why is matrix analysis part of the statistics curriculum ...... 25 Ingram Olkin A brief biography and appreciation of Ingram Olkin .......... 31 A conversation with Ingram Olkin ............................ 34 Bibliography .................................................. 58 Part V. Abstracts Asymptotic distribution of a set of linear restrictions on re- gression coefficients ........................................... 75 T. W. Anderson On the optimality of a class of designs with three concurences 76 Sunanda Bagchi Relationships between partial orders of Hermitian matrices and their powers .............................................. 77 Jerzy K. Baksalary Further generalizations of a property of orthogonal projectors 78 Jerzy K. Baksalary, Oskar Maria Baksalary, and Paulina Kik VI Adaptive designs for clinical trials: An overview .............. 79 Thomas Benesch Schwarz iterations for singular systems of Markov chains ..... 80 Rafael Bru, Francisco Pedroche, and Daniel B. Szyld A specific form of the generalized inverse of a partitioned matrix useful in econometrics ................................. 81 Jerzy K. Baksalary, Katarzyna Chyli´nska, and George P.H. Styan The singular value decomposition as a basic tool in generalized canonical analysis and related linear models .................. 82 Carlos A. Coelho Blind identification of linear mixtures ........................ 83 Pierre Comon Exact distributions for certain linear combinations of Chi- Squares ....................................................... 84 Ricardo Covas and Jo˜aoTiago Mexia Parametric multiple correspondence analysis ................. 85 Carles M. Cuadras Optimal designs for total effects .............................. 86 R. A. Bailey and Pierre Druilhet Linear minimax-estimation in the three parameter case ...... 87 Hilmar Drygas and Stefan Heilmann Nonnegative matrices, max-algebra and applications .......... 88 Ludwig Elsner On optimality of binary designs under interference models .... 89 Katarzyna Filipiak and Augustyn Markiewicz Numerical methods for solving least squares problems with constraints.................................................... 90 Gene H. Golub Sequential method in discriminant analysis ................... 91 Tomasz G´orecki Restricted ridge estimation ................................... 92 J¨urgen Groß Quadratic subspaces and construction of admissible estima- tors of variance components .................................. 93 Mariusz Grz¸adziel VII How to avoid an overinterpretation of the results of statistical analyzes in medical research .................................. 94 Jan Hauke and Waldemar Wo ly´nski Mixing times and their application to perturbed Markov chains 95 Jeffrey J. Hunter Linear prediction sufficiency for new observations in the gen- eral Gauss–Markov model .................................... 96 Jarkko Isotalo and Simo Puntanen Words in two positive definite letters ......................... 97 Charles R. Johnson Two local operators and the BLUE ........................... 98 Rados law Kala and Pawe l Pordzik Characterizations of the commutativity of projectors referring to generalized inverses of their sum and difference ............ 99 Oskar Maria Baksalary and Paulina Kik An explicit expression for the Fisher information matrix of a multiple time series process ................................... 100 Andr´eKlein Multivariate skewness and kurtosis measures ................. 101 T˜onu Kollo Analysis of growth curve data by using cubic smoothing splines102 Laura Koskela and Tapio Nummi Trip matrix estimation for suburban quarters ................. 103 Micha l Beim and Tomasz Kossowski Invariance of matrix expressions with respect to specific classes of generalized inverses ........................................ 104 Jerzy K. Baksalary and Anna Kuba On optimal cross-over designs when carry-over effects are pro- portional to direct effects ..................................... 105 R. A. Bailey and J. Kunert Criteria for the comparison of discrete-time Markov chains ... 106 Mourad Ahmane, James Ledoux, and Laurent Truffet Data driven score test of fit for semiparametric homoscedastic linear regression model ...................................... 107 Tadeusz Inglot and Teresa Ledwina VIII The MDL model choice for linear regression .................. 109 Erkki P. Liski A new rank revealing tri-orthogonalization algorithm and its applications ................................................... 110 Andrzej Ma´ckiewicz Sharp estimates on the tail behaviour of some random inte- grals and their application in statistics ........................ 111 P´eterMajor Estimation of location and scale parameters using k-th record values ........................................................ 113 Iwona Malinowska, Piotr Pawlas, and Dominik Szynal Optimum choice of covariates in BIBD setup ................. 114 Ganesh Dutta and Nripesh K. Mandal Optimal experimental designs when most treatments are un- replicated ..................................................... 115 Richard J. Martin Numerical solution of the eigenvalue problem for the Ander- son Model .................................................... 116 U. Elsner, V. Merhmann, R. Roemer, and M. Schreiber Statistical analysis of normal orthogonal models with empha- sis on their algebraic structure in view of obtaining effcient statistics for inference ........................................ 117 Miguel Fonseca, Jo˜ao Tiago Mexia, and Roman Zmy´slony Permutation invariant covariance marices ..................... 120 Tatjana Nahtman Linear prediction for electricity consumption with Levy dis- tribution...................................................... 121 Hassan Naseri and Javad Berijanian On the structure of a class of normal decomposition systems . 122 Marek Niezgoda Some notes on scatter matrices and independent component analysis (ICA) ............................................... 123 Hannu Oja Inequalities: some probabilistic, some matric, and some both . 124 Ingram Olkin IX Meta-analysis: combining information from independent studies125 Ingram Olkin Unitary invariant random Hermitian matrices and complex elliptical distributions ........................................ 126 Esa Ollila and Visa Koivunen Population equilibrium and its fitness in evolutionary matrix games ........................................................ 127 Tadeusz Ostrowski On linear sufficiency with respect to given parametric functions128 Pawe l Pordzik On common divisors of matrices over principal ideal domain .. 129 Volodymyr Prokip On decomposing the Watson efficiency of ordinary least squares in a partitioned weakly singular linear model ................. 130 Ka Lok Chu, Jarkko Isotalo, Simo Puntanen, and George P.H. Styan Spectral matrix decomposition in geographical research ...... 131 Waldemar Ratajczak Some results on patterned matrices ........................... 132 Dietrich von Rosen Survival analysis in SAS ...................................... 133 Irena Roterman-Konieczna One-dimensional optimal bounded-shape partitions for Schur convex sum objective functions ............................... 134 F.H. Chang, H.B. Chen, J.Y. Guo, F.K. Hwang, and U.G. Rothblum Reliability analysis in linear models ........................... 135 Jackson Cothren and Burkhard Schaffrin Some combinatorial aspects of a counterfeit coin problem ..... 136 S. B. Rao, Prasada Rao, and Bikas K. Sinha One-sample spatial sign and rank methods .................... 137 Seija Sirki¨a and Hannu Oja Canonical form of a linear model and its applications ......... 138 Czes law St¸epniak X Inequalities and equalities for the generalized efficiency func- tion in orthogonally partitioned linear models ................ 139 Ka Lok Chu, Jarkko Isotalo, Simo Puntanen, and George P.H. Styan Almost sure Central Limit Theorem for subsequences ........ 140 Konrad Szuster Interpolation of measure of non-compactness and applications to spectral theory ............................................ 141 Rados law Szwedek Two interesting metric matrices in statistics .................. 142 Yoshio Takane and Haruo Yanai On projectors with respect to seminorms ..................... 143 Yongge Tian and Yoshio Takane Bias of regression estimator in survey sampling ............... 144 Keit Musting