Ebook: Proceedings of the International Conference on Linear Statistical Inference LINSTAT ’93

The International Conference on Linear Statistical Inference LINSTAT'93 was held in Poznan, Poland, from May 31 to June 4, 1993. The purpose of the confer­ ence was to enable scientists, from various countries, engaged in the diverse areas of statistical sciences and practice to meet together and exchange views and re­ sults related to the current research on linear statistical inference in its broadest sense. Thus, the conference programme included sessions on estimation, prediction and testing in linear models, on robustness of some relevant statistical methods, on estimation of variance components appearing in linear models, on certain gen­ eralizations to nonlinear models, on design and analysis of experiments, including optimality and comparison of linear experiments, and on some other topics related to linear statistical inference. Within the various sessions 22 invited papers and 37 contributed papers were presented, 12 of them as posters. The conference gathered 94 participants from eighteen countries of Europe, North America and Asia. There were 53 participants from abroad and 41 from Poland. The conference was the second of this type, devoted to linear statistical inference. The first was held in Poznan in June, 4-8, 1984. Both belong to the series of confer­ ences on mathematical statistics and probability theory organized under the auspices of the Committee of Mathematics of the Polish Academy of Sciences, due to the ini­ tiative and efforts of its Mathematical Statistics Section. In the years 1973-1993 there were held in Poland nineteen such conferences, some of them international.

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Content:
Front Matter....Pages i-xviii
Increments for (CO)Kriging with Trend and Pseudo-Covariance Estimation....Pages 1-11
On the Representation of the Minimax Linear Estimator in the Convex Linear Model....Pages 13-26
Estimation of Parameters in a Special Type of Random Effects Model....Pages 27-34
Recent Results in Multiple Testing: Several Treatments vs. A Specified Treatment....Pages 35-46
On Diagnosing Collinearity-Influential Points in Linear Regression....Pages 47-51
Using Nonnegative Minimum Biased Quadratic Estimation for Variable Selection in the Linear Regression Model....Pages 53-63
Partial Least Squares and a Linear Model....Pages 65-71
One-Way Analysis of Variance Under Tukey Contamination: A Small Sample Case Simulation Study....Pages 73-78
A Note on Robust Estimation of Parameters in Mixed Unbalanced Models....Pages 79-86
Optimal Bias Bounds for Robust Estimation in Linear Models....Pages 87-95
Geometrical Relations Among Variance Component Estimators....Pages 97-102
Asymptotic Efficiencies of MINQUE and ANOVA Variance Component Estimates in the Nonnormal Random Model....Pages 103-111
On Asymptotic Normality of Admissible Invariant Quadratic Estimators of Variance Components....Pages 113-119
Admissible Nonnegative Invariant Quadratic Estimation in Linear Models with Two Variance Components....Pages 121-127
About the Multimodality of the Likelihood Function when Estimating the Variance Components in a One-Way Classification by Means of the Ml or REML Method....Pages 129-137
Prediction Domain in Nonlinear Models....Pages 139-146
The Geometry of Nonlinear Inference: Accounting of Prior and Boundaries....Pages 147-158
General Balance: Artificial Theory or Practical Relevance?....Pages 159-170
Optimality of Generally Balanced Experimental Block Designs....Pages 171-184
Optimality of the Orthogonal Block Design for Robust Estimation under Mixed Models....Pages 185-194
On Generalized Binary Proper Efficiency-Balanced Block Designs....Pages 195-202
Design of Experiments and Neighbour Methods....Pages 203-210
A New Look into Composite Designs....Pages 211-221
Using the Complex Linear Model to Search for an Optimal Juxtaposition of Regular Fractions....Pages 223-228
Some Directions in Comparison of Linear Experiments: A Review....Pages 229-237
Properties of Comparison Criteria of Normal Experiments....Pages 239-244
Characterizations of Oblique and Orthogonal Projectors....Pages 245-253
Asymptotic Properties of Least Squares Parameter Estimators in a Dynamic Errors-in-Variables Model....Pages 255-270
A Generic Look at Factor Analysis....Pages 271-283
On Q-Covariance and its Applications....Pages 285-291
Back Matter....Pages 293-300
....Pages 301-306