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The Fourth Pannonian Symposium on Mathematical Statistics was held in Bad Tatzmannsdorf, Austria, 4-10 September, 1983. The first two Symposia were held there in 1979 and 1981; whereas the Third Symposium was staged in Visegrad, Hungary in 1982. The proceedings volumes of these conferences, published by Springer, D. Reidel, and D. Reidel & Akademiai Kiad6, respec tively give information about the objectives of the Pannonian Symposia and the topics covered. About 130 participants from 17 countries took part in this Fourth Symposium, and 92 lectures were presented. This volume contains 21 reviewed contributions which cover various aspects of the application of mathematical statistics. A second group of papers dealing with problems of probability theory and decision theory is published in a separate volume entitled "Probability and Statistidal Decision Theory". Roughly speaking, the papers can be grouped into three main categories. The first group is the application of probability theory. A special type of application is shown in the invited paper of P. Erdos, namely probabilistic methods in number theory. Further models of applied probability covered by the papers are game theory, urn models, best choice models and random graphs. The second group could be best characterized by the term mathematical statistics for models of real data. Such models are linear models, regression, discrimination, time series, analysis of censored data, goodness of fit approxima tion of processes. The papers show the increasing importance of VII new theoretical results (i. e.
List of contents
INVITED PAPER.- Some Applications of Probability Methods to Number Theory.- CONTRIBUTED PAPERS.- On an Informationtheoretical Approach for a Certain Class of Games.- Realistic and Abstract Roulette, a Comparison.- A Comparison of Methods for Interpolation in Time Series.- A Limit Theorem for Ehrenfest Urn Model.- A Nonparametric Small Sample Theory of Estimation of Regression Functions.- The Baboons Come Down from the Trees Quite Normally.- Robust and Bounded Influence Regression: Realization and Application.- Monte Carlo Method for Nonlinear Filtering.- Local Properties of Function Fitting Estimates with Application to System Identification.- Bayesian Estimation of Means in q-Component Hierarchical Design with Random Effect Model.- The Moments of the Teststatistics Dn,n and Dn,n+ of the Kolmogorov-Smirnov Test and their Asymptotic Behavior.- Estimation Associated with Linear and Quadratic Discriminant Functions.- Approximation of Stochastic Processes by Piecewise Polynomials.- The Secretary Problem with Hesitating Candidates.- Probability Distributions and Asymptotics for Some Characteristics of Random Mappings.- Recent Advances in Statistical Applications of Commutation Matrices.- Quasi-Monte Carlo Methods for Global Optimization.- Eingeschränkte Monte Carlo-Verfahren zur Numerischen Integration.- Multivariate Estimation with High Breakdown Point.- Robust Estimation of Autoregressive Moving Average Models.- Correction.- Correction to "Uniform Theory of Comparison of Linear Models" (Proc. 3rd Pann. Symp. pp. 323-334).
