Mathematical Statistics and Probability Theory Volume A Theoretical Aspects Proceedings of the 6th Pannonian Symposium on Mathematical Statistics, Bad Tatzmannsdorf, Austria, September 14–20, 1986

The past several years have seen the creation and extension of a very conclusive theory of statistics and probability. Many of the research workers who have been concerned with both probability and statistics felt the need for meetings that provide an opportunity for personal con­ tacts among scholars whose fields of specialization cover broad spectra in both statistics and probability: to discuss major open problems and new solutions, and to provide encouragement for further research through the lectures of carefully selected scholars, moreover to introduce to younger colleagues the latest research techniques and thus to stimulate their interest in research. To meet these goals, the series of Pannonian Symposia on Mathematical Statistics was organized, beginning in the year 1979: the first, second and fourth one in Bad Tatzmannsdorf, Burgenland, Austria, the third and fifth in Visegrad, Hungary. The Sixth Pannonian Symposium was held in Bad Tatzmannsdorf again, in the time between 14 and 20 September 1986, under the auspices of Dr. Heinz FISCHER, Federal Minister of Science and Research, Theodor KERY, President of the State Government of Burgenland, Dr. Franz SAUERZOPF, Vice-President of the State Govern­ ment of Burgenland and Dr. Josef SCHMIDL, President of the Austrian Sta­ tistical Central Office. The members of the Honorary Committee were Pal ERDOS, WXadisXaw ORLICZ, Pal REVESz, Leopold SCHMETTERER and Istvan VINCZE; those of the Organizing Committee were Wilfried GROSSMANN (Uni­ versity of Vienna), Franz KONECNY (University of Agriculture of Vienna) and, as the chairman, Wolfgang WERTZ (Technical University of Vienna).

On Central Limit Theorems and Uniform Integrability for Certain Stopped Linear Sum Processes.- A Characterization of Identifiability of Mixtures of Distributions.- On Nonuniform Estimates of the Rate of Convergence in the Central Limit Theorem for Functions of the Average of Independent Random Variables.- The Support of Extremal Probability Measures with Given Marginals.- Convergence for the Sample Extremes Via Convolutions.- Many Heads in a Short Block.- Weak Laws for the Increments of Wiener Processes, Brownian Bridges, Empirical Processes and Partial Sums of I.I.D.R.V.’s.- A Strong Law of Large Numbers in Banach Spaces of Type ?.- On the Last Zero of a Wiener Process.- Almost Sure Asymptotic Behavior of the Record and Record Time Sequences of a Stationary Gaussian Process.- Weak Convergence of Weighted Multivariate Empirical Processes under Mixing Conditions.- Generalized Translation Structures and Invariant Feller Semigroups.- Mixing Properties for f-Expansions: The Bounded p-Variation Case.- Uniform Integrability in Anscombe’s Theorem for Martingales.- On a Functional Equation Occurring in the Limit Theorem for Maxima with Random Indices.- Comparison of Shift Experiments on a Banach Space.- On the ?-Fields which are Larger than a Sufficient One.- On the Properties of Marginal Densities and Conditional Moments of Elliptically Contoured Measures.- Consistency of Kernel Density Estimators and Laws of Large Numbers in C0(R).- Testing Hypotheses on Independent, not Identically Distributed Models.- A Limit Theorem for Double Arrays.- The Description of the Class I0 in the Multiplicative Structure of Distribution Functions.- Conditional Semiamarts and Conditional Amarts.- of Volume B.