Ebook: The First Pannonian Symposium on Mathematical Statistics

The first Pannonian Symposium on Mathematical Statistics was held at Bad Tatzmannsdorf (Burgenland/Austria) from September 16th to 21st, 1979. The aim of it was to furthe~ and intensify scientific cooperation in the Pannonian area, which, in a broad sense, can be understood to cover Hungary, the eastern part of Austria, Czechoslovakia, and parts of Poland, ¥ugoslavia and Romania. The location of centers of research in mathematical statistics and probability theory in this territory has been a good reason for the geographical limitation of this meeting. About 70 researchers attended this symposium, and 49 lectures were delivered; a considerable part of the presented papers is collected in this volume. Beside the lectures, vigorous informal discussions among the participants took place, so that many problems were raised and possible ways of solutions were attacked. We take the opportunity to thank Dr. U. Dieter (Graz), Dr. F. Konecny (Wien), Dr. W. Krieger (G8ttingen) and Dr. E. Neuwirth (Wien) for their valuable help in the refereeing work for this volume. The Pannonian Symposium could not have taken place without the support of several institutions: The Austrian Ministry for Research and Science, the State government of Burgenland, the Community Bad Tatzmannsdorf, the Kurbad Tatzmannsdorf AG, the Austrian Society for Information Science and Statistics, IBM Austria, Volksbank Oberwart, Erste Osterreichische Spar-Casse and Spielbanken AG Austria. The Austrian Academy of Sciences iv made possible the participation in the Symposium for several mathematicians. We express our gratitude to all these institutions for their generous help.

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Content:
Front Matter....Pages i-vi
Improvement of Extrapolation in Multiple Time Series....Pages 1-12
Algorithmical Definition of Finite Binary Random Sequence....Pages 13-17
On Unbiased Estimation of a Common Mean of Two Normal Distributions....Pages 18-24
The Invariance Principle for Vector Valued Random Variables with Applications to Functional Random Limit Theorems....Pages 25-29
Iterated Logarithm Laws for the Square Integral of a Wiener Process....Pages 30-41
Asymptotic properties of the nonparametric survival curve estimators under variable censoring....Pages 42-53
A Local Central Limit Theorem on Some Groups....Pages 54-72
On the Statistics of Gibbsian Processes....Pages 73-82
Efficiency of Estimates in Nonregular Cases....Pages 83-93
Linear Forms in Random Variables Defined on a Homogeneous Markov Chain....Pages 94-109
Parallel processing of random sequences with priority....Pages 110-121
On the Existence of Minimal Complete Classes of Estimators....Pages 122-139
“Eine Bemerkung Zum Vergleich Von Zweiseitigen Testproblemen”....Pages 140-155
Duality of the maximal inequality for non-negative submartingales and of the convexity inequality of Burkholder....Pages 156-164
On a Hoeffding-Type Problem....Pages 165-173
Run-Test Discrimination Between Written Hungarian and Random Sequences....Pages 174-181
Recursive Estimation in the “Almost Smooth” Case....Pages 182-194
How Small are the Increments of a Wiener Sheet?....Pages 195-206
Sequential Estimates of a Regression Function by Orthogonal Series with Applications in Discrimination....Pages 207-219
The Asymptotic Distribution of Certain Goodness of Fit Test Statistics....Pages 220-235
Martingales with Directed Index Set....Pages 236-244
Extensions of Partial Homomorphisms in Probability Theory....Pages 245-253
A Remark on the Strong Law of Large Numbers for Random Indexed Sums....Pages 254-261
A Limit Theorem for Markov Renewal Processes....Pages 262-265
Remark to the Derivation of the Cram?r.-Kr?chet-Rao Inequality in the Regular Case....Pages 266-276
Nonparametric Density Estimators in Abstract and Homogeneous Spaces....Pages 277-283
Non-Ergodic Stationary Information Sources....Pages 284-289
Back Matter....Pages 290-301
....Pages 302-305