Bibliographic Information

The first Pannonian Symposium on Mathematical Statistics

[edited by] Pál Révész, Leopold Schmetterer, V.M. Zolotarev

(Lecture notes in statistics, v. 8)

Springer-Verlag, c1981

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Description and Table of Contents

Description

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, Yugoslavia 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.

Table of Contents

Improvement of extrapolation in multiple time series..- Algorithmical definition of finite binary random sequence..- Some remarks on the BMCo spaces..- On unbiased estimation of a common mean of two normal distributions..- The invariance principle for vector valued random variables with applications to functional random limit theorems..- Iterated logarithm laws for the sqare integral of a Wiener process..- Asymptotic properties of the nonparametric survival curve estimators under variable censoring..- A local central limit theorem on some groups..- On the statistics of Gibbsian processes..- Efficiency of estimates In nonregular cases..- Linear forms in random variables defined on a homogeneous Markov chain..- Parallel processing of random sequences with priority..- On the existence of minimal complete classes of estimators..- Eine Bemerkung zum Vergleich von zweiseitigen Testproblemen..- Duality of the maximal inequality for non-negative submartingales and of the convexity inequality of Burkholder..- On a Hoeffding-type problem.- Run-test discrimination between written Hungarian and random sequences..- Recursive estimation in the "almost smooth case"..- How small are the increments of a Wiener sheet?.- An approach to the formula H=2V via the theory of stationary point processes on a space of compact subsets of Rk..- Sequential estimates of a regression function by orthonormal series with applications in discrimination..- The asymptotic distribution of certain goodness of fit test statistics..- Martingales with directed index set..- Extensions of partial homomorphisms in probability theory..- A remark on the strong law of large numbers for random indexed sums..- A limit theorem for Markov renewal processes..- Remark to the derivation of the Cramer-Frechet-Rao inequality in the regular case..- Nonparametric density estimation in abstract and homogeneous spaces..- Non-ergodic stationary information sources..

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