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

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Madan L. Puri, P. Révész, Wolfgang Wertz, P. Bauer, F. Konecny
Springer Science & Business Media, Sep 30, 1987 - Mathematics - 326 pages
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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).
 

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Contents

Multivariate Extremal Models under NonClassical Situations
1
Large Deviations and Bahadur Efficiency of Some Rank Tests of Independence
11
On Some Observing and Replacement Policies
25
On Strong Consistency of Kernel Estimators under Dependence Assumptions
33
A Limit Theorem for Some Modified ChiSquare Statistics when the Number of Classes Increases
43
Problems and Results on Random Walks
59
On the Maximum Likelihood Method for Censored Bivariate Samples
67
A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families
75
On Exponential Autoregressive Time Series Models
147
Some Connections between Statistics and Control Theory
155
Maximum Waiting Time when the Size of the Alphabet Increases
169
On Bayes Inference in Contingency Tables
179
Sequential Estimation Functions in Stochastic Population Processes
189
Estimation Quadratic Polynomials with Applications to Square Root Normalizing Transformations
205
A kSample Problems with Censored Data
215
An Optimal kStopping Problem for the Poisson Process
231

A Class of NonParametrically Constructed Parameter Estimators for a Stationary Autoregressive Model
85
Selecting the Best Unknown Mean from Normal Populations Having a Common Unknown Coefficient of Variation
97
The Extreme Linear Predictions of the MatrixValued Stationary Stochastic Processes
113
Multivariate BSpline Analysis of Contingency Tables and Serial Correlation
125
Discrimination between Stationary Gaussian Time Series
139
A Statistical Approach to Relaxation in Glassy Materials
245
Subject Index
255
Contents of Volume A
261
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