Probability and Statistical Inference: "Proceedings of the 2nd Pannonian Symposium on Mathematical Statistics, Bad Tatzmannsdorf, Austria, June 14-20, 1981"

The Interaction Of Various Ideas From Different Researchers Provides A Main Impetus To Mathematical Prosress. An Important Way To Make Communication Possible Is Through International Conferences On More Or Less Spezialized Topics~ The Existence Of Several Centers For Research In Probabil Ity And Statistics In The Eastern Part Of Central Europe - Somewhat Vaguely Described As The Pannonian Area - Led To The Idea Of Organizing Pannonian Symposia On Mathematical Statistics (ps~1s). The Second Such Symposium Was Held At Bad Tatzmannsdorf, Burgenland (austria), From 14 To 20 June 1981. About 100 Researchers From 13 Countries Participated In That Event And About 70 Papers Were Delivered. Most Of The Papers Dealt With One Of The Following Topics: Nonparametric Estimation Theory, Asymptotic Theory Of Estimation, Invariance Principles, Limit Theorems And Aoplications. Full Versions Of Selected Papers, All Presenting New Results Are Included In This Volume. The Editors Take This Opportunity To Thank The Following Institutions For Their Assistance In Making The Conference Possible: The Provincial Government Of Burgenland, The Austrian Ministry For Research And Science, The Burgenland Chamber Of Commerce, The Control Data Corporation, The Austrian Society For Statistics And Informatics, The Landes Hypothekenbank Burgenland, The Volksbank Oberwart, And The Community And Kurbad Ag Of Bad Tatzmannsdorf. We Are Also Greatly Indebted To All Those Persons Who Helped In Editing This Volume And In Particular To The Vii W. Grossmann Et Al. Reds.), Probability And Statistical Inference, Vii-viii. Front Matter....Pages i-viii Discrete Approximation of Markovprocesses by Markovchains....Pages 1-11 An Autoregressive Representation of ARMA Processes....Pages 13-21 Characterization of a Type Multivariate Exponential Distributions....Pages 23-27 Multivariate Time Series Analysis and Forecast....Pages 29-34 Testing Approximate Validity of Hardy-Weinberg Law in Population Genetics....Pages 35-46 On an Optimization Problem Related to Statistical Investigations....Pages 47-51 A Construction of Extremal Processes....Pages 53-57 Monte Carlo Investigation of Robust Methods....Pages 59-72 Monte Carlo Methods for Solving Hyperbolic Equations....Pages 73-85 The Compounding of the Binomial and Generalized Beta Distributions....Pages 87-99 Empirical Bayes Estimation of Probability Density Function with Dirichlet Process Prior....Pages 101-114 On the Asymptotic Properties of Minimum Contrast Estimates....Pages 115-127 Contiguity in Some Nonregular Cases and its Applications....Pages 129-142 The Notion of Asymptotically Least Favorable Configuration in Selection and Ranking Problems....Pages 143-155 One Method of Stable Estimation of a Location Parameter....Pages 157-170 Stochastic Integral Representation of Functionals from a Sequence of Martingales....Pages 171-182 Comparison of Multisample Tests of Normality....Pages 183-190 Almost Everywhere Convergence of Recursive Kernel Regression Function Estimates....Pages 191-209 Estimation of a Multivariate Density by Orthogonal Series....Pages 211-221 Longest Runs in Markov Chains....Pages 223-230 Approximation and Smoothing of Surfaces In (P+1)-Dimensional Spaces....Pages 231-238 The Comparison of Two-Unit Standby Redundant System with Two and Three States of Units....Pages 239-250 A Probability Inequality of General Nature for the Maximum of Partial Sums....Pages 251-255 Parametric Deviations in Linear Models....Pages 257-264 Statistical Tests for Tausworthe Pseudo-Random Numbers....Pages 265-274 Polynomials of Parameters in the Regression Model — Estimation and Design....Pages 275-285 The Limiting Log-Likelihood Process for Discontinuous Multiparameter Density Families....Pages 287-295 Two Kinds of Pooling Information in Cross-Sectional Regression Model....Pages 297-306 Rate of Convergence for Simple Estimate in the Rejective Sampling....Pages 307-317 Minimal Metrics in the Random Variables Space....Pages 319-327 Robust Alternatives to the F-Test for the Linear Model....Pages 329-342 Orthogonal Series Estimates of a Regression Function with Applications in System Identification....Pages 343-347 Generating Student’s T Variates by a Modified Rejection Method....Pages 349-360 Block Transmissibility and Quantization....Pages 361-371 Invariantly Optimal Curve Estimators with Respect to Integrated Mean Error Risk....Pages 373-384 Back Matter....Pages 385-389