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Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes: held at Prague, from July 7 to 11, 1986 PDF

439 Pages·1987·16.393 MB·English
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Preview Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes: held at Prague, from July 7 to 11, 1986

CZECHOSWVA K ACADEMY OF SCIENCES CZECHOSWVA K ACADEMY OF SCIENCES Scientific Editor: Academician Stanislav Kubik Editorial Board: Jin Andel, Jaromir Antoch, Jaroslav DoleZal, Miloslav Driml,. Vaclav Dupae,Jan Hurt, Marie Huskova, MartinJaniura, Stanislav Jilovec, RadimJirousek, V1asta Kaiikova, Pavel Kolar, Pavel Kovanic, Ivan Kramosil, Otakar KHZ. Petr Lachout, Vera Lanska, Petr Mandl, Milan Mares, Frantisek Matus, Jin Michalek, Jin Nedoma, Jana Novovicova, Antonin Otahal, Albert Perez, Josef Puiman, Otakar Sefl, Jin Sknvinek, Karel Sladky, Josef Stepin, Milan Studeny, Pavel Trska, Milan Ullrich, Igor Vajda, Jan Amos Visek, Petr VoIf, Miloslav V osvrda, Petra Zeminkova Executive Editor. Jan Amos Visek TRANSACTIONS of the TENTH PRAGUE CONFERENCE on INFORMATION THEORY, STATISTICAL DECISION FUNCTIONS, RANDOM PROCESSES held at Prague, from July 7 to 11, 1986 VOLUME B D. REIDEL PUBLISHING COMPANY ..... A MEMBER OFTHE KLUWER " ACADEMIC PUBLISHERS GROUP DORDRECHT/BOSTON/LANCASTER/TOKYO Library of Congress Cataloging-In-Publication Data Prague Conference on Infonnation Theory, Statistical Decision Functions, Random Processes (10th: 1986 : Prague, Czechoslovakia) Transactions of the Tenth Prague Conference on Infonnation Theory, Statistical Decision Functions, Random Processes, held at Prague, from July 7 to 11, 1986. Sponsored by Czechoslovak Academy of Sciences. 1. Probabilities--Congresses. 2. Statistical decision--Congresses. 3. Infonnation theory- Congresses. I. Ceskoslovenska. akademie ved. II. Title. QA273.A1P73 1986 519.2 87-16658 TRANSACTIONS include contributions of authors reprinted directly in a photographic way. For this reason the authors are fully responsible for the correctneSs of their text. Published by D. Reidel Publishing Company P.O. Box 17, 3300 AA Dordrecht, Holland, in co-edition with Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, CzethQslovakia. Sold and distributed in the U.S.A. and Canada by K1uwer Academic Publishers, 101 Philip Drive, Norwell, MA 02061, U.S.A. Sold and distributed in Albania, Bulgaria, China, Czechoslovakia, Cuba, Gennan Democratic Republic, Hungary, Mongolia, NorthernOKorea, Poland, Rumania, U.S.S.R., Vietnam, and Yugoslavia by Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, Czechoslovakia. Sold and distributed in all remaining countries by K1uwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland © Academia, Publishing House of the Czechoslovak Academy of Sciences, Prague, 1988 All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any fonn or by any means, electronic or mechanical, including photocopying, recording or by any infonnation storage and retrieval system, without written pennission from the copyright owner. ISBN 978-94-010-9915-8 ISBN 978-94-010-9913-4 (eBook) DOI 10.1007/978-94-010-9913-4 CONTENTS COMMUNICATION (continued) Jirou§ek R., Perez A.: A Partial Solution of the Marginal Problem 11 Kankova V.: Empirical Estimates in Stochastic Program- ming 21 Kannappan Pl., Rathie P.N.: An Axiomatic Characterization of J-Divergence 29 Khachatrian G.G., Khachatrian L.G., Markarian G.S.: The Method of Word Synchronization in Alphabetic Codes for the Digital Transmission Systems ••••.••••••••.••. ~..... 37 Kligiene N.: On the ksymptotic Approach to Time Series Recognition 43 Koubkova A.: Random Coefficient AR(l) Process 51 Kozek A.: Exact Slopes for Kolmogorov-Levy Type Statistics 59 Kriz 0.: Knowledge Preprocessing for Intensional-Type Expert Systems 67 Kucia A., Nowak A.: Some Results and Counterexamples 75 Kuenle R.U.: On the Optimality of (a,S)-Strategies in ~n Inventory Model with Uncompletely Known Demand Distribu- tion 83 Kurnganbayev M., Voinov V.: On a Derivation of Probability Density Functions. The PDF of Greenwood~s Statistic.... ... 91 Lanska V.: On the Diffusion Approximation of the Generali- zed SteinJs Neuronal Model With Synaptic Reversal........ 99 Laue G.: Bounds for the r-th Absolute Homent of a Differen ce of two Random Variabl'2s 107 Legut J.: On Cooperative Garnes Arising From a Problem of Fair Division •...••••••••.••..•..••••.•...•..•.•••••.••.• 117 Liese F.: A Cramer-Rao Type Inequality for a Convex Loss Function 121 Ligeza A., Wiecek M.: Decision Haking in Identification of Random Fields............................................ 129 Lipfert W.: Zur Dynamischen Optimierunq in Zeitdiskreten Stochastischen Entscheidungsmodellen mit Erweitert - Rekursiven und Vektor-Wertigen Gewinnfunktionalen 137 Luczak A.: On Some Subclasses of Operator Semi-Stable and Operator Levy~s Measures on RN •.••..•..•.••••..•.•..• 145 Luschgy H.: Asymptotic Almost Equidistribution on a Banach Space •••••.••.••.•••.•..•••.••..••••.•••.•.••...••. 155 Haister P.: Random Branching Process with Deterministic Motion and Unlocal Branching Law •.•...•.......••.•...... 165 Marczynski P.: Information Assembly Value in Decision-Making 173 Mares M.: Decision Haking Under Comparative Evaluation of Results •.•••....•.•.••••.••••.•••••.•••.•.••.•..•••••.••.• 181 Mesiar R.: Sur la Convergence Ponctuelle De Tnf/a , Dans L 187 n p Mrugala R.: Information Geometry of Nonideal Gases ••••••.•. 193 HaCKpO. H.P.: 0 c~eneR.X Re~eTepK.H •••a •• epo.~.oC~.KK 201 Nguyen Quang A.: A Construction of Protocol Sequences for Collision Channels without Feedback •••.•••••••.••••.•.•••• 207 Nussbaum H., Zwanzig S.: A t1inimax Result in a Model with Infinitely Hany Nuisance Parameters •.....•.••••.•••••.••.. 215 Otahal A.: Spectrum Decomposition for Stationary Weakly Isotropic Random Fields in the Plane 223 Ouahabi A.: Multi-Pulse L.P.C. Analysis of Speech and Seismic Signals -229 Pilz J.: Hinimax Linear Approgression Estimation for Finite Dimensional Classes of Regression Functions 237 P~ucinska A.: Some Characterizations of Normal Law by the Independence of Linear Functions in a Triangular System.................................................... 247 Rosenkranz G.: A Limit Theorem for Measure Valueq Diffusion Processes ••••••••••••••...••.••..••.••••••.••••• 253 Rudnicki J.: A Comparison of Life Times by Rank Tests 259 Sambotin C.~ Ciocoiu L.: An Algorithm for an Electronic ......................................... ....... . Network ,. 269 Sasagawa T.: Optimal Control and P-TH Mean Stabilizabili- ty of Stochastic Linear Systems •••••••••••••••••••••••••• 277 Schmidt K.D.: A Sequential Lebesgue-Radon-Nikodyrn Theorem and the Lebesgue Decomposition of Hartingales 285 Sieders A.: A Note on Potential Estimation for the Sta- tionary Gibbs Model on the Lattice zd ••••••••••.••••••••• 293 ~indelar J.: Random Generator of Formulas of Propositional Calculus 301 Sladky K.: Sensitive Growth Analysis of Controlled Multi- plicative Systems •••••••••••••••••••••••••••••••••••••••• 309 Sosnowska H.: Rights and Similary of Individuals •••••••••• 319 ~pitalsky J., Volvrda M., Senkus A.: Stadia a Statistical Dialogue System.......................................... 325 Staiger L.: On the Computation of Hausdorff Dimension and its Relation to Channel Capacity 331 Steinebach J.: Limit Theorems for Lag Processes •••••••.••• 337 Straka F., ~tepan J.: Random Sets In [0,1] 349 Szajowski K.: Optimal Choice Problem with Uncertainty of Selection and Backward Solicitation ••••••••••••••••••• 357 Telegdi L.: Investigation of the Independence of Binary Variables •••••••••••••••.•••••••••••••••••••••••••••••••• 367 Toth J.: Contribution to the General Treatment of Random Processes Used in Chemical Reaction Kinetics ••••••••••..• 373 Vajda I.: f-Projection of a-Finite Measures and its Information-Theoretic and Statistical Applications ••••.•• 381 Veres S.: On the Information of Experiments When Observing Time Series 389 Vilek J.A.: On Reasons for Introducing Means for Approxi- mately Optimal Choice of Robust Procedure •••••••••.•••••• 397 Volf P.: Comparison of Several Homogeneity Tests for Samples with Censored Data • • • • • • • • • • • • • • • • • • • • • • • • • . • • • • 407 Vosvrda H.:Adaptive Robust D-Estimator ••••••••••••••••• 415 Wojcik B.: Probabilistic Model of a Random Manufactu- ring Process •..•••.••••••••••••••••••••••••••••••••••• 423 Wolinska - Nelcz A.: Note on a Solution of the Degue·s Problem 433 COHMUNICATION (continued) 10

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