New Trends in Probability and Statistics. / Vol. 1, : Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / / ed. by T. Shervashidze, V. V. Sazonov.
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©1991 |
Year of Publication: | 2020 |
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Language: | English |
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New Trends in Probability and Statistics. Vol. 1, Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / ed. by T. Shervashidze, V. V. Sazonov. Reprint 2020 Berlin ; Boston : De Gruyter, [2020] ©1991 1 online resource (IX, 702 p.) : 1 frontisp., num. figs text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda New Trends in Probability and Statistics ; Vol. 1 Frontmatter -- CONTENTS -- Preface -- Bakuriani Colloquia on Probability Theory and Mathematical Statistics -- I. LIMIT THEOREMS: FINITE - DIMENSIONAL CASE -- On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors -- The Influence of Extremes Summands on the Law of Iterated Logarithm -- Generalized Marcinkiewicz's Theorem and Asymptotic Expansions in the Central Limit Theorem -- On Integrability of sup [Snk /nk] -- Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables -- Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors -- II. LIMIT THEOREMS IN GENERAL SPACES -- On the Distribution of the Sup-Norm for a Stable Motion and the Rate of Convergence -- Semi-Invariant Conditions of Weak Convergence of Random Processes in the Space of Continuous Functions -- Almost Sure Permutational Convergence of Vector Random Series and Kolmogorov's Problem -- Limit Theorems for Stable Laws in Banach Spaces -- An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables -- An Improved Estimate of the Accuracy of Gaussian Approximation in Hilbert Space -- On Laxge Deviations for L-Estimates -- III. LIMIT THEOREMS FOR STOCHASTIC PROCESSES -- Rates of Convergence in the Invariance Principle for Empirical Processes -- Ergodic Theorem for Semimartingale-Helix -- Ergodic Theorems for Discrete Time Random Processes -- On Functional Principle of Large Deviations -- IV. PROBABILITIES IN GENERAL SPACES -- Some Properties of Gaussian Measures and Potentials in Martingale Spaces with Mixed Norm -- Unexpected Limit Behaviour of the Gaussian Tail Probabilities -- Topologies on the Space of a-Additive Cylindrical Probabilities -- Two-Sided Exponential Inequalities for the Distribution of the Norm of Banach Space Valued Random Variables -- Nonuniform Estimates of the Density of the Squared Norm of a Gaussian Vector in Hilbert Space -- On Sequential Conditions for a Cylindrical Measure to be Countably Additive -- A Family of Measures Admitting Consistent Estimates -- V. STOCHASTIC ANALYSIS AND CONTROL -- Asymptotic Behaviour of Solutions of Stochastic Equations -- On the Decomposition of a Maximum of Semimartingales and Ito's Generalized Formula -- Optimal Transmission of Gaussian Signals Involving Cost for Transmission and Feedback -- Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space -- Controlled Random Fields on Graphs and Stochastic Models of Economic Equilibrium -- Asymptotic Expansions for Singulary Perturbed Stochastic Differential Equations -- On Uniformly Optimal Coding of Gaussian Messages in White Gaussian Channels with Feedback -- On the Structure of a Random Graph with Nonuniform Distribution -- Identities for Ladder Functionals of Homogeneous Random Processes and Walks with Independent Increments -- On Convergence of Solutions of Stochastic Equations -- Stochastic Integrals and Stochastic Differential Equations on the Plane Involving Strong Semimartingales -- Itó-Ventsel' Formula For Anticipative Processes -- Connectivity Property and Optimality Almost Surely and in Probability -- Absolute Continuity of Smooth Measures Generated by Nonlinear Equations -- VI. MATHEMATICAL STATISTICS -- A New Method of Asymptotic Analysis of Simple Linear Rank Statistics -- On Stable M-Estimators in the Partial Likelihood Scheme -- Asymptotic Estimation of Integrals of Certain Random Fields -- On Minimax Bound for Parameter Estimation in Ball (Bias Accounting) -- Limit Theorems for Some Random Processes Based on Frequencies -- From Asymptotic Efficiency in Minimax Sense to Bahadur Efficiency -- On Estimating Parameters of a Distribution Concentrated in a Circle -- On the Approximation of the Likelihood Function by a Vector Analogue of the Whittle Statistics -- VII. TOWARDS NATURAL SCIENCES -- On Condensable Point Processes -- The Ground State of a Random Stationary Medium in the Mean Field Approximation -- Scaling Behavior of Random Walks with Topological Constraints -- Convergence of the Stochastic Quantization Method for Lattice R-Gauge Theories -- List of Contributors -- Organizing Committee and Acknowledgement restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) MATHEMATICS / Algebra / General. bisacsh Ambartzumian, R. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Astrauskas, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bendikov, A. D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bloznelis, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Buldygin, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chibisov, D. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chitashvili, R. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chobanyan, S. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Chuprunov, A. N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dorogovtsev, A. Ya., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ebralidze, Sh. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Evstigneev, I. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gafurov, M. U., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Giorgobiani, G. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Glonti, O. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gudynas, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hamdamov, I. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Jamburia, L. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kabanov, Yu. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Katyshev, P. K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Khokhlov, V. J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Klebanov, L. B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Klesov, O. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kolchin, V. F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kolchinskii, V. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Koval, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lazrieva, N. L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lifshits, M. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liptser, R. Sh., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lugavov, V. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Makhno, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mania, M. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Melamed, J. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mishura, Yu. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mnatsakanov, R. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Molchanov, S. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mushtari, D. H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nagaev, A. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nagaev, S. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nazin, A. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nechaev, S. K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ostrovskii, E. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pergamenshchikov, S. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Puhalskii, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Purtukhia, O., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Radavlcius, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rogozin, B. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rotar, V. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sauiis, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sazonov, V. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sazonov, V. V., editor. edt http://id.loc.gov/vocabulary/relators/edt Shemyakin, A. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shervashidze, T., editor. edt http://id.loc.gov/vocabulary/relators/edt Sidoravicius, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sinai, Ya. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sokhadze, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Solntsev, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stoyanov, J. M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Toronjadze, T. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tsertsvadze, K. A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ulyanov, V. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vladimirskii, Yu. N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zerakidze, Z. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zitikis, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA print 9783112302484 https://doi.org/10.1515/9783112313626 https://www.degruyter.com/isbn/9783112313626 Cover https://www.degruyter.com/document/cover/isbn/9783112313626/original |
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English |
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author2 |
Ambartzumian, R. V., Ambartzumian, R. V., Astrauskas, A., Astrauskas, A., Bendikov, A. D., Bendikov, A. D., Bloznelis, M., Bloznelis, M., Buldygin, V., Buldygin, V., Chibisov, D. M., Chibisov, D. M., Chitashvili, R. J., Chitashvili, R. J., Chobanyan, S. A., Chobanyan, S. A., Chuprunov, A. N., Chuprunov, A. N., Dorogovtsev, A. Ya., Dorogovtsev, A. Ya., Ebralidze, Sh. S., Ebralidze, Sh. S., Evstigneev, I. V., Evstigneev, I. V., Gafurov, M. U., Gafurov, M. U., Giorgobiani, G. J., Giorgobiani, G. J., Glonti, O. A., Glonti, O. A., Gudynas, P., Gudynas, P., Hamdamov, I. M., Hamdamov, I. M., Jamburia, L. G., Jamburia, L. G., Kabanov, Yu. M., Kabanov, Yu. M., Katyshev, P. K., Katyshev, P. K., Khokhlov, V. J., Khokhlov, V. J., Klebanov, L. B., Klebanov, L. B., Klesov, O. I., Klesov, O. I., Kolchin, V. F., Kolchin, V. F., Kolchinskii, V. I., Kolchinskii, V. I., Koval, V., Koval, V., Lazrieva, N. L., Lazrieva, N. L., Lifshits, M. A., Lifshits, M. A., Liptser, R. Sh., Liptser, R. Sh., Lugavov, V. S., Lugavov, V. S., Makhno, S., Makhno, S., Mania, M. G., Mania, M. G., Melamed, J. A., Melamed, J. A., Mishura, Yu. S., Mishura, Yu. S., Mnatsakanov, R. M., Mnatsakanov, R. M., Molchanov, S. A., Molchanov, S. A., Mushtari, D. H., Mushtari, D. H., Nagaev, A. V., Nagaev, A. V., Nagaev, S. V., Nagaev, S. V., Nazin, A. V., Nazin, A. V., Nechaev, S. K., Nechaev, S. K., Ostrovskii, E. I., Ostrovskii, E. I., Pergamenshchikov, S. M., Pergamenshchikov, S. M., Puhalskii, A., Puhalskii, A., Purtukhia, O., Purtukhia, O., Radavlcius, M., Radavlcius, M., Rogozin, B. A., Rogozin, B. A., Rotar, V. I., Rotar, V. I., Sauiis, L., Sauiis, L., Sazonov, V. V., Sazonov, V. V., Sazonov, V. V., Sazonov, V. V., Shemyakin, A. E., Shemyakin, A. E., Shervashidze, T., Shervashidze, T., Sidoravicius, V., Sidoravicius, V., Sinai, Ya. G., Sinai, Ya. G., Sokhadze, G., Sokhadze, G., Solntsev, S., Solntsev, S., Stoyanov, J. M., Stoyanov, J. M., Toronjadze, T. A., Toronjadze, T. A., Tsertsvadze, K. A., Tsertsvadze, K. A., Ulyanov, V. V., Ulyanov, V. V., Vladimirskii, Yu. N., Vladimirskii, Yu. N., Zerakidze, Z. S., Zerakidze, Z. S., Zitikis, R., Zitikis, R., |
author_facet |
Ambartzumian, R. V., Ambartzumian, R. V., Astrauskas, A., Astrauskas, A., Bendikov, A. D., Bendikov, A. D., Bloznelis, M., Bloznelis, M., Buldygin, V., Buldygin, V., Chibisov, D. M., Chibisov, D. M., Chitashvili, R. J., Chitashvili, R. J., Chobanyan, S. A., Chobanyan, S. A., Chuprunov, A. N., Chuprunov, A. N., Dorogovtsev, A. Ya., Dorogovtsev, A. Ya., Ebralidze, Sh. S., Ebralidze, Sh. S., Evstigneev, I. V., Evstigneev, I. V., Gafurov, M. U., Gafurov, M. U., Giorgobiani, G. J., Giorgobiani, G. J., Glonti, O. A., Glonti, O. A., Gudynas, P., Gudynas, P., Hamdamov, I. M., Hamdamov, I. M., Jamburia, L. G., Jamburia, L. G., Kabanov, Yu. M., Kabanov, Yu. M., Katyshev, P. K., Katyshev, P. K., Khokhlov, V. J., Khokhlov, V. J., Klebanov, L. B., Klebanov, L. B., Klesov, O. I., Klesov, O. I., Kolchin, V. F., Kolchin, V. F., Kolchinskii, V. I., Kolchinskii, V. I., Koval, V., Koval, V., Lazrieva, N. L., Lazrieva, N. L., Lifshits, M. A., Lifshits, M. A., Liptser, R. Sh., Liptser, R. Sh., Lugavov, V. S., Lugavov, V. S., Makhno, S., Makhno, S., Mania, M. G., Mania, M. G., Melamed, J. A., Melamed, J. A., Mishura, Yu. S., Mishura, Yu. S., Mnatsakanov, R. M., Mnatsakanov, R. M., Molchanov, S. A., Molchanov, S. A., Mushtari, D. H., Mushtari, D. H., Nagaev, A. V., Nagaev, A. V., Nagaev, S. V., Nagaev, S. V., Nazin, A. V., Nazin, A. V., Nechaev, S. K., Nechaev, S. K., Ostrovskii, E. I., Ostrovskii, E. I., Pergamenshchikov, S. M., Pergamenshchikov, S. M., Puhalskii, A., Puhalskii, A., Purtukhia, O., Purtukhia, O., Radavlcius, M., Radavlcius, M., Rogozin, B. A., Rogozin, B. A., Rotar, V. I., Rotar, V. I., Sauiis, L., Sauiis, L., Sazonov, V. V., Sazonov, V. V., Sazonov, V. V., Sazonov, V. V., Shemyakin, A. E., Shemyakin, A. E., Shervashidze, T., Shervashidze, T., Sidoravicius, V., Sidoravicius, V., Sinai, Ya. G., Sinai, Ya. G., Sokhadze, G., Sokhadze, G., Solntsev, S., Solntsev, S., Stoyanov, J. M., Stoyanov, J. M., Toronjadze, T. A., Toronjadze, T. A., Tsertsvadze, K. A., Tsertsvadze, K. A., Ulyanov, V. V., Ulyanov, V. V., Vladimirskii, Yu. N., Vladimirskii, Yu. N., Zerakidze, Z. S., Zerakidze, Z. S., Zitikis, R., Zitikis, R., |
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author_sort |
Ambartzumian, R. V., |
title |
New Trends in Probability and Statistics. |
spellingShingle |
New Trends in Probability and Statistics. New Trends in Probability and Statistics ; Frontmatter -- CONTENTS -- Preface -- Bakuriani Colloquia on Probability Theory and Mathematical Statistics -- I. LIMIT THEOREMS: FINITE - DIMENSIONAL CASE -- On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors -- The Influence of Extremes Summands on the Law of Iterated Logarithm -- Generalized Marcinkiewicz's Theorem and Asymptotic Expansions in the Central Limit Theorem -- On Integrability of sup [Snk /nk] -- Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables -- Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors -- II. LIMIT THEOREMS IN GENERAL SPACES -- On the Distribution of the Sup-Norm for a Stable Motion and the Rate of Convergence -- Semi-Invariant Conditions of Weak Convergence of Random Processes in the Space of Continuous Functions -- Almost Sure Permutational Convergence of Vector Random Series and Kolmogorov's Problem -- Limit Theorems for Stable Laws in Banach Spaces -- An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables -- An Improved Estimate of the Accuracy of Gaussian Approximation in Hilbert Space -- On Laxge Deviations for L-Estimates -- III. LIMIT THEOREMS FOR STOCHASTIC PROCESSES -- Rates of Convergence in the Invariance Principle for Empirical Processes -- Ergodic Theorem for Semimartingale-Helix -- Ergodic Theorems for Discrete Time Random Processes -- On Functional Principle of Large Deviations -- IV. PROBABILITIES IN GENERAL SPACES -- Some Properties of Gaussian Measures and Potentials in Martingale Spaces with Mixed Norm -- Unexpected Limit Behaviour of the Gaussian Tail Probabilities -- Topologies on the Space of a-Additive Cylindrical Probabilities -- Two-Sided Exponential Inequalities for the Distribution of the Norm of Banach Space Valued Random Variables -- Nonuniform Estimates of the Density of the Squared Norm of a Gaussian Vector in Hilbert Space -- On Sequential Conditions for a Cylindrical Measure to be Countably Additive -- A Family of Measures Admitting Consistent Estimates -- V. STOCHASTIC ANALYSIS AND CONTROL -- Asymptotic Behaviour of Solutions of Stochastic Equations -- On the Decomposition of a Maximum of Semimartingales and Ito's Generalized Formula -- Optimal Transmission of Gaussian Signals Involving Cost for Transmission and Feedback -- Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space -- Controlled Random Fields on Graphs and Stochastic Models of Economic Equilibrium -- Asymptotic Expansions for Singulary Perturbed Stochastic Differential Equations -- On Uniformly Optimal Coding of Gaussian Messages in White Gaussian Channels with Feedback -- On the Structure of a Random Graph with Nonuniform Distribution -- Identities for Ladder Functionals of Homogeneous Random Processes and Walks with Independent Increments -- On Convergence of Solutions of Stochastic Equations -- Stochastic Integrals and Stochastic Differential Equations on the Plane Involving Strong Semimartingales -- Itó-Ventsel' Formula For Anticipative Processes -- Connectivity Property and Optimality Almost Surely and in Probability -- Absolute Continuity of Smooth Measures Generated by Nonlinear Equations -- VI. MATHEMATICAL STATISTICS -- A New Method of Asymptotic Analysis of Simple Linear Rank Statistics -- On Stable M-Estimators in the Partial Likelihood Scheme -- Asymptotic Estimation of Integrals of Certain Random Fields -- On Minimax Bound for Parameter Estimation in Ball (Bias Accounting) -- Limit Theorems for Some Random Processes Based on Frequencies -- From Asymptotic Efficiency in Minimax Sense to Bahadur Efficiency -- On Estimating Parameters of a Distribution Concentrated in a Circle -- On the Approximation of the Likelihood Function by a Vector Analogue of the Whittle Statistics -- VII. TOWARDS NATURAL SCIENCES -- On Condensable Point Processes -- The Ground State of a Random Stationary Medium in the Mean Field Approximation -- Scaling Behavior of Random Walks with Topological Constraints -- Convergence of the Stochastic Quantization Method for Lattice R-Gauge Theories -- List of Contributors -- Organizing Committee and Acknowledgement |
title_full |
New Trends in Probability and Statistics. Vol. 1, Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / ed. by T. Shervashidze, V. V. Sazonov. |
title_fullStr |
New Trends in Probability and Statistics. Vol. 1, Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / ed. by T. Shervashidze, V. V. Sazonov. |
title_full_unstemmed |
New Trends in Probability and Statistics. Vol. 1, Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / ed. by T. Shervashidze, V. V. Sazonov. |
title_auth |
New Trends in Probability and Statistics. |
title_alt |
Frontmatter -- CONTENTS -- Preface -- Bakuriani Colloquia on Probability Theory and Mathematical Statistics -- I. LIMIT THEOREMS: FINITE - DIMENSIONAL CASE -- On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors -- The Influence of Extremes Summands on the Law of Iterated Logarithm -- Generalized Marcinkiewicz's Theorem and Asymptotic Expansions in the Central Limit Theorem -- On Integrability of sup [Snk /nk] -- Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables -- Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors -- II. LIMIT THEOREMS IN GENERAL SPACES -- On the Distribution of the Sup-Norm for a Stable Motion and the Rate of Convergence -- Semi-Invariant Conditions of Weak Convergence of Random Processes in the Space of Continuous Functions -- Almost Sure Permutational Convergence of Vector Random Series and Kolmogorov's Problem -- Limit Theorems for Stable Laws in Banach Spaces -- An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables -- An Improved Estimate of the Accuracy of Gaussian Approximation in Hilbert Space -- On Laxge Deviations for L-Estimates -- III. LIMIT THEOREMS FOR STOCHASTIC PROCESSES -- Rates of Convergence in the Invariance Principle for Empirical Processes -- Ergodic Theorem for Semimartingale-Helix -- Ergodic Theorems for Discrete Time Random Processes -- On Functional Principle of Large Deviations -- IV. PROBABILITIES IN GENERAL SPACES -- Some Properties of Gaussian Measures and Potentials in Martingale Spaces with Mixed Norm -- Unexpected Limit Behaviour of the Gaussian Tail Probabilities -- Topologies on the Space of a-Additive Cylindrical Probabilities -- Two-Sided Exponential Inequalities for the Distribution of the Norm of Banach Space Valued Random Variables -- Nonuniform Estimates of the Density of the Squared Norm of a Gaussian Vector in Hilbert Space -- On Sequential Conditions for a Cylindrical Measure to be Countably Additive -- A Family of Measures Admitting Consistent Estimates -- V. STOCHASTIC ANALYSIS AND CONTROL -- Asymptotic Behaviour of Solutions of Stochastic Equations -- On the Decomposition of a Maximum of Semimartingales and Ito's Generalized Formula -- Optimal Transmission of Gaussian Signals Involving Cost for Transmission and Feedback -- Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space -- Controlled Random Fields on Graphs and Stochastic Models of Economic Equilibrium -- Asymptotic Expansions for Singulary Perturbed Stochastic Differential Equations -- On Uniformly Optimal Coding of Gaussian Messages in White Gaussian Channels with Feedback -- On the Structure of a Random Graph with Nonuniform Distribution -- Identities for Ladder Functionals of Homogeneous Random Processes and Walks with Independent Increments -- On Convergence of Solutions of Stochastic Equations -- Stochastic Integrals and Stochastic Differential Equations on the Plane Involving Strong Semimartingales -- Itó-Ventsel' Formula For Anticipative Processes -- Connectivity Property and Optimality Almost Surely and in Probability -- Absolute Continuity of Smooth Measures Generated by Nonlinear Equations -- VI. MATHEMATICAL STATISTICS -- A New Method of Asymptotic Analysis of Simple Linear Rank Statistics -- On Stable M-Estimators in the Partial Likelihood Scheme -- Asymptotic Estimation of Integrals of Certain Random Fields -- On Minimax Bound for Parameter Estimation in Ball (Bias Accounting) -- Limit Theorems for Some Random Processes Based on Frequencies -- From Asymptotic Efficiency in Minimax Sense to Bahadur Efficiency -- On Estimating Parameters of a Distribution Concentrated in a Circle -- On the Approximation of the Likelihood Function by a Vector Analogue of the Whittle Statistics -- VII. TOWARDS NATURAL SCIENCES -- On Condensable Point Processes -- The Ground State of a Random Stationary Medium in the Mean Field Approximation -- Scaling Behavior of Random Walks with Topological Constraints -- Convergence of the Stochastic Quantization Method for Lattice R-Gauge Theories -- List of Contributors -- Organizing Committee and Acknowledgement |
title_new |
New Trends in Probability and Statistics. |
title_sort |
new trends in probability and statistics. proceedings of the bakuriani colloquium in honour of yu.v. prohorov, bakuriani, georgia, ussr, 24 february–4 march, 1990 / |
series |
New Trends in Probability and Statistics ; |
series2 |
New Trends in Probability and Statistics ; |
publisher |
De Gruyter, |
publishDate |
2020 |
physical |
1 online resource (IX, 702 p.) : 1 frontisp., num. figs |
edition |
Reprint 2020 |
contents |
Frontmatter -- CONTENTS -- Preface -- Bakuriani Colloquia on Probability Theory and Mathematical Statistics -- I. LIMIT THEOREMS: FINITE - DIMENSIONAL CASE -- On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors -- The Influence of Extremes Summands on the Law of Iterated Logarithm -- Generalized Marcinkiewicz's Theorem and Asymptotic Expansions in the Central Limit Theorem -- On Integrability of sup [Snk /nk] -- Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables -- Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors -- II. LIMIT THEOREMS IN GENERAL SPACES -- On the Distribution of the Sup-Norm for a Stable Motion and the Rate of Convergence -- Semi-Invariant Conditions of Weak Convergence of Random Processes in the Space of Continuous Functions -- Almost Sure Permutational Convergence of Vector Random Series and Kolmogorov's Problem -- Limit Theorems for Stable Laws in Banach Spaces -- An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables -- An Improved Estimate of the Accuracy of Gaussian Approximation in Hilbert Space -- On Laxge Deviations for L-Estimates -- III. LIMIT THEOREMS FOR STOCHASTIC PROCESSES -- Rates of Convergence in the Invariance Principle for Empirical Processes -- Ergodic Theorem for Semimartingale-Helix -- Ergodic Theorems for Discrete Time Random Processes -- On Functional Principle of Large Deviations -- IV. PROBABILITIES IN GENERAL SPACES -- Some Properties of Gaussian Measures and Potentials in Martingale Spaces with Mixed Norm -- Unexpected Limit Behaviour of the Gaussian Tail Probabilities -- Topologies on the Space of a-Additive Cylindrical Probabilities -- Two-Sided Exponential Inequalities for the Distribution of the Norm of Banach Space Valued Random Variables -- Nonuniform Estimates of the Density of the Squared Norm of a Gaussian Vector in Hilbert Space -- On Sequential Conditions for a Cylindrical Measure to be Countably Additive -- A Family of Measures Admitting Consistent Estimates -- V. STOCHASTIC ANALYSIS AND CONTROL -- Asymptotic Behaviour of Solutions of Stochastic Equations -- On the Decomposition of a Maximum of Semimartingales and Ito's Generalized Formula -- Optimal Transmission of Gaussian Signals Involving Cost for Transmission and Feedback -- Stationary and Periodic Solutions of Stochastic Difference and Differential Equations in Banach Space -- Controlled Random Fields on Graphs and Stochastic Models of Economic Equilibrium -- Asymptotic Expansions for Singulary Perturbed Stochastic Differential Equations -- On Uniformly Optimal Coding of Gaussian Messages in White Gaussian Channels with Feedback -- On the Structure of a Random Graph with Nonuniform Distribution -- Identities for Ladder Functionals of Homogeneous Random Processes and Walks with Independent Increments -- On Convergence of Solutions of Stochastic Equations -- Stochastic Integrals and Stochastic Differential Equations on the Plane Involving Strong Semimartingales -- Itó-Ventsel' Formula For Anticipative Processes -- Connectivity Property and Optimality Almost Surely and in Probability -- Absolute Continuity of Smooth Measures Generated by Nonlinear Equations -- VI. MATHEMATICAL STATISTICS -- A New Method of Asymptotic Analysis of Simple Linear Rank Statistics -- On Stable M-Estimators in the Partial Likelihood Scheme -- Asymptotic Estimation of Integrals of Certain Random Fields -- On Minimax Bound for Parameter Estimation in Ball (Bias Accounting) -- Limit Theorems for Some Random Processes Based on Frequencies -- From Asymptotic Efficiency in Minimax Sense to Bahadur Efficiency -- On Estimating Parameters of a Distribution Concentrated in a Circle -- On the Approximation of the Likelihood Function by a Vector Analogue of the Whittle Statistics -- VII. TOWARDS NATURAL SCIENCES -- On Condensable Point Processes -- The Ground State of a Random Stationary Medium in the Mean Field Approximation -- Scaling Behavior of Random Walks with Topological Constraints -- Convergence of the Stochastic Quantization Method for Lattice R-Gauge Theories -- List of Contributors -- Organizing Committee and Acknowledgement |
isbn |
9783112313626 9783110637199 9783112302484 |
url |
https://doi.org/10.1515/9783112313626 https://www.degruyter.com/isbn/9783112313626 https://www.degruyter.com/document/cover/isbn/9783112313626/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9783112313626 |
oclc_num |
1153487190 |
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Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 / |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
is_hierarchy_title |
New Trends in Probability and Statistics. |
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Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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LIMIT THEOREMS: FINITE - DIMENSIONAL CASE -- </subfield><subfield code="t">On the Bounds for the Probabilities of Large Deviations for Random Variables and Vectors -- </subfield><subfield code="t">The Influence of Extremes Summands on the Law of Iterated Logarithm -- </subfield><subfield code="t">Generalized Marcinkiewicz's Theorem and Asymptotic Expansions in the Central Limit Theorem -- </subfield><subfield code="t">On Integrability of sup [Snk /nk] -- </subfield><subfield code="t">Asymptotic Expansions in Large Deviation Zones for the Distribution Density of Sums of Independent Random Variables -- </subfield><subfield code="t">Strong Law of Large Numbers for Operator Normalized Sums of Independent Random Vectors -- </subfield><subfield code="t">II. 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