The methods of distances in the theory of probability and statistics / (Record no. 880)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04008cam a22003497i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 17518772 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200804093859.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 121105s2013 nyua b 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2012953265 |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER | |
| Record control number | 016210726 |
| Source | Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781461448686 (hbk. : alk. paper) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)ocn798062468 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | BTCTA |
| Language of cataloging | eng |
| Transcribing agency | KCST |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | lccopycat |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA273.45 |
| Item number | .M48 2013 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2 |
| Edition number | 23 |
| 245 04 - TITLE STATEMENT | |
| Title | The methods of distances in the theory of probability and statistics / |
| Statement of responsibility, etc. | Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank J. Fabozzi. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | London : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xvi, 619 pages : |
| Other physical details | illustrations ; |
| Dimensions | 25 cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | General topics in the theory of probability metrics -- |
| -- | Probability Distances and Probability Metrics: Definitions -- |
| -- | Primary, Simple, and Compound Probability Distances and Minimal and Maximal Distances and Norms -- |
| -- | A Structural Classification of Probability Distances -- |
| -- | Relations between compound, simple and primary distances -- |
| -- | Monge-Kantorovich Mass Transference Problem, Minimal Distances and Minimal Norms -- |
| -- | Quantitative Relationships Between Minimal Distances and Minimal Norms -- |
| -- | K -Minimal Metrics -- |
| -- | Relations Between Minimal and Maximal Distances -- |
| -- | Moment Problems Related to the Theory of Probability Metrics: Relations Between Compound and Primary Distances -- |
| -- | Applications of minimal probability distances -- |
| -- | Moment Distances -- |
| -- | Uniformity in Weak and Vague Convergence -- |
| -- | Glivenko-Cantelli Theorem and Bernstein-Kantorovich Invariance Principle -- |
| -- | Stability of Queueing Systems -- |
| -- | Optimal Quality Usage / |
| Statement of responsibility | Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank J. Fabozzi -- |
| Title | Ideal metrics -- |
| -- | Ideal Metrics with Respect to Summation Scheme for i.i.d. Random Variables -- |
| -- | Ideal Metrics and Rate of Convergence in the CLT for Random Motions -- |
| -- | Applications of Ideal Metrics for Sums of i.i.d. Random Variables to the Problems of Stability and Approximation in Risk Theory -- |
| -- | How Close Are the Individual and Collective Models in Risk Theory? -- |
| -- | Ideal Metric with Respect to Maxima Scheme of i.i.d. Random Elements -- |
| -- | Ideal Metrics and Stability of Characterizations of Probability Distributions -- |
| -- | Euclidean-like distances and their applications -- |
| -- | Positive and Negative Definite Kernels and Their Properties -- |
| -- | Negative Definite Kernels and Metrics: Recovering Measures from Potentials -- |
| -- | Statistical Estimates Obtained by the Minimal Distances Method -- |
| -- | Some Statistical Tests Based on N -Distances -- |
| -- | Distances Defined by Zonoids -- |
| -- | N -Distance Tests of Uniformity on the Hypersphere. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics. After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics.-- |
| Assigning source | Source other than Library of Congress. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Probabilities. |
| 9 (RLIN) | 1388 |
| Topical term or geographic name entry element | Mathematical statistics. |
| 9 (RLIN) | 1389 |
| Topical term or geographic name entry element | Combinatorial probabilities. |
| 9 (RLIN) | 4574 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Rachev, S. T. |
| Fuller form of name | (Svetlozar Todorov) |
| 9 (RLIN) | 4576 |
| Personal name | Klebanov, L. B. |
| Fuller form of name | (Lev Borisovich), |
| Dates associated with a name | 1946- |
| 9 (RLIN) | 4577 |
| Personal name | Stoyanov, Stoyan V. |
| 9 (RLIN) | 4578 |
| Personal name | Fabozzi, Frank J. |
| 9 (RLIN) | 4579 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| KCST Library | KCST Library | 2020-07-01 | 519.2 Me | 1000000605 | 2020-07-01 | 2020-07-01 | Book |