书目名称 | Theory of Random Sets | 编辑 | Ilya Molchanov | 视频video | | 概述 | Comprehensively covers the theory of random sets.Explores interdisciplinary connections and applications of the theory.Extensive and updated bibliography.Includes latest developments in the field | 丛书名称 | Probability Theory and Stochastic Modelling | 图书封面 |  | 描述 | .This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance...The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight...Aimed at research level, .Theory of Random Sets. will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematica | 出版日期 | Book 2017Latest edition | 关键词 | 60D05, 26E25, 28B20, 52A22, 49J53, 54C65, 60B05, 60E07, 60F15; 60G55, 60G57, 62M30; random closed sets | 版次 | 2 | doi | https://doi.org/10.1007/978-1-4471-7349-6 | isbn_softcover | 978-1-4471-7407-3 | isbn_ebook | 978-1-4471-7349-6Series ISSN 2199-3130 Series E-ISSN 2199-3149 | issn_series | 2199-3130 | copyright | Springer-Verlag London Ltd. 2017 |
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