| 書(shū)目名稱 | Probability | | 副標(biāo)題 | An Introduction Thro | | 編輯 | Paolo Baldi | | 視頻video | http://file.papertrans.cn/757/756851/756851.mp4 | | 概述 | A complete one-semester course in probability with measure theory.Provides the necessary background to study stochastic calculus and advanced statistics.Includes over 150 exercises with full solutions | | 叢書(shū)名稱 | Universitext | | 圖書(shū)封面 |  | | 描述 | .This textbook offers a complete one-semester course in probability, covering the essential topics necessary for further study in the areas of probability and statistics...The book begins with a review of the fundamentals of measure theory and integration. Probability measures, random variables, and their laws are introduced next, along with the main analytic tools for their investigation, accompanied by some applications to statistics. Questions of convergence lead to classical results such as the law of large numbers and the central limit theorem with their applications also to statistical analysis and more. Conditioning is the next main topic, followed by a thorough introduction to discrete time martingales. Some attention is given to computer simulation. Through the text, over 150 exercises with full solutions not only reinforce the concepts presented, but also provide students with opportunities to develop their problem-solving skills, and make this textbook suitable forguided self-study...Based on years of teaching experience, the author‘s expertise will be evident in the clear presentation of material and the carefully chosen exercises. Assuming familiarity with measure and | | 出版日期 | Textbook 2023 | | 關(guān)鍵詞 | textbook on probability with measure theory; measure theory for probability; Lebesgue integration for | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-38492-9 | | isbn_softcover | 978-3-031-38491-2 | | isbn_ebook | 978-3-031-38492-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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