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91521066
Limit Theorems of Probability Theory (Encyclopaedia of Mathematical Sciences, 6)
Item #:
91521066
PHP 12212
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This comprehensive volume explores classical limit theorems and their implications in complex structures, perfect for those looking to deepen their understanding of probability theory.
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What Stands Out
Comprehensive Coverage
This volume provides an exhaustive overview of limit theorems, essential for advanced studies in probability theory and statistical applications. It systematically covers foundational concepts and their implications in various scientific fields.
Expert Contributions
Authored by leading mathematicians, this reference ensures high-quality content, incorporating the latest research developments. Each chapter reflects cutting-edge techniques and methods, making it invaluable for both scholars and practitioners alike.
Interdisciplinary Impact
The insights from limit theorems discussed in this book extend across disciplines, enhancing the understanding of randomness in fields like finance, engineering, and the sciences, thus broadening its appeal to a diverse audience.
Product Details
- This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, Classical-Type Limit Theorems for Sums ofIndependent Random Variables (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, The Accuracy of Gaussian Approximation in Banach Spaces (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.
| Publisher | Springer |
| Publication date | 28 Aug. 2000 |
| Edition | New |
| Language | English |
| Print length | 283 pages |
| ISBN-10 | 3540570454 |
| ISBN-13 | 978-3540570455 |
| Item weight | 522 g |
| Dimensions | 15.88 x 1.27 x 22.86 cm |
Who Should Buy?
-
Advanced Researchers
Ideal for researchers who need in-depth understanding of probability theory limit theorems for their academic work.
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Graduate Students
Excellent resource for graduate students specializing in probability or statistics to enhance their theoretical knowledge.
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Mathematics Instructors
Useful for instructors seeking comprehensive materials to teach advanced probability concepts in university classes.
-
Beginner Learners
Not suitable for beginners who lack foundational knowledge in probability and mathematics concepts.
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Statistics & Probability Editorial Review
Limit Theorems Of Probability Theory (Encyclopaedia Of Mathematical Sciences, 6) is a comprehensive resource published by Springer on August 28, 2000. This new edition encompasses 283 pages, providing an in-depth exploration of pivotal concepts in probability theory. The book is written in English and is accompanied by an ISBN-10 of 3540570454 and ISBN-13 of 978-3540570455, making it easily identifiable for readers and researchers. It has dimensions of 15.88 x 1.27 x 22.86 cm and weighs 522 g, ensuring it is a practical addition to any academic library or personal collection.
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Pros
- In-depth exploration of probability theory concepts
- Comprehensive resource for mathematical sciences
- Published by a reputable academic publisher
- Suitable for both students and researchers
- Well-structured and easy to understand
Cons
- Some readers may find the content complex
Product Price History
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Features & Benefits
- Comprehensive exploration of classical limit theorems in probability theory.
- Focus on sums of independent random variables and key results.
- Key topics include central limit theorem and laws of large numbers.
- Discusses the accuracy of Gaussian approximation in infinite-dimensional spaces.
- Addresses asymptotic problems in statistics related to Banach spaces.
- Written by various authors, ensuring diverse insights and depth.
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