Mathematical Statistics and Limit Theorems

Mathematical Statistics and Limit Theorems PDF Author: Marc Hallin
Publisher: Springer
ISBN: 3319124420
Category : Mathematics
Languages : en
Pages : 326

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Book Description
This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.

Mathematical Statistics and Limit Theorems

Mathematical Statistics and Limit Theorems PDF Author: Marc Hallin
Publisher: Springer
ISBN: 3319124420
Category : Mathematics
Languages : en
Pages : 326

Get Book Here

Book Description
This Festschrift in honour of Paul Deheuvels’ 65th birthday compiles recent research results in the area between mathematical statistics and probability theory with a special emphasis on limit theorems. The book brings together contributions from invited international experts to provide an up-to-date survey of the field. Written in textbook style, this collection of original material addresses researchers, PhD and advanced Master students with a solid grasp of mathematical statistics and probability theory.

Some Limit Theorems in Statistics

Some Limit Theorems in Statistics PDF Author: R. R. Bahadur
Publisher: SIAM
ISBN: 0898711754
Category : Mathematics
Languages : en
Pages : 48

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Book Description
A discussion of topics in the theory of large deviations and of aspects of estimation and testing in large samples.

Some Limit Theorems in Statistics

Some Limit Theorems in Statistics PDF Author: R. R. Bahadur
Publisher: SIAM
ISBN: 9781611970630
Category : Mathematics
Languages : en
Pages : 48

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Book Description
A discussion of some topics in the theory of large deviations such as moment-generating functions and Chernoff's theorem, and of aspects of estimation and testing in large samples, such as exact slopes of test statistics.

Introductory Statistics 2e

Introductory Statistics 2e PDF Author: Barbara Illowsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2106

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Book Description
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.

Limit Theorems of Probability Theory

Limit Theorems of Probability Theory PDF Author: Yu.V. Prokhorov
Publisher: Springer Science & Business Media
ISBN: 3662041723
Category : Mathematics
Languages : en
Pages : 280

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Book Description
A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.

Uniform Central Limit Theorems

Uniform Central Limit Theorems PDF Author: R. M. Dudley
Publisher: Cambridge University Press
ISBN: 0521461022
Category : Mathematics
Languages : en
Pages : 452

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Book Description
This treatise by an acknowledged expert includes several topics not found in any previous book.

Limit Theorems for Randomly Stopped Stochastic Processes

Limit Theorems for Randomly Stopped Stochastic Processes PDF Author: Dmitrii S. Silvestrov
Publisher: Springer Science & Business Media
ISBN: 0857293907
Category : Mathematics
Languages : en
Pages : 408

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Book Description
This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and technically demanding Russian literature in detail. Its coverage is thorough, streamlined and arranged according to difficulty.

A History of the Central Limit Theorem

A History of the Central Limit Theorem PDF Author: Hans Fischer
Publisher: Springer Science & Business Media
ISBN: 0387878572
Category : Mathematics
Languages : en
Pages : 415

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Book Description
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.

Dependence in Probability and Statistics

Dependence in Probability and Statistics PDF Author: Paul Doukhan
Publisher: Springer Science & Business Media
ISBN: 3642141048
Category : Mathematics
Languages : en
Pages : 222

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Book Description
This account of recent works on weakly dependent, long memory and multifractal processes introduces new dependence measures for studying complex stochastic systems and includes other topics such as the dependence structure of max-stable processes.

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables PDF Author: Shoumei Li
Publisher: Springer Science & Business Media
ISBN: 9781402009181
Category : Mathematics
Languages : en
Pages : 414

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Book Description
This book presents a clear, systematic treatment of convergence theorems of set-valued random variables (random sets) and fuzzy set-valued random variables (random fuzzy sets). Topics such as strong laws of large numbers and central limit theorems, including new results in connection with the theory of empirical processes are covered. The author's own recent developments on martingale convergence theorems and their applications to data processing are also included. The mathematical foundations along with a clear explanation such as Hölmander's embedding theorem, notions of various convergence of sets and fuzzy sets, Aumann integrals, conditional expectations, selection theorems, measurability and integrability arguments for both set-valued and fuzzy set-valued random variables and newly obtained optimizations techniques based on invariant properties are also given.