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The Resource A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)
A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)
Resource Information
The item A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This study aims to embed the history of the central limit theorem within the history of the development of probability theory from its classical to its modern shape, and, more generally, within the corresponding development of mathematics. The history of the central limit theorem is not only expressed in light of "technical" achievement, but is also tied to the intellectual scope of its advancement. The history starts with Laplace's 1810 approximation to distributions of linear combinations of large numbers of independent random variables and its modifications by Poisson, Dirichlet, and Cauchy, and it proceeds up to the discussion of limit theorems in metric spaces by Donsker and Mourier around 1950. This selfcontained exposition additionally describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The importance of historical connections between the history of analysis and the history of probability theory is demonstrated in great detail. With a thorough discussion of mathematical concepts and ideas of proofs, the reader will be able to understand the mathematical details in light of contemporary development. Special terminology and notations of probability and statistics are used in a modest way and explained in historical context
 Language

 eng
 eng
 Edition
 1st ed. 2011.
 Extent
 1 online resource (414 p.)
 Note
 Description based upon print version of record
 Contents

 Preface
 Introduction
 The central limit theorem from laplace to cauchy: changes in stochastic objectives and in analytical methods
 The hypothesis of elementary errors
 Chebyshev's and markov's contributions
 The way towards modern probability
 General limit problems
 Conclusion: the central limit theorem as a link between classical and modern probability
 Index
 Bibliography
 Isbn
 9781282973589
 Label
 A History of the Central Limit Theorem : From Classical to Modern Probability Theory
 Title
 A History of the Central Limit Theorem
 Title remainder
 From Classical to Modern Probability Theory
 Statement of responsibility
 by Hans Fischer
 Language

 eng
 eng
 Summary
 This study aims to embed the history of the central limit theorem within the history of the development of probability theory from its classical to its modern shape, and, more generally, within the corresponding development of mathematics. The history of the central limit theorem is not only expressed in light of "technical" achievement, but is also tied to the intellectual scope of its advancement. The history starts with Laplace's 1810 approximation to distributions of linear combinations of large numbers of independent random variables and its modifications by Poisson, Dirichlet, and Cauchy, and it proceeds up to the discussion of limit theorems in metric spaces by Donsker and Mourier around 1950. This selfcontained exposition additionally describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The importance of historical connections between the history of analysis and the history of probability theory is demonstrated in great detail. With a thorough discussion of mathematical concepts and ideas of proofs, the reader will be able to understand the mathematical details in light of contemporary development. Special terminology and notations of probability and statistics are used in a modest way and explained in historical context
 http://library.link/vocab/creatorName
 Fischer, Hans
 Dewey number
 519.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 u467PhpYEfI
 Language note
 English
 LC call number
 QA2127
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Sources and Studies in the History of Mathematics and Physical Sciences,
 http://library.link/vocab/subjectName

 Distribution (Probability theory
 Statistics
 History of Mathematical Sciences
 Probability Theory and Stochastic Processes
 Statistics, general
 Label
 A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 363391) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preface  Introduction  The central limit theorem from laplace to cauchy: changes in stochastic objectives and in analytical methods  The hypothesis of elementary errors  Chebyshev's and markov's contributions  The way towards modern probability  General limit problems  Conclusion: the central limit theorem as a link between classical and modern probability  Index  Bibliography
 Dimensions
 unknown
 Edition
 1st ed. 2011.
 Extent
 1 online resource (414 p.)
 Form of item
 online
 Isbn
 9781282973589
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780387878577
 Specific material designation
 remote
 System control number

 (CKB)2550000000020006
 (EBL)646165
 (OCoLC)682910965
 (SSID)ssj0000449627
 (PQKBManifestationID)11285589
 (PQKBTitleCode)TC0000449627
 (PQKBWorkID)10429097
 (PQKB)11040103
 (DEHe213)9780387878577
 (MiAaPQ)EBC646165
 (EXLCZ)992550000000020006
 Label
 A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 363391) and indexes
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preface  Introduction  The central limit theorem from laplace to cauchy: changes in stochastic objectives and in analytical methods  The hypothesis of elementary errors  Chebyshev's and markov's contributions  The way towards modern probability  General limit problems  Conclusion: the central limit theorem as a link between classical and modern probability  Index  Bibliography
 Dimensions
 unknown
 Edition
 1st ed. 2011.
 Extent
 1 online resource (414 p.)
 Form of item
 online
 Isbn
 9781282973589
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780387878577
 Specific material designation
 remote
 System control number

 (CKB)2550000000020006
 (EBL)646165
 (OCoLC)682910965
 (SSID)ssj0000449627
 (PQKBManifestationID)11285589
 (PQKBTitleCode)TC0000449627
 (PQKBWorkID)10429097
 (PQKB)11040103
 (DEHe213)9780387878577
 (MiAaPQ)EBC646165
 (EXLCZ)992550000000020006
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AHistoryoftheCentralLimitTheoremFrom/vxNLVDNLV1E/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AHistoryoftheCentralLimitTheoremFrom/vxNLVDNLV1E/">A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>