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)

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
Creator
Author
Author
Subject
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 self-contained 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
Member of
http://library.link/vocab/creatorName
Fischer, Hans
Dewey number
519.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
u467PhpYEfI
Language note
English
LC call number
QA21-27
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)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 363-391) 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
10.1007/978-0-387-87857-7
Specific material designation
remote
System control number
  • (CKB)2550000000020006
  • (EBL)646165
  • (OCoLC)682910965
  • (SSID)ssj0000449627
  • (PQKBManifestationID)11285589
  • (PQKBTitleCode)TC0000449627
  • (PQKBWorkID)10429097
  • (PQKB)11040103
  • (DE-He213)978-0-387-87857-7
  • (MiAaPQ)EBC646165
  • (EXLCZ)992550000000020006
Label
A History of the Central Limit Theorem : From Classical to Modern Probability Theory, by Hans Fischer, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 363-391) 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
10.1007/978-0-387-87857-7
Specific material designation
remote
System control number
  • (CKB)2550000000020006
  • (EBL)646165
  • (OCoLC)682910965
  • (SSID)ssj0000449627
  • (PQKBManifestationID)11285589
  • (PQKBTitleCode)TC0000449627
  • (PQKBWorkID)10429097
  • (PQKB)11040103
  • (DE-He213)978-0-387-87857-7
  • (MiAaPQ)EBC646165
  • (EXLCZ)992550000000020006

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