The Resource Measure & probability, S.R. Athreya, V.S. Sunder
Measure & probability, S.R. Athreya, V.S. Sunder
Resource Information
The item Measure & probability, S.R. Athreya, V.S. Sunder represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Measure & probability, S.R. Athreya, V.S. Sunder represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 "This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."BOOK JACKET
 Language
 eng
 Extent
 x, 221 p.
 Contents

 1.
 Probabilities and Measures.
 p. 1
 2.
 Integration.
 p. 26
 3.
 Random Variables.
 p. 42
 4.
 Probability Measures on Product Spaces.
 p. 56
 5.
 Characteristics and Convergences.
 p. 73
 6.
 Markov Chains.
 p. 101
 7.
 Some Analysis.
 p. 137
 A.
 Appendix.
 p. 182
 B.
 Tables.
 p. 215
 References.
 p. 217
 Index.
 p. 219
 Isbn
 9781439801260
 Label
 Measure & probability
 Title
 Measure & probability
 Statement of responsibility
 S.R. Athreya, V.S. Sunder
 Language
 eng
 Summary
 "This book has been designed primarily for students at the masters and doctoral levels. It covers the fundamentals of measure theory and probability theory. It begins with the construction of Lebesgue measure via Caratheodory's outer measure approach and goes on to discuss integration and standard convergence theorems (monotone and dominated, as well as Fatou's lemma). An entire chapter is devoted to complex measures, L P spaces, RadonNikodym theorem and the Riesz representation theorem. The elements of probability theory (random variables, distributions, independence, product measures spaces) as also the law of large numbers and central limit theorem are presented. Discrete time Markov chains, stationary distributions and limit theorems are then discussed." "Among the highlights are alternative proofs of Riesz representation theorem and the law of large numbers. Finally, the appendix treats many basic topics such as metric spaces, topological spaces and the StoneWeierstrass theorem."BOOK JACKET
 Cataloging source
 BTCTA
 http://library.link/vocab/creatorDate
 1971
 http://library.link/vocab/creatorName
 Athreya, Siva
 Index
 index present
 LC call number
 QA312
 LC item number
 .A85 2008
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Sunder, V. S
 http://library.link/vocab/subjectName

 Probabilities
 Random measures
 Label
 Measure & probability, S.R. Athreya, V.S. Sunder
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 1.
 Probabilities and Measures.
 p. 1
 2.
 Integration.
 p. 26
 3.
 Random Variables.
 p. 42
 4.
 Probability Measures on Product Spaces.
 p. 56
 5.
 Characteristics and Convergences.
 p. 73
 6.
 Markov Chains.
 p. 101
 7.
 Some Analysis.
 p. 137
 A.
 Appendix.
 p. 182
 B.
 Tables.
 p. 215
 References.
 p. 217
 Index.
 p. 219
 Control code
 16001228490
 Dimensions
 24 cm.
 Extent
 x, 221 p.
 Isbn
 9781439801260
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Label
 Measure & probability, S.R. Athreya, V.S. Sunder
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 1.
 Probabilities and Measures.
 p. 1
 2.
 Integration.
 p. 26
 3.
 Random Variables.
 p. 42
 4.
 Probability Measures on Product Spaces.
 p. 56
 5.
 Characteristics and Convergences.
 p. 73
 6.
 Markov Chains.
 p. 101
 7.
 Some Analysis.
 p. 137
 A.
 Appendix.
 p. 182
 B.
 Tables.
 p. 215
 References.
 p. 217
 Index.
 p. 219
 Control code
 16001228490
 Dimensions
 24 cm.
 Extent
 x, 221 p.
 Isbn
 9781439801260
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/MeasureprobabilityS.R.AthreyaV.S./pyZNT0htk2w/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/MeasureprobabilityS.R.AthreyaV.S./pyZNT0htk2w/">Measure & probability, S.R. Athreya, V.S. Sunder</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>