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The Resource A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (electronic resource)
A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (electronic resource)
Resource Information
The item A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (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 Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (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
 The book develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wideranging applications. With this goal in mind, the pace is lively, yet thorough. Basic notions of independence and conditional expectation are introduced relatively early on in the text, while conditional expectation is illustrated in detail in the context of martingales, Markov property and strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two highlights. The historic role of sizebiasing is emphasized in the contexts of large deviations and in developments of Tauberian Theory. The authors assume a graduate level of maturity in mathematics, but otherwise the book will be suitable for students with varying levels of background in analysis and measure theory. In particular, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference. Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have coauthored numerous books, including the graduate textbook, Stochastic Processes with Applications
 Language

 eng
 eng
 Edition
 1st ed. 2007.
 Extent
 1 online resource (216 p.)
 Note
 Description based upon print version of record
 Contents

 Random Maps, Distribution, and Mathematical Expectation
 Independence, Conditional Expectation
 Martingales and Stopping Times
 Classical Zeroâ€“One Laws, Laws of Large Numbers and Deviations
 Weak Convergence of Probability Measures
 Fourier Series, Fourier Transform, and Characteristic Functions
 Classical Central Limit Theorems
 Laplace Transforms and Tauberian Theorem
 Random Series of Independent Summands
 Kolmogorov's Extension Theorem and Brownian Motion
 Brownian Motion: The LIL and Some FineScale Properties
 Skorokhod Embedding and Donsker's Invariance Principle
 A Historical Note on Brownian Motion
 Isbn
 9780387719399
 Label
 A Basic Course in Probability Theory
 Title
 A Basic Course in Probability Theory
 Statement of responsibility
 by Rabi Bhattacharya, Edward C. Waymire
 Language

 eng
 eng
 Summary
 The book develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wideranging applications. With this goal in mind, the pace is lively, yet thorough. Basic notions of independence and conditional expectation are introduced relatively early on in the text, while conditional expectation is illustrated in detail in the context of martingales, Markov property and strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two highlights. The historic role of sizebiasing is emphasized in the contexts of large deviations and in developments of Tauberian Theory. The authors assume a graduate level of maturity in mathematics, but otherwise the book will be suitable for students with varying levels of background in analysis and measure theory. In particular, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference. Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have coauthored numerous books, including the graduate textbook, Stochastic Processes with Applications
 http://library.link/vocab/creatorName
 Bhattacharya, Rabi
 Dewey number
 519.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 7OUNbyuNZu0
 tDhJzW4oDDI
 Language note
 English
 LC call number

 QA273.A1274.9
 QA274274.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Waymire, Edward C.
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Distribution (Probability theory
 Mathematics
 Global analysis (Mathematics)
 Probability Theory and Stochastic Processes
 Measure and Integration
 Analysis
 Label
 A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [201]204) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Random Maps, Distribution, and Mathematical Expectation  Independence, Conditional Expectation  Martingales and Stopping Times  Classical Zeroâ€“One Laws, Laws of Large Numbers and Deviations  Weak Convergence of Probability Measures  Fourier Series, Fourier Transform, and Characteristic Functions  Classical Central Limit Theorems  Laplace Transforms and Tauberian Theorem  Random Series of Independent Summands  Kolmogorov's Extension Theorem and Brownian Motion  Brownian Motion: The LIL and Some FineScale Properties  Skorokhod Embedding and Donsker's Invariance Principle  A Historical Note on Brownian Motion
 Dimensions
 unknown
 Edition
 1st ed. 2007.
 Extent
 1 online resource (216 p.)
 Form of item
 online
 Isbn
 9780387719399
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780387719399
 Specific material designation
 remote
 System control number

 (CKB)1000000000491954
 (EBL)3062687
 (SSID)ssj0000316440
 (PQKBManifestationID)11223742
 (PQKBTitleCode)TC0000316440
 (PQKBWorkID)10275219
 (PQKB)11503626
 (DEHe213)9780387719399
 (MiAaPQ)EBC3062687
 (EXLCZ)991000000000491954
 Label
 A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [201]204) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Random Maps, Distribution, and Mathematical Expectation  Independence, Conditional Expectation  Martingales and Stopping Times  Classical Zeroâ€“One Laws, Laws of Large Numbers and Deviations  Weak Convergence of Probability Measures  Fourier Series, Fourier Transform, and Characteristic Functions  Classical Central Limit Theorems  Laplace Transforms and Tauberian Theorem  Random Series of Independent Summands  Kolmogorov's Extension Theorem and Brownian Motion  Brownian Motion: The LIL and Some FineScale Properties  Skorokhod Embedding and Donsker's Invariance Principle  A Historical Note on Brownian Motion
 Dimensions
 unknown
 Edition
 1st ed. 2007.
 Extent
 1 online resource (216 p.)
 Form of item
 online
 Isbn
 9780387719399
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9780387719399
 Specific material designation
 remote
 System control number

 (CKB)1000000000491954
 (EBL)3062687
 (SSID)ssj0000316440
 (PQKBManifestationID)11223742
 (PQKBTitleCode)TC0000316440
 (PQKBWorkID)10275219
 (PQKB)11503626
 (DEHe213)9780387719399
 (MiAaPQ)EBC3062687
 (EXLCZ)991000000000491954
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

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/ABasicCourseinProbabilityTheorybyRabi/gA1i0c5rj6w/" 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/ABasicCourseinProbabilityTheorybyRabi/gA1i0c5rj6w/">A Basic Course in Probability Theory, by Rabi Bhattacharya, Edward C. Waymire, (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>