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1. Uniform central limit theorems [2014]
 Dudley, R. M. (Richard M.)
 Second edition.  New York : Cambridge University Press, 2014.
 Description
 Book — xii, 472 pages ; 23 cm.
 Summary

 1. Donsker's theorem and inequalities
 2. Gaussian processes, sample continuity
 3. Definition of Donsker classes
 4. VapnikCervonenkis combinatorics
 5. Measurability
 6. Limit theorems for VCtype classes
 7. Metric entropy with bracketing
 8. Approximation of functions and sets
 9. Two samples and the bootstrap
 10. Uniform and universal limit theorems
 11. Classes too large to be Donsker Appendix A. Differentiating under an integral sign Appendix B. Multinomial distributions Appendix C. Measures on nonseparable metric spaces Appendix D. An extension of Lusin's theorem Appendix E. Bochner and Pettis integrals Appendix F. Nonexistence of some linear forms Appendix G. Separation of analytic sets Appendix H. YoungOrlicz spaces
 Appendix I. Versions of isonormal processes.
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA273.67 .D84 2014  Unknown 
2. Concrete functional calculus [2011]
 Dudley, R. M. (Richard M.)
 New York : Springer, ©2011.
 Description
 Book — 1 online resource (xii, 667 pages).
 Summary

 Preface
 1 Introduction and Overview
 2 Definitions and Basic Properties of Extended RiemannStieltjes Integrals
 3 Phivariation and pvariation; Inequalities for Integrals
 4 Banach Algebras
 5 Derivatives and Analyticity in Normed Spaces
 6 Nemytskii Operators on Some Function Spaces
 7 Nemytskii Oerators on Lp Spaces
 8 TwoFunction Composition
 9 Product Integration
 10 Nonlinear Differential and Integral Equations
 11 Fourier Series
 12 Stochastic Processes and PhiVariation
 Appendix Nonatomic Measure Spaces
 References
 Subject Index
 Author Index
 Index of Notation.
3. Selected works of R.M. Dudley [2010]
 Dudley, R. M. (Richard M.)
 New York ; London : Springer, ©2010.
 Description
 Book — 1 online resource (xxiv, 481 pages).
 Summary

 Convergence in Law. Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces. Measures on NonSeparable Metric Spaces. Distances of Probability Measures and Random Variables. An Extended Wichura Theorem, Definitions of Donsker Class, and Weighted Empirical Distributions. Markov Processes. Lorentzinvariant Markov processes in relativistic phase space. A note on Lorentzinvariant Markov processes. Asymptotics of Some Relativistic Markov Processes. Gaussian Processes. The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes. On seminorms and probabilities, and abstract Wiener spaces. Sample Functions of the Gaussian Process. On the Lower Tail of Gaussian Seminorms. Empirical Processes. Special Invited Paper. Empirical and Poisson Processes on Classes of Sets or Functions Too Large for Central Limit Theorems. Invariance Principles for Sums of Banach Space Valued Random Elements and Empirical Processes. Universal Donsker Classes and Metric Entropy. Nonlinear functionals and pvariation. Frechet Differentiability, pVariation and Uniform Donsker Classes. The Order of the Remainder in Derivatives of Composition and Inverse Operators for pVariation Norms. Empirical Processes and pvariation. Miscellanea. Pathological Topologies and Random Walks on Abelian Groups. Metric Entropy of Some Classes of Sets with Differentiable Boundaries. Wiener Functionals as Ito Integrals. A Metric Entropy Bound is Not Sufficient for Learnability. Asymptotic Normality with Small Relative Errors of Posterior Probabilities of HalfSpaces.
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4. Real analysis and probability [2002]
 Dudley, R. M. (Richard M.)
 Cambridge ; New York : Cambridge University Press, 2002.
 Description
 Book — 1 online resource (x, 555 pages).
 Summary

 1. Foundations: set theory
 2. General topology
 3. Measures
 4. Integration
 5. Lp spaces: introduction to functional analysis
 6. Convex sets and duality of normed spaces
 7. Measure, topology, and differentiation
 8. Introduction to probability theory
 9. Convergence of laws and central limit theorems
 10. Conditional expectations and martingales
 11. Convergence of laws on separable metric spaces
 12. Stochastic processes
 13. Measurability: Borel isomorphism and analytic sets Appendixes: A. Axiomatic set theory B. Complex numbers, vector spaces, and Taylor's theorem with remainder C. The problem of measure D. Rearranging sums of nonnegative terms E. Pathologies of compact nonmetric spaces Indices.
 (source: Nielsen Book Data)
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5. Real analysis and probability [2002]
 Dudley, R. M. (Richard M.)
 Cambridge ; New York : Cambridge University Press, 2002.
 Description
 Book — x, 555 p. ; 24 cm.
 Summary

 1. Foundations: set theory
 2. General topology
 3. Measures
 4. Integration
 5. Lp spaces: introduction to functional analysis
 6. Convex sets and duality of normed spaces
 7. Measure, topology, and differentiation
 8. Introduction to probability theory
 9. Convergence of laws and central limit theorems
 10. Conditional expectations and martingales
 11. Convergence of laws on separable metric spaces
 12. Stochastic processes
 13. Measurability: Borel isomorphism and analytic sets Appendixes: A. Axiomatic set theory B. Complex numbers, vector spaces, and Taylor's theorem with remainder C. The problem of measure D. Rearranging sums of nonnegative terms E. Pathologies of compact nonmetric spaces Indices.
 (source: Nielsen Book Data)
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .D83 2002  Unknown On reserve at Li and Ma Science Library 2day loan 
MATH230B01, STATS310B01
 Course
 MATH230B01  Theory of Probability
 Instructor(s)
 Dembo, Amir
 Course
 STATS310B01  Theory of Probability II
 Instructor(s)
 Dembo, Amir
 Dudley, R. M. (Richard M.)
 Cambridge ; New York : Cambridge University Press, 2002.
 Description
 Book — x, 555 p.
 Summary

 1. Foundations: set theory
 2. General topology
 3. Measures
 4. Integration
 5. Lp spaces: introduction to functional analysis
 6. Convex sets and duality of normed spaces
 7. Measure, topology, and differentiation
 8. Introduction to probability theory
 9. Convergence of laws and central limit theorems
 10. Conditional expectations and martingales
 11. Convergence of laws on separable metric spaces
 12. Stochastic processes
 13. Measurability: Borel isomorphism and analytic sets Appendixes: A. Axiomatic set theory B. Complex numbers, vector spaces, and Taylor's theorem with remainder C. The problem of measure D. Rearranging sums of nonnegative terms E. Pathologies of compact nonmetric spaces Indices.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Dudley, R. M. (Richard M.)
 Berlin ; London : Springer, c1999.
 Description
 Book — vii, 277 p. ; 24 cm.
 Summary

 Preface. A survey on differentiability of six operators in relation to probability and statistics. Product integrals, Young integrals and pvariation. Differentiability of the composition and inverse operators for regulated and a.e. continuous functions. Bibliographies on pvariation and phivariation. Subject Index. Author Index.
 (source: Nielsen Book Data)
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SAL1&2 (oncampus shelving)
SAL1&2 (oncampus shelving)  Status 

Serials  Request 
Shelved by Series title V.1703  Unknown 
8. Uniform central limit theorems [1999]
 Dudley, R. M. (Richard M.)
 Cambridge ; New York : Cambridge University Press, 1999.
 Description
 Book — xiv, 436 p. : ill. ; 24 cm.
 Summary

 Preface
 1. Introduction: Donsker's theorem, metric entropy and inequalities
 2. Gaussian measures and processes sample continuity
 3. Foundations of uniform central limit theorems: Donsker classes
 4. Vapnik ervonenkis combinatorics
 5. Measurability
 6. Limit theorems for Vapnik ervonenkis and related classes
 7. Metric entropy, with inclusion and bracketing
 8. Approximation of functions and sets
 9. Sums in general Banach spaces and invariance principles
 10. Universal and uniform central limit theorems
 11. The twosample case, the bootstrap, and confidence sets
 12. Classes of sets or functions too large for central limit theorems Appendices Subject index Author index Index of notation.
 (source: Nielsen Book Data)
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA273.67 .D84 1999  Unknown 
9. Real analysis and probability [1989]
 Dudley, R. M. (Richard M.)
 Pacific Grove, Calif. : Brooks/Cole Pub. Co., 1989.
 Description
 Book — xi, 436 p. : ill. ; 24 cm.
 Summary

 Foundations: set theory. General topology. Measures. Integration. Lp spaces: introduction to functional analysis. Convex sets and duality of normed spaces. Measure, topology and differentiation. Introduction to probability theory. Convergence of laws and central limit theorems. Conditional expectation and martingales. Convergence of laws on separable metric spaces. Stochastic processes. Measurability: Borel isomorphism and analytic sets. Appendices.
 (source: Nielsen Book Data)
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .D83 1989  Unknown 
10. Probabilities and metrics : convergence of laws on metric spaces, with a view to statistical testing [1976]
 Dudley, R. M. (Richard M.)
 [Aarhus, Denmark] : Aarhus universitet, Matematisk institut, 1976.
 Description
 Book — [128] p. ; 21 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request 
QA1 .A13 NO.45  Available 
 Boston : Birkhäuser, c1992.
 Description
 Book — xi, 510 p. ; 24 cm.
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request 
QA 273.43 .P773 1992  Available 
 Ecole d'été de probabilités de SaintFlour (12th : 1982)
 Berlin ; New York : SpringerVerlag, 1984.
 Description
 Book — x, 396 p. ; 25 cm.
SAL1&2 (oncampus shelving)
SAL1&2 (oncampus shelving)  Status 

Serials  Request 
Shelved by Series title V.1097  Unknown 
 Gaithersburg, MD : U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, Computer Security Division, Information Technology Laboratory, [2006]
 Description
 Book — 1 online resource ([97] p.) : ill.
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