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|a 2012010132
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|a 9781107017771 (hardback)
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|a pcc
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|a 519.2/3
|2 23
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|a MAT029000
|2 bisacsh
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| 100 |
1 |
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|a Nourdin, Ivan.
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| 245 |
1 |
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|a Normal approximations with Malliavin calculus :
|b from Stein's method to universality /
|c Ivan Nourdin, Giovanni Peccati.
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| 260 |
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|a Cambridge [England] ;
|a New York :
|b Cambridge University Press,
|c 2012.
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| 300 |
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|a xiv, 239 p. ;
|c 23 cm.
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| 490 |
0 |
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|a Cambridge tracts in mathematics ;
|v 192
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| 504 |
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|a Includes bibliographical references (p. 227-234) and indexes.
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| 505 |
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|a Machine generated contents note: Preface; Introduction; 1. Malliavin operators in the one-dimensional case; 2. Malliavin operators and isonormal Gaussian processes; 3. Stein's method for one-dimensional normal approximations; 4. Multidimensional Stein's method; 5. Stein meets Malliavin: univariate normal approximations; 6. Multivariate normal approximations; 7. Exploring the Breuer-Major Theorem; 8. Computation of cumulants; 9. Exact asymptotics and optimal rates; 10. Density estimates; 11. Homogeneous sums and universality; Appendix 1. Gaussian elements, cumulants and Edgeworth expansions; Appendix 2. Hilbert space notation; Appendix 3. Distances between probability measures; Appendix 4. Fractional Brownian motion; Appendix 5. Some results from functional analysis; References; Index.
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| 650 |
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|a Approximation theory.
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| 650 |
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|a Malliavin calculus.
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| 650 |
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7 |
|a MATHEMATICS / Probability & Statistics / General.
|2 bisacsh
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| 700 |
1 |
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|a Peccati, Giovanni,
|e Author.
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| 856 |
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2 |
|3 Cover image
|u http://assets.cambridge.org/97811070/17771/cover/9781107017771.jpg
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|b cbc
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|b xj07 2012-03-09
|c xj07 2012-03-09 ONIX to Gen Sci/STM
|a xn05 2012-08-01 1 copy rec'd., to CIP ver.
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|d 2019-05-14
|i 6049
|l 0
|o 519.2/3
|p MAT6049
|r 2019-05-14
|w 2019-05-14
|y BK
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