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100111s2010 nju sb 001 0 eng d |
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|z 9789814280785 (hbk)
|z 981428078X (hbk)
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| 040 |
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|a CaPaEBR
|z 9789814280792 (e-book)
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| 050 |
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|a QA274
|b .A64 2010eb
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| 100 |
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|a Anastassiou, George A.,
|d 1952-
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| 245 |
1 |
0 |
|a Probabilistic inequalities
|c George A. Anastassiou.
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| 260 |
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|a Hackensack, N.J. :
|b World Scientific,
|c c2010.
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| 300 |
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|a xii, 416 p.
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| 490 |
1 |
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|a Series on concrete and applicable mathematics ;
|v v. 7
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| 504 |
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|a Includes bibliographical references (p. 395-411) and index.
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| 505 |
0 |
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|a 1. Introduction -- 2. Basic stochastic Ostrowski inequalities -- 3. Multidimensional Montgomery identities and Ostrowski type inequalities -- 4. General probabilistic inequalities -- 5. About Grothendieck inequalities -- 6. Basic optimal estimation of Csiszar's f-divergence -- 7. Approximation via representations of Csiszar's f-divergence -- 8. Sharp high degree estimation of Csiszar's f-divergence -- 9. Csiszar's f-divergence as a measure of dependence --10. Optimal estimation of discrete Csiszar f-divergence -- 11. About a general discrete measure of dependence -- 12. Hθolder-Like Csiszar's f-divergence inequalities -- 13. Csiszar's discrimination and Ostrowski inequalities via Euler-type and Fink identities -- 14. Taylor-Widder representations and Grθuss, Means, Ostrowski and Csiszar's inequalities -- 15. Representations of functions and Csiszar's f-divergence -- 16. About general moment theory -- 17. Extreme bounds on the average of a rounded off observation under a moment condition -- 18. Moment theory of random rounding rules subject to one moment condition -- 19. Moment theory on random rounding rules using two moment conditions -- 20. Prokhorov radius around zero using three moment constraints -- 21. Precise rates of Prokhorov convergence using three moment conditions -- 22. On Prokhorov convergence or probability measures to the unit under three moments -- 23. Geometric moment methods applied to optimal portfolio -- 24. Discrepancies between general integral means -- 25. Grθuss type inequalities using the Stieltjes integral -- 26. Chebyshev-Grθuss type and difference of integral means inequalities using the Stieltjes integral -- 27. An expansion formula -- 28. Integration by parts on the multidimensional domain -- Bibliography -- List of symbols.
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| 650 |
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|a Probabilities.
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| 710 |
2 |
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|a ebrary, Inc.
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| 856 |
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|u http://site.ebrary.com/lib/ucy/Doc?id=10422583
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| 952 |
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|a CY-NiOUC
|b 5a04601a6c5ad14ac1ee17ba
|c 998a
|d 945l
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