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Author:   M.A. Lifshits
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   322
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.480kg
ISBN:  

9780792333852

ISBN 10:   0792333853
Pages:   337
Publication Date:   28 February 1995
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Section 1. Gaussian distributions and random variables.- Section 2. Multi-dimensional Gaussian distributions.- Section 3. Covariances.- Section 4. Random functions.- Section 5. Examples of Gaussian random functions.- Section 6. Modelling the covariances.- Section 7. Oscillations.- Section 8. Infinite-dimensional Gaussian distributions.- Section 9. Linear functionals, admissible shifts, and the kernel.- Section 10. The most important Gaussian distributions.- Section 11. Convexity and the isoperimetric inequality.- Section 12. The large deviations principle.- Section 13. Exact asymptotics of large deviations.- Section 14. Metric entropy and the comparison principle.- Section 15. Continuity and boundedness.- Section 16. Majorizing measures.- Section 17. The functional law of the iterated logarithm.- Section 18. Small deviations.- Section 19. Several open problems.- Comments.- References.- List of Basic Notations.

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