Chapter: Examples of Gaussian Random Functions

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Gaussian Random Functions |

M.A. Lifshits

Springer Netherlands

Examples of Gaussian Random Functions

Chapter Info

Authors

M. A. Lifshits

ARI Id

1665064100631_4673962

Access

Not Available Free

Pages

30-40

DOI

10.1007/978-94-015-8474-6_5

Chapter URL

https://rd.springer.com/chapter/10.1007/978-94-015-8474-6_5

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		i-xi
Gaussian Distributions and Random Variables	M. A. Lifshits	1-7
Multi-Dimensional Gaussian Distributions	M. A. Lifshits	8-15
Covariances	M. A. Lifshits	16-21
Random Functions	M. A. Lifshits	22-29
Examples of Gaussian Random Functions	M. A. Lifshits	30-40
Modelling the Covariances	M. A. Lifshits	41-52
Oscillations	M. A. Lifshits	53-67
Infinite-Dimensional Gaussian Distributions	M. A. Lifshits	68-83
Linear Functionals, Admissible Shifts, and the Kernel	M. A. Lifshits	84-100
The Most Important Gaussian Distributions	M. A. Lifshits	101-107
Convexity and the Isoperimetric Property	M. A. Lifshits	108-138
The Large Deviations Principle	M. A. Lifshits	139-155
Exact Asymptotics of Large Deviations	M. A. Lifshits	156-176
Metric Entropy and the Comparison Principle	M. A. Lifshits	177-210
Continuity and Boundedness	M. A. Lifshits	211-229
Majorizing Measures	M. A. Lifshits	230-245
The Functional Law of the Iterated Logarithm	M. A. Lifshits	246-257
Small Deviations	M. A. Lifshits	258-275
Several Open Problems	M. A. Lifshits	276-281
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