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Hilbert Space Methods in Probability and Statistical Inference

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ISBN-10: 0471592811

ISBN-13: 9780471592815

Edition: 1994

Authors: Christopher G. Small, Don L. McLeish

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Explains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.
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Book details

Copyright year: 1994
Publisher: John Wiley & Sons, Incorporated
Publication date: 4/1/1994
Binding: Hardcover
Pages: 270
Size: 6.50" wide x 9.75" long x 0.75" tall
Weight: 1.188
Language: English

Christopher G. Small is a professor in the Department of Statistics and Actuarial Science at the University of Waterloo in Ontario, Canada.

Hilbert Spaces
Probability Theory
Estimating Functions
Orthogonality and Nuisance Parameters
Martingale Estimating Functions and Projected Likelihood
Stochastic Integration and Product Integrals
Estimating Functions and the Product Integral Likelihood for Continuous Time Stochastic Processes
Hilbert Spaces and Spline Density Estimation