Mathematical Foundations Of Infinite Dimensional Statistical Models

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Mathematical Foundations of Infinite-Dimensional Statistical Models

This book develops the theory of statistical inference in statistical models with an infinite-dimensional parameter space, including mathematical foundations and key decision-theoretic principles.
Analysis of Multivariate and High-Dimensional Data

This modern approach integrates classical and contemporary methods, fusing theory and practice and bridging the gap to statistical learning.
Probability with Martingales

Author: David Williams
language: en
Publisher: Cambridge University Press
Release Date: 1991-02-14
This is a masterly introduction to the modern, and rigorous, theory of probability. The author emphasises martingales and develops all the necessary measure theory.