Mathematical Foundations of Infinite-Dimensional Statistical Models

DOI10.1017/CBO9781107337862zbMath1358.62014OpenAlexW2344998188MaRDI QIDQ3459234

Publication date: 21 December 2015

Full work available at URL: https://doi.org/10.1017/cbo9781107337862

wavelets empirical processes Bayesian nonparametrics nonparametrics nonparametric maximum likelihood estimation convolution kernel and projection estimation minimax paradigm of decision theory

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Gaussian processes (60G15) Asymptotic properties of nonparametric inference (62G20) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) Bayesian problems; characterization of Bayes procedures (62C10) Minimax procedures in statistical decision theory (62C20) History of mathematics in the 20th century (01A60) Research exposition (monographs, survey articles) pertaining to statistics (62-02) History of statistics (62-03) Empirical decision procedures; empirical Bayes procedures (62C12) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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