Isbn: 9781107043169 - mathematical foundations of infinite-dimensional statistical models (cambridge series in statistical and probabilistic mathematics, 39, band 39) (4 Ergebnisse)

Zustand: New. In English.

Hardcover. Zustand: Brand New. 1st edition. 720 pages. 10.37x7.04x1.71 inches. In Stock.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In nonparametric and high-dimensional statistical models, the classical Gauss-Fisher-Le Cam theory of the optimality of maximum likelihood estimators and Bayesian posterior inference does not apply, and new foundations and ideas have been developed in the past several decades. This book gives a coherent account of the statistical theory in infinite-dimensional parameter spaces. The mathematical foundations include self-contained 'mini-courses' on the theory of Gaussian and empirical processes, on approximation and wavelet theory, and on the basic theory of function spaces. The theory of statistical inference in such models - hypothesis testing, estimation and confidence sets - is then presented within the minimax paradigm of decision theory. This includes the basic theory of convolution kernel and projection estimation, but also Bayesian nonparametrics and nonparametric maximum likelihood estimation. In the final chapter, the theory of adaptive inference in nonparametric models is developed, including Lepski's method, wavelet thresholding, and adaptive inference for self-similar functions.…

Zustand: New. 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. Series: Cambridge Series in Statistical and Probabilistic Mathematics. Num Pages: 720 pages. BIC Classification: KCH; PBT; PBWH. Category: (P) Professional & Vocational. Dimension: 253 x 177. . . 2015. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.…