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169 pages

Spline Models for Observational Data

Creator: Grace Wahba | Mathematical statistics - 1990

This book serves well as an introduction into the more theoretical aspects of the use of spline models.

Publisher: SIAM

About this book
This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. The estimate is a polynomial smoothing spline. By placing this smoothing problem in the setting of reproducing kernel Hilbert spaces, a theory is developed which includes univariate smoothing splines, thin plate splines in d dimensions, splines on the sphere, additive splines, and interaction splines in a single framework. A straightforward generalization allows the theory to encompass the very important area of (Tikhonov) regularization methods for ill-posed inverse problems. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a wide variety of problems which fall within this framework. Methods for including side conditions and other prior information in solving ill-posed inverse problems are included. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.



336 pages

Men Out of Uniform, Three Novellas of Erotic Surrender

Creator: Sylvia Day, Maya Banks, Karin Tabke | Fiction - 2011-10-04

In this searingly sexy anthology, popular authors Maya Banks, Sylvia Day, and Karin Tabke present men in uniform-unzipped.

Publisher: Penguin

About this book
The hottest thing about a man in uniform is imagining him out of it... They may enforce the rules, but when men in uniform are off duty and under the covers, they're experts at breaking them. In this searingly sexy anthology, popular authors Maya Banks, Sylvia Day, and Karin Tabke present men in uniform-unzipped...



564 pages

Non-linear Time Series, A Dynamical System Approach

Creator: Howell Tong | Mathematics - 1993

This book, now available in paperback, is an introduction to some of these developments and the present state of research.

Publisher: Oxford University Press

About this book
The analysis of time series data has for many years been a central component of statistical research and practice. Although the theory of linear time series is now well established, that of non-linear time series is still a rapidly developing subject. This book, now available in paperback, is an introduction to some of these developments and the present state of research.


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