Author: Ronaldo DiasPublisher:
ISBN:
Category :
Languages : en
Pages : 238
Book Description
Density Estimation Via H-splines
Author: Ronaldo DiasDensity Estimation Using Spline Projection Kernels
Author: S.-Y. HuangHandbook of Splines
Author: Gheorghe MiculaPublisher: Springer Science & Business Media
ISBN: 9401153388
Category : Mathematics
Languages : en
Pages : 622
Book Description
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
Interpolating Spline Methods for Density Estimation
Author: Grace Goldsmith WahbaPublisher:
ISBN:
Category : Interpolation
Languages : en
Pages :
Book Description
Smoothing Spline ANOVA Models
Author: Chong GuPublisher: Springer Science & Business Media
ISBN: 1461453690
Category : Mathematics
Languages : en
Pages : 446
Book Description
Nonparametric function estimation with stochastic data, otherwise known as smoothing, has been studied by several generations of statisticians. Assisted by the ample computing power in today's servers, desktops, and laptops, smoothing methods have been finding their ways into everyday data analysis by practitioners. While scores of methods have proved successful for univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models are a versatile family of smoothing methods derived through roughness penalties, that are suitable for both univariate and multivariate problems. In this book, the author presents a treatise on penalty smoothing under a unified framework. Methods are developed for (i) regression with Gaussian and non-Gaussian responses as well as with censored lifetime data; (ii) density and conditional density estimation under a variety of sampling schemes; and (iii) hazard rate estimation with censored life time data and covariates. The unifying themes are the general penalized likelihood method and the construction of multivariate models with built-in ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing parameter selection, computation, and asymptotic convergence. Most of the computational and data analytical tools discussed in the book are implemented in R, an open-source platform for statistical computing and graphics. Suites of functions are embodied in the R package gss, and are illustrated throughout the book using simulated and real data examples. This monograph will be useful as a reference work for researchers in theoretical and applied statistics as well as for those in other related disciplines. It can also be used as a text for graduate level courses on the subject. Most of the materials are accessible to a second year graduate student with a good training in calculus and linear algebra and working knowledge in basic statistical inferences such as linear models and maximum likelihood estimates.
Smoothing Spline Density Estimation
Author: C. GuSmoothing Spline Density Estimation: Conditional Distribution
Author: C. GuInterpolating Spline Methods for Density Estimation I. Equi-Spaced Knots
Author: Grace WahbaPublisher:
ISBN:
Category :
Languages : en
Pages : 42
Book Description
Statistical properties of the histospline density estimate of Boneva-Kendall-Stefanov-Schoenberg are found. This density estimate is the derivative of a cubic spline of interpolation to the sample cumulative distribution at equally spaced points. The spacing of these points is chosen in an optimal manner. The boundary values of the spline are estimated from the data. It is shown that the mean square convergence rate of this density estimate at a point achieves the best obtainable rate. (Author).
Brazilian Journal of Probability and Statistics
Author: Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 454
Book Description
Handbook of Econometrics
Author: James J. HeckmanPublisher: Elsevier
ISBN: 0444534288
Category : Business & Economics
Languages : en
Pages : 1057
Book Description