Asymptotics for Penalized Additive <i>B</i>-spline Regression
نویسندگان
چکیده
منابع مشابه
Asymptotics for penalized spline estimators in quantile regression
Quantile regression predicts the τ -quantile of the conditional distribution of a response variable given the explanatory variable for τ ∈ (0, 1). The aim of this paper is to establish the asymptotic distribution of the quantile estimator obtained by penalized spline method. A simulation and an exploration of real data are performed to validate our results.
متن کاملBootstrapping for Penalized Spline Regression∗†‡
We describe and contrast several different bootstrapping procedures for penalized spline smoothers. The bootstrapping procedures considered are variations on existing methods, developed under two different probabilistic frameworks. Under the first framework, penalized spline regression is considered an estimation technique to find an unknown smooth function. The smooth function is represented i...
متن کاملOn the asymptotics of penalized spline smoothing
Abstract: This paper performs an asymptotic analysis of penalized spline estimators. We compare P -splines and splines with a penalty of the type used with smoothing splines. The asymptotic rates of the supremum norm of the difference between these two estimators over compact subsets of the interior and over the entire interval are established. It is shown that a Pspline and a smoothing spline ...
متن کاملLocal Asymptotics for Polynomial Spline Regression
In this paper we develop a general theory of local asymptotics for least squares estimates over polynomial spline spaces in a regression problem. The polynomial spline spaces we consider include univariate splines, tensor product splines, and bivariate or multivariate splines on triangulations. We establish asymptotic normality of the estimate and study the magnitude of the bias due to spline a...
متن کاملA Non-iterative Optimization for Smoothness in Penalized Spline Regression
Typically, an optimal smoothing parameter in a penalized spline regression is determined by minimizing an information criterion, such as one of the Cp, CV and GCV criteria. Since an explicit solution to the minimization problem for an information criterion cannot be obtained, it is necessary to carry out an iterative procedure to search for the optimal smoothing parameter, i.e., a grid search m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: JOURNAL OF THE JAPAN STATISTICAL SOCIETY
سال: 2012
ISSN: 1348-6365,1882-2754
DOI: 10.14490/jjss.42.81