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Journal ArticleDOI

Smoothing by spline functions. II

C. Reinsch
- 01 Oct 1967 - 
- Vol. 10, Iss: 3, pp 177-183
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TLDR
In this paper, the authors generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence, which is the same as in this paper.
Abstract
In this paper we generalize the results of [4] and modify the algorithm presented there to obtain a better rate of convergence.

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Citations
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Journal ArticleDOI

Generalized Additive Models.

Journal ArticleDOI

Extended 14C Data Base and Revised Calib 3.0 14C Age Calibration Program

Minze Stuiver, +1 more
- 01 Jan 1993 - 
TL;DR: The age calibration program, CALIB (Stuiver & Reimer 1986), first made available in 1986 and subsequently modified in 1987 (revision 2.0 and 2.1), has been amended anew as mentioned in this paper.
OtherDOI

Generalized Additive Models

TL;DR: The generalized additive model (GA) as discussed by the authors is a generalization of the generalized linear model, which replaces the linear model with a sum of smooth functions in an iterative procedure called local scoring algorithm.
Journal ArticleDOI

Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting

TL;DR: Locally weighted regression as discussed by the authors is a way of estimating a regression surface through a multivariate smoothing procedure, fitting a function of the independent variables locally and in a moving fashion analogous to how a moving average is computed for a time series.
Journal ArticleDOI

INTCAL98 Radiocarbon Age Calibration, 24,000-0 cal BP

TL;DR: In this paper, the conversion of radiocarbon ages to calibrated (cal) ages for the interval 24,000-0 cal BP (Before Present, 0 cal BP = AD 1950) is discussed.
References
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Book ChapterDOI

On Pólya frequency functions IV: The fundamental spline functions and their limits

TL;DR: The present paper was written in 1945 and completed by 1947 (see the abstract [3]) but for no good reason has so far not been published as discussed by the authors, but it appears now in a somewhat revised and improved form.
Journal ArticleDOI

Spline functions and the problem of graduation.

TL;DR: The aim of this note is to extend some of the recent work on spline interpolation so as to include also a solution of the problem of graduation of data and the qualitative aspects of the new method are described.
Journal ArticleDOI

A general method for the construction of interpolating or smoothing spline-functions

TL;DR: In this article, new and efficient derivations of the general existence and uniqueness theorems are given, plus a constructive procedure for obtaining the desired approximations, and several practical examples illustrate the methods.
Book ChapterDOI

On Interpolation by Spline Functions and its Minimal Properties

TL;DR: The spline functions used in this paper have equidistant knots and were suggested by the work of T.E. Greville and other actuarial writers on the subject of osculatory interpolation.