𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polynomial least squares fitting in the Bernstein basis

✍ Scribed by Ana Marco; José-Javier Martı´nez

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
176 KB
Volume
433
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Least squares fitting of the lognormal c
Least squares fitting of the lognormal curve
✍ Guus A.M. Hart; Hans Oosting; Nico Nagelkerke 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 398 KB

Problems arising in nonlinear least squares fitting of the first part of the lognormal curve to data are analysed. No evidence of the existence of multiple local minima of the sum of squares has been found. However, it is demonstrated that severe convergence problems might arise, especially ifthe da

Least-squares fitting from the variogram
Least-squares fitting from the variogram cloud
✍ Werner G. Müller 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Several authors have noticed poor ÿnite sample behavior of the most widely used parametric variogram estimator by Cressie (1985). This behavior is most notable in the case that ÿtting is done on the collection of squared di erences of observations from all point pairs, the so-called variogram cloud.

Robust weighting in least-squares fits
Robust weighting in least-squares fits
✍ James K.G. Watson 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 91 KB

Spectroscopic data sets often contain a significant number of outliers due to effects such as misassignments, trial assignments, or local perturbations. Standard fitting routines can be made robust to such outliers by the method of iteratively reweighted least squares. It is proposed here that the w

Lagrange and Least-Squares Polynomials a
Lagrange and Least-Squares Polynomials as Limits of Linear Combinations of Iterates of Bernstein and Durrmeyer Polynomials
✍ J.C. Sevy 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 139 KB

The linear combination of iterates \(1-\left(1-P_{n}\right)^{M}\) of Bernstein and Durrmeyer operators of a fixed degree \(n\) is considered for increasing order of iteration \(M\). The resulting sequence of polynomials is shown to converge to the Lagrange interpolating polynomial for the Bernstein