Figure 1. Evolution of the shear elastic modulus of the stoichiometric 8-H:8-AA hydrogel. Fitting these data to Equation 1, the equilibrium modulus, G eq , is 30 kPa unswollen. After swelling, this value declines to ca. 10 kPa, which was previously reported. The data are the open squares and the fit is the solid line.

We present a method to perform a least squares fit of a decay chain involving multiple decay vertices. Our technique allows for the simultaneous extraction of decay time, position and momentum parameters and their uncertainties and correlations for all particles in a decay chain.

Methods are developed to establish the limits of statistical uncertainty for values computed from a pair distribution function (PDF) or models fit to a PDF. This is done by computation of a variance-covariance matrix for the PDF from the uncertainties in the diffraction intensities. The application of this variance-covariance matrix also offers optimal weighting for least-squares refinement.

The constrained least squares method is proposed as an algorithm for projecting stand tables through time. This method consists of three steps: (1) predict survival in each diameter class, (2) predict diameter growth, and (3) use the least squares approach to adjust the stand table to satisfy the constraints of future survival, average diameter and stand basal area. The new method was evaluated...

Optimal control problems with convex functions are ubiquitous in applications of stochastic optimization. However, when applied in this context, the classical least squares Monte Carlo methodology makes no attempt to take advantage of this special structure: Given the convexity of value functions, it seems reasonable to search for the best least-squares fit among the elements of a cone of conve...

Random coefficient regression models have received considerable attention, especially from econometricians. Previous work has assumed that the coefficients have normal distributions. The variances of the coefficients have, in previous papers, been estimated by maximum likelihood or by least squares methodology applied to the squared residuals from a preliminary (unweighted) fit. Maximum likelih...

ramand region is a part of qazvin province located in south west of buin-zahra. in this region, hydrothermal alterations have been extended within magmatic occurrences and therefore are mostly detectable by remote sensing techniques. altered facies could be well enhanced after applying selective principle component analysis (spca), least squares fitting method (ls-fit) and spectral angel mapper...

We develop and analyze a framework for two-stage methods with EB-splines, applicable to continuous and discrete approximation problems. In particular, we propose a weighted discrete least squares fit that yields optimal convergence rates for sufficiently dense data on Lipschitz domains in Rd.

This study provides a recursive parametric identification scheme for liquid-saturated steam heat exchanger system. The uses block-structured Wiener and Hammerstein models as model structure least squares estimation the parameter method. estimated block-oriented higher accuracy of than linear provided in literature. From simulation results, it is observed that can provide 88% goodness-of-FIT, wh...

The author investigates least squares as a method for fitting small circle models to a sample of unit vectors in IR. He highlights a local linear model underlying the estimation of the circle’s parameters. This model is used to construct an estimation algorithm and regression type inference procedures for the circle’s parameters. It makes it possible to compare the fit of a small circle with th...