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44 articles for “least squares method”
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Research ArticleOpen accessIn the abstractEstimation Methods for Multicollinearity Proplem Combined with High Leverage Data PointsMoawad El-Fallah, Abd El-SallamProblem statement: Least Squares (LS) method has been the most popular method for estimating the parameters of a model due to its optimal properties and ease of computation. LS estimated regression may be seriously affected by multicollinearity which is a near linear dependency between two or more explanatory variables in the regression models. Although LS estimates are unbiased in the … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,624 accessesView PDFCite
Research ArticleOpen accessIn the abstractSpline Estimator in Multi-Response Nonparametric Regression Model with Unequal Correlation of ErrorsBudi Lestari, I. Nyoman Budiantara, Sony Sunaryo, Muhammad MashuriProblem statement: In many applications two or more dependent variables are observed at several values of the independent variables, such as at time points. The statistical problems are to estimate functions that model their dependences on the independent variables and to investigate relationships between these functions. Nonparametric regression model, especially smoothing splines provide powerful tools to model the functions which … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,173 accessesView PDFCite
Research ArticleOpen accessIn the abstractRobust Estimations as a Remedy for Multicollinearity Caused by Multiple High Leverage PointsArezoo Bagheri, Habshah MidiProblem statement: The Least Squares (LS) method has been the most popular technique for estimating the parameters of a model due to its optimal properties and ease of computation. LS estimated regression may be seriously disturbed by multicollinearity which is a near linear dependency between two or more explanatory variables in the regression models. Even though LS estimates are unbiased … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 8,251 accessesView PDFCite
Research ArticleOpen accessIn the abstractLinear Regression Model Selection Based on Robust Bootstrapping TechniqueHassan S. Uraibi, Habshah Midi, Bashar A. Talib, Jabar H. YousifProblem statement: Bootstrap approach had introduced new advancement in modeling and model evaluation. It was a computer intensive method that can replace theoretical formulation with extensive use of computer. The Ordinary Least Squares (OLS) method often used to estimate the parameters of the regression models in the bootstrap procedure. Unfortunately, many statistics practitioners are not aware of the fact that … …American Journal of Applied Sciences, Vol. 6, Issue 6 · 30 Jun 2009 · 7,880 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Performance of Latent Root-M based RegressionHabshah Midi, Lau Ung HuaProblem statement: In the presence of multicollinearity, the estimation of parameters in multiple linear regression models by means of Ordinary Least Squares (OLS) is known to suffer severe distortion. An alternative approach was to use the modified OLS which was based on the latent roots and latent vectors of the correlation matrix of the independent and dependent variables. This procedure … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 8,657 accessesView PDFCite
Research ArticleOpen accessIn the abstractDetermination of Ibuprofen and Paracetamol in Binary Mixture Using Chemometric-Assisted Spectrophotometric MethodsWafaa S. HassanThree methods are presented for simultaneous determination of ibuprofen and paracetamol without previous separation. The first method depends on first derivative UV spectrophotometry, with zero-crossing measurement. The first derivative amplitudes at 230 and 290 nm were selected for the assay of ibuprofen and paracetamol, respectively. The second method depends on first derivative of the ratio-spectra by measurements of the amplitudes … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 8,205 accessesView PDFCite
Research ArticleOpen accessIn the abstractAutomatic Calibration of Frequency Compensation System in Computer-Controlled Patch-Clamp AmplifierJun Xiong, Gang Hu, Anlian QuComputer-controlled patch-clamp amplifier is a digitally controlled analog device used to record the cellular ion channel currents in electrophysiology research. The inherent bandwidth and performance of the headstage is limited by the stray capacitance and distributed capacitance across the feedback resistors. In order to effectively improve the performance of the headstage, the paper advanced a simplified automatic calibration method of … …Journal of Computer Science, Vol. 3, Issue 10 · 31 Oct 2007 · 6,818 accessesView PDFCite
Research ArticleOpen accessIn the abstractDetermination of Metoprolol and Felodipine in Binary Mixture Using Chemometric-Assisted Spectrophotometric and High-Performance Liquid Chromatographic-UV MethodsHesham Salem, Ola M. AbdallahFour methods were developed for simultaneous determination of metoprolol and felodipine without previous separation. In the first method both drugs were determined using first derivative UV spectrophotometry, with zero crossing measurement at 222 and 235 nm for metoprolol and felodipine, respectively. The second method depends on first derivative of the ratios spectra by measurements of the amplitudes at 250.1 nm … …American Journal of Applied Sciences, Vol. 4, Issue 9 · 30 Sep 2007 · 8,028 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Overview of Modified Shanks’ Conjecture and Comments on its ValidityN. Gangatharan, T.C. ChuahThis study reports the validity of the modified Shanks’ conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. A theoretical procedure proposed based on the Lagrange multiplier method of mathematical optimization. The results indicate that the modified Shanks’ conjecture reported by Jury was valid for special classes of 2-D polynomials. …American Journal of Applied Sciences, Vol. 4, Issue 4 · 30 Apr 2007 · 7,041 accessesView PDFCite
Research ArticleOpen accessIn the abstractDamping of Generator Oscillations Using an Adaptive UPFC-based ControllerD. Nazarpour, S. H. Hosseini, G. B. GharehpetianIn this study a UPFC-based non-linear adaptive controller is proposed and designed to damp generator oscillations. The adaptive controller design is based on determination of control signal using a new linear quadratic pole placement control law and identification of power system parameters with recursive least squares method with adaptive directional forgetting factor. A new model of UPFC has been introduced … …American Journal of Applied Sciences, Vol. 3, Issue 1 · 31 Jan 2006 · 6,766 accessesView PDFCite