An adapted version of the element-wise weighted total least squares method for applications in chemometrics

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An adapted version of the element-wise weighted total least squares method for applications in chemometrics

The Maximum Likelihood PCA (MLPCA) method has been devised in chemometrics as a generalization of the well-known PCA method in order to derive consistent estimators in the presence of errors with known error distribution. For similar reasons, the Total Least Squares (TLS) method has been generalized in the field of computational mathematics and engineering to maintain consistency of the paramet...

متن کامل

The element-wise weighted total least-squares problem

A new technique is considered for parameter estimation in a linear measurement error model AX ≈ B, A=A0 + Ã, B=B0 + B̃, A0X0 =B0 with row-wise independent and non-identically distributed measurement errors Ã, B̃. Here, A0 and B0 are the true values of the measurements A and B, and X0 is the true value of the parameter X. The total least-squares method yields an inconsistent estimate of the parame...

متن کامل

Weighted total least squares formulated by standard least squares theory

This contribution presents a simple, attractive, and exible formulation for the weighted total least squares (WTLS) problem. It is simple because it is based on the well-known standard least squares theory; it is attractive because it allows one to directly use the existing body of knowledge of the least squares theory; and it is exible because it can be used to a broad eld of applications in t...

متن کامل

Calibration of Digital Amateur Cameras for Optical 3D Measurements With Element-Wise Weighted Total Least Squares (EW-WTLS) and Classical Least Squares: A Comparison

In order to improve the precision and accuracy of the calibration results, there are two general effects should be considered. One of them is the definition of the mathematical model of the calibration problem with respect to the physical nature of the problem, and the other one is the statistical model of the estimation of the calibration parameters. The estimation procedure is important for b...

متن کامل

An iterative solution of weighted total least-squares adjustment

Total least-squares (TLS) adjustment is used to estimate the parameters in the errors-in-variables (EIV) model. However, its exact solution is rather complicated, and the accuracies of estimated parameters are too difficult to analytically compute. Since the EIV model is essentially a non-linear model, it can be solved according to the theory of non-linear least-squares adjustment. In this cont...

متن کامل

ذخیره 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: Chemometrics and Intelligent Laboratory Systems

سال: 2007

ISSN: 0169-7439

DOI: 10.1016/j.chemolab.2006.04.003