Results 31 to 40 of about 2,308,308 (297)

Total Least-Squares Collocation: An Optimal Estimation Technique for the EIV-Model with Prior Information

open access: yesMathematics, 2020
In regression analysis, oftentimes a linear (or linearized) Gauss-Markov Model (GMM) is used to describe the relationship between certain unknown parameters and measurements taken to learn about them.
Burkhard Schaffrin
doaj   +1 more source

Practical Consequences of the Bias in the Laplace Approximation to Marginal Likelihood for Hierarchical Models

open access: yesEntropy
Due to the high dimensional integration over latent variables, computing marginal likelihood and posterior distributions for the parameters of a general hierarchical model is a difficult task.
Subhash R. Lele   +2 more
doaj   +1 more source

Asymptotic normality and mean consistency of LS estimators in the errors-in-variables model with dependent errors

open access: yesOpen Mathematics, 2020
In this article, an errors-in-variables regression model in which the errors are negatively superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type strong law of large numbers for NSD random variables is established. Then,
Zhang Yu   +3 more
doaj   +1 more source

Nonparametric Regression with Errors in Variables

open access: yesThe Annals of Statistics, 1993
The effect of errors in variables in nonparametric regression estimation is examined. To account for errors in covariates, deconvolution is involved in the construction of a new class of kernel estimators. It is shown that optimal local and global rates of convergence of these kernel estimators can be characterized by the tail behavior of the ...
Fan, Jianqing, Truong, Young K.
openaire   +2 more sources

Adaptive wavelet multivariate regression with errors in variables

open access: yes, 2016
In the multidimensional setting, we consider the errors-in-variables model. We aim at estimating the unknown nonparametric multivariate regression function with errors in the covariates.
Chichignoud, Michaël   +3 more
core   +1 more source

Improved maximum likelihood estimators in a heteroskedastic errors-in-variables model

open access: yes, 2011
This paper develops a bias correction scheme for a multivariate heteroskedastic errors-in-variables model. The applicability of this model is justified in areas such as astrophysics, epidemiology and analytical chemistry, where the variables are subject ...
Alexandre G. Patriota   +14 more
core   +2 more sources

Some Recent Advances in Measurement Error Models and Methods [PDF]

open access: yes, 2005
A measurement error model is a regression model with (substantial) measurement errors in the variables. Disregarding these measurement errors in estimating the regression parameters results in asymptotically biased estimators.
Augustin, Thomas, Schneeweiß, Hans
core   +3 more sources

The Case of the Homogeneous Errors-In-Variables Model

open access: yesJournal of Geodetic Science, 2014
Recently, it has been claimed that the HomogeneousErrors-In-Variables (HEIV) Model, where the lefthandside (LHS) vector is allowed to be multiplied withan unknown scale factor, would represent a generalizationof the regular EIV-Model for which a number ...
Schaffrin B., Snow K.
doaj   +1 more source

A Non-Iterative Approach to Direct Data-Driven Control Design of MIMO LTI Systems

open access: yesIEEE Access, 2023
This paper proposes a non-iterative direct data-driven technique that deals with linear time-invariant (LTI) controller design by directly identifying the controller from input-output data without using plant identification.
Mohammad Abuabiah   +3 more
doaj   +1 more source

Least squares regression with errors in both variables: case studies

open access: yesQuímica Nova, 2013
Analytical curves are normally obtained from discrete data by least squares regression. The least squares regression of data involving significant error in both x and y values should not be implemented by ordinary least squares (OLS).
Elcio Cruz de Oliveira   +1 more
doaj   +1 more source

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