The locally best estimators of the first and second order parameters in epoch regression models
The Locally MIMSQE of Nonnormal Error Variance in Quadratically Balanced Models.
The multiple regression model where independent variables are measured unprecisely.
The Occurrence of Outliers in the Explanatory Variable Considered in an Errors-in-Variables Framework.
The Stepwise Regression Algorithm Seen from the Statistician's Point of View
The two-dimensional linear relation in the errors-in-variables model with replication of one variable
We present a two-dimensional linear regression model where both variables are subject to error. We discuss a model where one variable of each pair of observables is repeated. We suggest two methods to construct consistent estimators: the maximum likelihood method and the method which applies variance components theory. We study asymptotic properties of these estimators. We prove that the asymptotic variances of the estimators of regression slopes for both methods are comparable.
The Type A Uncertainty
If in the model of measurement except useful parameters, which are to be determined, other auxiliary parameters occur as well, which were estimated from another experiment, then the type A and B uncertainties of measurement results must be taken into account. The type A uncertainty is caused by the new experiment and the type B uncertainty characterizes an accuracy of the parameters which must be used in estimation of useful parameters. The problem is to estimate of the type A uncertainty in the...
The unreplicated complex linear functional relationship model and its application.
Trimmed Estimators in Regression Framework
From the practical point of view the regression analysis and its Least Squares method is clearly one of the most used techniques of statistics. Unfortunately, if there is some problem present in the data (for example contamination), classical methods are not longer suitable. A lot of methods have been proposed to overcome these problematic situations. In this contribution we focus on special kind of methods based on trimming. There exist several approaches which use trimming off part of the observations,...
Trimmed polynomial regression
Two different however equivalent methods for derivation of estimators of parameters in deformation measurements
The aim of this paper is to develop two different methods for an executing of the deformation measurement and to prove that these two methods are equivalent which is a advantage for a conclusive verification of the results of the experiment in a practice.
Two stage linear model with constraints
Two-sided Tolerance Intervals in a Simple Linear Regression
Numerical results for a simple linear regression indicate that the non-simultaneous two-sided tolerance intervals nearly satisfy the condition of multiple-use confidence intervals, see Lee and Mathew (2002), but the numerical computation of the limits of the multiple-use confidence intervals is needed. We modified the Lieberman–Miller method (1963) for computing the simultaneous two-sided tolerance intervals in a simple linear regression with independent normally distributed errors. The suggested...
Two-stage regression model