Eliminating transformations for nuisance parameters in linear model
Eliminating transformations for nuisance parameters in linear regression models with type I constraints
The linear regression model in which the vector of the first order parameter is divided into two parts: to the vector of the useful parameters and to the vector of the nuisance parameters is considered. The type I constraints are given on the useful parameters. We examine eliminating transformations which eliminate the nuisance parameters without loss of information on the useful parameters.
Elimination of nuisance parameters in a regression model
Equivalent algorithms for estimation in linear model with conditions
Estimación de registros desconocidos en series de datos.
Se dispone de dos o más series de datos, de las cuales al menos una no se conoce completamente. Se supone que las series se pueden modelizar con la hipótesis lineal; así como que existe alguna estructura de correlación entre ellas. Se desarrollan dos modelos para estimar los valores desconocidos de la(s) serie(s) de datos.
Estimating Regression Coefficients from Survey Data by Asymptotic Desingn-Cum-Model Based Approach.
Estimating the dimension of a linear model
Estimation and experimental design in a linear regression model using prior information
Estimation in a special structure of the linear model
Estimation in connecting measurements with constraints of type II
This paper is a continuation of the paper [6]. It dealt with parameter estimation in connecting two–stage measurements with constraints of type I. Unlike the paper [6], the current paper is concerned with a model with additional constraints of type II binding parameters of both stages. The article is devoted primarily to the computational aspects of algorithms published in [5] and its aim is to show the power of -optimum estimators. The aim of the paper is to contribute to a numerical solution...
Estimation in multiepoch regression models with different structures for studying recent crustal movements
Estimation in universal models with restrictions
In modelling a measurement experiment some singularities can occur even if the experiment is quite standard and simple. Such an experiment is described in the paper as a motivation example. It is presented in the papar how to solve these situations under special restrictions on model parameters. The estimability of model parameters is studied and unbiased estimators are given in explicit forms.
Estimation non paramétrique de la régression par la méthode du noyau : propriété de convergence asymptotiquememt normale indépendante
Estimation of a quadratic function of the parameter of the mean in a linear model
The paper deals with an optimal estimation of the quadratic function , where is a known matrix, in the model . The distribution of is assumed to be symmetric and to have a finite fourth moment. An explicit form of the best unbiased estimator is given for a special case of the matrix .
Estimation of a Regression Coefficient After two Preliminary Tests of Significance.
Estimation of dispersion in nonlinear regression models with constraints
Dispersion of measurement results is an important parameter that enables us not only to characterize not only accuracy of measurement but enables us also to construct confidence regions and to test statistical hypotheses. In nonlinear regression model the estimator of dispersion is influenced by a curvature of the manifold of the mean value of the observation vector. The aim of the paper is to find the way how to determine a tolerable level of this curvature.
Estimation of parameters of mean and variance in two-stage linear models
The paper deals with the estimation of unknown vector parameter of mean and scalar parameters of variance as well in two-stage linear model, which is a special type of mixed linear model. The necessary and sufficient condition for the existence of uniformly best unbiased estimator of parameter of means is given. The explicite formulas for these estimators and for the estimators of the parameters of variance as well are derived.
Estimation of polynomials in the regression model
Let be an -dimensional random vector which is distributed. A minimum variance unbiased estimator is given for provided is an unbiasedly estimable functional of an unknown -dimensional parameter .
Estimation of simple linear regression model using ranked set sampling.
Estimation of the first order parameters in the twoepoch linear model
The linear regression model, where the mean value parameters are divided into stable and nonstable part in each of both epochs of measurement, is considered in this paper. Then, equivalent formulas of the best linear unbiased estimators of this parameters in both epochs using partitioned matrix inverse are derived.