Estimation of a quadratic function of the parameter of the mean in a linear model

Júlia Volaufová; Peter Volauf

Displaying similar documents to “Estimation of a quadratic function of the parameter of the mean in a linear model”

Estimation of variance components in mixed linear models

Júlia Volaufová, Viktor Witkovský (1992)

Applications of Mathematics

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The MINQUE of the linear function $\int^{'} ϑ$ of the unknown variance-components parameter $ϑ$ in mixed linear model under linear restrictions of the type $𝐑 ϑ = c$ is defined and derived. As an illustration of this estimator the example of the one-way classification model with the restrictions $ϑ_{1} = k ϑ_{2}$ , where $k \geq 0$ , is given.

Locally and uniformly best estimators in replicated regression model

Júlia Volaufová, Lubomír Kubáček (1983)

Aplikace matematiky

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The aim of the paper is to estimate a function $γ = t r (D β β^{'}) + t r (C \sum)$ (with $d, C$ known matrices) in a regression model $(Y, X β, \sum)$ with an unknown parameter $β$ and covariance matrix $\sum$ . Stochastically independent replications $Y_{1}, ..., Y_{m}$ of the stochastic vector $Y$ are considered, where the estimators of $X β$ and $\sum$ are $\bar{Y} = \frac{1}{m} \sum_{i = 1}^{m} Y_{i}$ and $\sum^{^} = {(m - 1)}^{- 1} \sum_{i = 1}^{m} (Y_{i} - \bar{Y}) {(Y_{i} - \bar{Y})}^{'}$ , respectively. Locally and uniformly best inbiased estimators of the function $γ$ , based on $\bar{Y}$ and $\sum^{^}$ , are given.

Estimation in connecting measurements with constraints of type II

Jaroslav Marek (2004)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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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 $𝐇^{*}$ -optimum estimators. The aim of the paper is to contribute to a numerical...