Autor: Gnot, Stanisław - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Quadratic estimation of variance components in linear models
Autorzy:: Gnot, Stanisław
Powiązania:: https://bibliotekanauki.pl/articles/748358.pdf
Data publikacji:: 1986
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Analysis of variance and covariance
Opis:: .
In the paper the theory of quadratic estimation of variance components in linear models and its applications are presented. In the presentation of the theory the coordinate-free approach is used. The applications concern estimation of variance components in general linear regression model and its special cases. The problem of admissibility of quadratic estimates in mixed linear models with two variance components is considered separately.
Źródło:: Mathematica Applicanda; 1986, 14, 27
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: An accurate test for testing the Hardy-Weinberg equilibrium hypothesis
Autorzy:: Gnot, Stanisław
Matej, Henryk
Szulga, Teofil
Powiązania:: https://bibliotekanauki.pl/articles/748793.pdf
Data publikacji:: 1979
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Genetics,Hypothesis testing
Opis:: Zbl 0465.62098; MR0549989
The paper includes uniformly most powerful unbiased test for a genetic model with two possible kinds of genes. This test is constructed on the basis of general theory of testing linear hypotheses for families of exponential distributions. An example of application for the system MN of blood-groups is given. Zbl 0465.62098; MR0549989
Źródło:: Mathematica Applicanda; 1979, 7, 15
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On some properties of ML and REML estimators in mixed normal models with two variance components
Autorzy:: Gnot, Stanisław
Michalski, Andrzej
Urbańska-Motyka, Agnieszka
Powiązania:: https://bibliotekanauki.pl/articles/729742.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: mixed linear models
likelihood-based inference
ML- and REML- estimation
variance components
Fisher's information
Opis:: In the paper, the problem of estimation of variance components σ₁² and σ₂² by using the ML-method and REML-method in a normal mixed linear model {Y,E(Y) = Xβ, Cov(Y) = σ₁²V + σ₂²Iₙ} is considered. This paper deal with properties of estimators of variance components, particularly when an explicit form of these estimators is unknown. The conditions when the ML and REML estimators can be expressed in explicit forms are given, too. The simulation study for one-way classification unbalanced random model together with a new proposition of approximation of expectation and variances of ML and REML estimators are shown. Numerical calculations with reference to the generalized Fisher's information are also given.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2004, 24, 1; 109-126
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

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