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Wyszukujesz frazę "Zmyślony, Roman" wg kryterium: Autor

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    Wyświetlanie 1-6 z 6
    Tytuł:
    Robust m-estimator of parameters in variance components model
    Autorzy:
    Zmyślony, Roman
    Zontek, Stefan
    Powiązania:
    https://bibliotekanauki.pl/articles/729842.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Robust estimator
    maximum likelihood estimator
    statistical functional
    Fisher consistency
    Fréchet differentiability
    Opis:
    It is shown that a method of robust estimation in a two way crossed classification mixed model, recently proposed by Bednarski and Zontek (1996), can be extended to a more general case of variance components model with commutative a covariance matrices.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2002, 22, 1-2; 61-71
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Testing hypotheses about structure of parameters in models with block compound symmetric covariance structure
    Autorzy:
    Zmyślony, Roman
    Kozioł, Arkadiusz
    Powiązania:
    https://bibliotekanauki.pl/articles/1194457.pdf
    Data publikacji:
    2019-07-02
    Wydawca:
    Główny Urząd Statystyczny
    Tematy:
    coordinate-free approach
    Jordan algebra
    multivariate model
    block compound symmetric covariance structure
    best unbiased estimators
    testing structure of mean vector
    testing independence of block variables
    Opis:
    In this article we deal with testing the hypotheses of the so-called structured mean vector and the structure of a covariance matrix. For testing the above mentioned hypotheses Jordan algebra properties are used and tests based on best quadratic unbiased estimators (BQUE) are constructed. For convenience coordinate-free approach (see Kruskal (1968) and Drygas (1970)) is used as a tool for characterization of best unbiased estimators and testing hypotheses. To obtain the test for mean vector, linear function of mean vector with the standard inner product in null hypothesis is changed into equivalent hypothesis about some quadratic function of mean parameters (it is shown that both hypotheses are equivalent and testable). In both tests the idea of the positive and negative part of quadratic estimators is applied to get the test, statistics which have F distribution under the null hypothesis. Finally, power functions of the obtained tests are compared with other known tests like LRT or Roy test. For some set for parameters in the model the presented tests have greater power than the above mentioned tests. In the article we present new results of coordinate-free approach and an overview of existing results for estimation and testing hypotheses about BCS models.
    Źródło:
    Statistics in Transition new series; 2019, 20, 2; 139-153
    1234-7655
    Pojawia się w:
    Statistics in Transition new series
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Exact distribution for the generalized F tests
    Autorzy:
    Fonseca, Miguel
    Mexia, Joao
    Zmyślony, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/729860.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    exact distribution theory
    hypothesis testing
    generalized F distribution
    adaptative test
    Opis:
    Generalized F statistics are the quotients of convex combinations of central chi-squares divided by their degrees of freedom. Exact expressions are obtained for the distribution of these statistics when the degrees of freedom either in the numerator or in the denominator are even. An example is given to show how these expressions may be used to check the accuracy of Monte-Carlo methods in tabling these distributions. Moreover, when carrying out adaptative tests, these expressions enable us to estimate the p-values whenever they are available.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2002, 22, 1-2; 37-51
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Tests of independence of normal random variables with known and unknown variance ratio
    Autorzy:
    Gąsiorek, Edward
    Michalski, Andrzej
    Zmyślony, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/729874.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    mixed linear models
    variance components
    correlation
    quadratic unbiased estimation
    testing hypotheses
    confidence intervals
    Opis:
    In the paper, a new approach to construction test for independenceof two-dimensional normally distributed random vectors is given under the assumption that the ratio of the variances is known. This test is uniformly better than the t-Student test. A comparison of the power of these two tests is given. A behaviour of this test forsome ε-contamination of the original model is also shown. In the general case when the variance ratio is unknown, an adaptive test is presented. The equivalence between this test and the classical t-test for independence of normal variables is shown. Moreover, the confidence interval for correlation coefficient is given. The results follow from the unified theory of testing hypotheses both for fixed effects and variance components presented in papers [6] and [7].
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 233-247
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimators and tests for variance components in cross nested orthogonal designs
    Autorzy:
    Fonseca, Miguel
    Mexia, João
    Zmyślony, Roman
    Powiązania:
    https://bibliotekanauki.pl/articles/729794.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    hypothesis testing
    generalized F distribution
    adaptative test
    nested orthogonal designs
    Opis:
    Explicit expressions of UMVUE for variance components are obtained for a class of models that include balanced cross nested random models. These estimators are used to derive tests for the nullity of variance components. Besides the usual F tests, generalized F tests will be introduced. The separation between both types of tests will be based on a general theorem that holds even for mixed models. It is shown how to estimate the p-value of generalized F tests.
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2003, 23, 2; 175-201
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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