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A class of multivariate distributions related to distributions with a Gaussian component

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10051760" target="_blank" >RIV/00216208:11320/10:10051760 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A class of multivariate distributions related to distributions with a Gaussian component

  • Original language description

    : A class of random vectors (X, Y), X ? Rj , Y ? Rk with characteristic functions of the form h(s, t) = f(s)g(t) exp{s_Ct} where C is a (j x k)-matrix and prime stands for transposition is introduced and studied. The class contains all Gaussian vectors and possesses some of their properties. A relation of the class to random vectors with Gaussian components is of a particular interest. The problem of describing all pairs of characteristic functions f(s), g(t) such that h(s, t) is a characteristic function is open.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA101120801" target="_blank" >IAA101120801: Invariance and equivariance in statistical estimation</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Nonparametrics and Robustness in Modern Statistical Inference and Time Series

  • ISBN

    978-0-940600-80-5

  • Number of pages of the result

    8

  • Pages from-to

  • Number of pages of the book

    268

  • Publisher name

    Institute of Mathematical Statistics

  • Place of publication

    Beachwood, Ohio, USA

  • UT code for WoS chapter