D 2017

Random Functional Variable and Fourier Series

ZELINKA, Jiří

Basic information

Original name

Random Functional Variable and Fourier Series

Name in Czech

Funkcionální náhodná veličina a Fourierovy řady

Authors

ZELINKA, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

Cham, SWITZERLAND, Functional Statistics and Related Fields, p. 279-286, 8 pp. 2017

Publisher

Springer International Publishing

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10103 Statistics and probability

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

References:

RIV identification code

RIV/00216224:14310/17:00095354

Organization unit

Faculty of Science

ISBN

978-3-319-55845-5

ISSN

UT WoS

000426342800036

Keywords (in Czech)

funkcionální náhodná veličina; Fourierovy řady; normální rozložení

Keywords in English

random functional variable; Fourier series; normal distribution

Tags

Tags

International impact, Reviewed
Změněno: 24/3/2018 15:11, Ing. Nicole Zrilić

Abstract

V originále

This paper presents how a functional random variable can be expressed in the form of Fourier series. This expansion can be used for the definition of components of the functional random variable and for the approximation of the random curves as the partial sum of the Fourier series. Thus we can estimate the distribution of the components, simulate the functional random variable with given components and compute some characteristics of the distribution of its norm.

Links

GA15-06991S, research and development project
Name: Analýza funkcionálních dat a související témata
Investor: Czech Science Foundation