Law of large numbers for discretely observed random functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365484" target="_blank" >RIV/00216208:11320/17:10365484 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S1226319217300261" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1226319217300261</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jkss.2017.04.002" target="_blank" >10.1016/j.jkss.2017.04.002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Law of large numbers for discretely observed random functions

Popis výsledku v původním jazyce

A strong law of large numbers for continuous random functions, and associated tensor product surfaces is established in the setup of discretely observed functional data. The result is shown in the framework of uniform convergence of functions, and stated without imposing any distributional assumptions. It is demonstrated that, under mild conditions, laws of large numbers for continuously observed functional data imply the corresponding laws under the discrete observational design of functions. Applications to the problem of estimation of expectation functions and covariance surfaces for discretely observed functional data are discussed.

Název v anglickém jazyce

Law of large numbers for discretely observed random functions

Popis výsledku anglicky

A strong law of large numbers for continuous random functions, and associated tensor product surfaces is established in the setup of discretely observed functional data. The result is shown in the framework of uniform convergence of functions, and stated without imposing any distributional assumptions. It is demonstrated that, under mild conditions, laws of large numbers for continuously observed functional data imply the corresponding laws under the discrete observational design of functions. Applications to the problem of estimation of expectation functions and covariance surfaces for discretely observed functional data are discussed.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10103 - Statistics and probability

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Journal of the Korean Statistical Society

ISSN

1226-3192

e-ISSN

—

Svazek periodika

2017

Číslo periodika v rámci svazku

46 (4)

Stát vydavatele periodika

KR - Korejská republika

Počet stran výsledku

11

Strana od-do

562-572

Kód UT WoS článku

000416613100006

EID výsledku v databázi Scopus

2-s2.0-85018408842