1.

Record Nr.

UNINA9910818690703321

Autore

Mandrekar V.

Titolo

Weak convergence of stochastic processes : with applications to statistical limit theorems / / Vidyadhar S. Mandrekar

Pubbl/distr/stampa

Berlin, [Germany] : , : De Gruyter, , 2016

©2016

ISBN

3-11-047545-6

3-11-047631-2

Descrizione fisica

1 online resource (148 p.)

Collana

De Gruyter Textbook

Disciplina

519.2/3

Soggetti

Limit theorems (Probability theory)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Frontmatter -- Contents -- 1. Weak convergence of stochastic processes -- 2. Weak convergence in metric spaces -- 3. Weak convergence on C[0, 1] and D[0,∞) -- 4. Central limit theorem for semi-martingales and applications -- 5. Central limit theorems for dependent random variables -- 6. Empirical process -- Bibliography

Sommario/riassunto

The purpose of this book is to present results on the subject of weak convergence in function spaces to study invariance principles in statistical applications to dependent random variables, U-statistics, censor data analysis. Different techniques, formerly available only in a broad range of literature, are for the first time presented here in a self-contained fashion. Contents:Weak convergence of stochastic processesWeak convergence in metric spacesWeak convergence on C[0, 1] and D[0,∞)Central limit theorem for semi-martingales and applicationsCentral limit theorems for dependent random variablesEmpirical processBibliography