1.

Record Nr.

UNISA990005834960203316

Autore

MORRA, Gianfranco

Titolo

Il discorso religioso, oggi / Gianfranco Morra

Pubbl/distr/stampa

Udine, : Scuola cattolica di cultura, [1974?]

Descrizione fisica

20 p. ; 25 cm

Collana

Quaderni di cultura ; 3

Disciplina

238

Collocazione

XV.8. 1626

Lingua di pubblicazione

Italiano

Formato

Materiale a stampa

Livello bibliografico

Monografia

2.

Record Nr.

UNINA9910299777703321

Autore

Häusler Erich

Titolo

Stable Convergence and Stable Limit Theorems / / by Erich Häusler, Harald Luschgy

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015

ISBN

3-319-18329-X

Edizione

[1st ed. 2015.]

Descrizione fisica

1 online resource (231 p.)

Collana

Probability Theory and Stochastic Modelling, , 2199-3149 ; ; 74

Disciplina

519.2

Soggetti

Probabilities

Statistics

Probability Theory

Statistical Theory and Methods

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 and index.

Nota di contenuto

Preface -- 1.Weak Convergence of Markov Kernels -- 2.Stable Convergence -- 3.Applications -- 4.Stability of Limit Theorems -- 5.



Stable Martingale Central Limit Theorems -- 6.Stable Functional Martingale Central Limit Theorems -- 7.A Stable Limit Theorem with Exponential Rate -- 8.Autoregression of Order One -- 9.Branching Processes -- A. Appendix -- B. Appendix -- Bibliography.

Sommario/riassunto

The authors present a concise but complete exposition of the mathematical theory of stable convergence and give various applications in different areas of probability theory and mathematical statistics to illustrate the usefulness of this concept. Stable convergence holds in many limit theorems of probability theory and statistics – such as the classical central limit theorem – which are usually formulated in terms of convergence in distribution. Originated by Alfred Rényi, the notion of stable convergence is stronger than the classical weak convergence of probability measures. A variety of methods is described which can be used to establish this stronger stable convergence in many limit theorems which were originally formulated only in terms of weak convergence. Naturally, these stronger limit theorems have new and stronger consequences which should not be missed by neglecting the notion of stable convergence. The presentation will be accessible to researchers and advanced students atthe master's level with a solid knowledge of measure theoretic probability.