We consider independent geometric distributed random variables which satisfy suitable hypotheses. We study large and moderate deviations for their empirical means, and we illustrate applications of the large deviation results for the weak record values of i.i.d. discrete random variables.

Macci, C., Pacchiarotti, B. (2015). Asymptotic results for empirical means of independent geometric distributed random variables. STOCHASTICS, 87(2), 308-325 [10.1080/17442508.2014.942307].

Asymptotic results for empirical means of independent geometric distributed random variables

MACCI, CLAUDIO;PACCHIAROTTI, BARBARA
2015-01-01

Abstract

We consider independent geometric distributed random variables which satisfy suitable hypotheses. We study large and moderate deviations for their empirical means, and we illustrate applications of the large deviation results for the weak record values of i.i.d. discrete random variables.
2015
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA
English
large deviations; moderate deviations; Gartner Ellis Theorem; exposed points; weak records
Macci, C., Pacchiarotti, B. (2015). Asymptotic results for empirical means of independent geometric distributed random variables. STOCHASTICS, 87(2), 308-325 [10.1080/17442508.2014.942307].
Macci, C; Pacchiarotti, B
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/110496
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