A Note on the Large Deviation Principle for Discrete Associated Random Variables. (6th January 2015)

• Record Type: Journal Article
• Authors: Matuła, Przemysław; Ziemba, Maciej
• Other Names: Kim Tae-Sung Academic Editor.
• Is Part Of: Journal of probability. Volume 2015(2015)
• Publication Date: 2015-01-06
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519.2
• DOI: 10.1155/2015/430837
• Languages: English
• ISSNs: 2356-7589

Abstract

Abstract : We present sufficient conditions under which the sequence of arithmetic means S n / n, where S n = X 1 + ⋯ + X n, is the partial sum built on a stationary sequence { X n } n ≥ 1 of associated integer-valued and uniformly bounded random variables, which satisfy the large deviation principle.