Tohoku Mathematical Journal
2009

June
SECOND SERIES VOL. 61, NO. 2

Tohoku Math. J.
61 (2009), 213-223

Title LARGE DEVIATIONS FOR RANDOM UPPER SEMICONTINUOUS FUNCTIONS

Author Yukio Ogura and Takayoshi Setokuchi

(Received April 9, 2008, revised November 11, 2008)
Abstract. In this paper, we shall study large deviation principle for random upper semicontinuous functions, and obtain Cramér type theorems for those whose underlying space is a separable Banach space of type $p$.

2000 Mathematics Subject Classification. Primary 60F10; Secondary 60D05, 03E72.

Key words and phrases. Random sets, random upper semicontinuous functions, large deviations.

To the top of this page

Back to the Contents