ON SOME APPLICABLE VERSIONS OF ABSTRACT LARGE DEVIATIONS THEOREMS
成果类型：
Article
署名作者：
IOFFE, D
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1176990226
发表日期：
1991
页码：
1629-1639
关键词：
摘要：
Two algorithms for calculating rate functions for a family of measures {mu-epsilon} on a B-space X are considered. The first one is a relaxed version of the Fenchel transform type theorem for convex rate functions. The second gives conditions under which {mu-epsilon} can be replaced by a more convenient family {mu-epsilon-x} near admissible points x is-an-element-of X such that rate functions for both families coincide near x. As an example, we apply both techniques to investigate large deviation properties of some reaction-diffusion equations with quick random noise.