EXPONENTIAL TIGHTNESS FOR INTEGRAL-TYPE FUNCTIONALS OF CENTERED INDEPENDENT DIFFERENTLY DISTRIBUTED RANDOM VARIABLES
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA(2022)
摘要
Exponential tightness is proved for a sequence of integral - type random fields constructed by centered independent differently distributed random variables. This result is proven using suficient conditions for the exponential tightness of a sequence of continuous random fields of arbitrary form, which are also obtained in this paper.
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关键词
random field, Cramer's moment condition, large deviations principle, moderate deviations principle, exponential tightness
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