Аннотация:
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 sufficient conditions for the exponential tightness of a sequence of continuous random fields of arbitrary form, which are also obtained in this paper.
Ключевые слова:random field, Cramer's moment condition, large deviations principle, moderate deviations principle, exponential tightness.