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We formulate and prove in this report some sufficient conditions forexponential tightness (ET) of a family of independent identical distributed(i.i.d.) random fields (r.f.) (processes) in the space of continuous functionsdefined on certain metric compact set.  We will use the entropic method as well as too modern approach through themajorizing measures (generic chaining).

Sufficient conditions for exponential tightness of normed sums of independent random fields in the space of continuous functions