A class of small deviation theorems for the sequences of nonnegative integer-valued random variables (Q1371047)

From MaRDI portal





scientific article; zbMATH DE number 1080269
Language Label Description Also known as
English
A class of small deviation theorems for the sequences of nonnegative integer-valued random variables
scientific article; zbMATH DE number 1080269

    Statements

    A class of small deviation theorems for the sequences of nonnegative integer-valued random variables (English)
    0 references
    0 references
    7 July 1998
    0 references
    By using the notion of likelihood ratio, some limit properties of the sequences of dependent nonnegative integer-valued random variables are studied, and a class of small deviation theorems are obtained. Besides, an approach of applying the tool of generating function together with the method of splitting intervals to the study of the strong laws is proposed in the proofs of the theorems in this paper.
    0 references
    0 references
    dependent nonnegative integer-valued random variables
    0 references
    limit properties
    0 references
    small deviation theorems
    0 references
    method of splitting intervals
    0 references

    Identifiers