Strong stability of linear forms with identical distributed pairwise NQD random variables sequences

摘要

We study the strong stability of linear forms of pairwise negatively quadrant dependent (NQD) identically distributed random variables sequence under some suitable conditions. We get a new result of strong stability of linear forms by the truncation in random variables, Borel-Cantelli lemma, the properties of pairwise NQD random variables sequence, and the law of large numbers of pairwise NQD random variables sequence under some suitable conditions. The results obtained extend and improve the corresponding theorem for independent identically distributed random variables sequence.