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A Positive Dependence Structure of Random Variables

Zheng Yaohui (Dept. of Math., Xiamen Univ.,Xiamen 361005)  
The association (A) and strongly positively orthant dependence (SPOD) for a set of random variables were investigated by Esary, et al.(1967) and Joag Dev (1983) respectively.The notion of strongly positive dependence (SPD) is introduced.The SPD condition is weaker than A and stonger than SPOD.Some results of A are generalized, and the basic properties of SPD are derived.Various equivalent conditions and characteristics of SPD are given.Furthermore, some inequalities of covariance functions are obtained. Finally, it has also been shown that every pairwise uncorrelated SPD random variables are mutually independent.
【CateGory Index】: TN929.5
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