Browsing by Subject "Multidimensionally indexed random variables"

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    • Article  

      Central limit theorem for dependent multidimensionally indexed random variables 

      Christofides, Tasos C.; Mavrikiou, P. M. (2003)
      We consider dependent multidimensionally indexed random variables whose dependence is determined by the distance of their indices. This provides a generalization of the well-known notion of m-dependence. For the partial ...
    • Article  

      U-statistics on a lattice of I.I.D. random variables 

      Christofides, Tasos C.; Serfling, R. (1998)
      Partial sums and sample means of r-dimensionally indexed arrays of independent random variables have been studied by Dunford (1951), Zygmund (1951), Kuelbs (1968), Wichura (1969), Smythe (1973), Gut (1978, 1992), Etemadi ...