Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A functional central limit theorem for positively dependent random fields

  • Tae Sung Kim (Department of Statistics, Won Kwang University, Iksan 570-749, Korea) ;
  • Eun Yang Seok (Department of Statistics, Won Kwang University, Iksan 570-749, Korea)
  • Published : 1996.01.01
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Abstract

In this note we prove a functional central limit theorem for linearly positive quadrant dependent(LPQD) random fields, satisfying some assumption on covariances and the moment condition $\sup_{n \in \Zeta^d} E$\mid$S_n$\mid$^{2+\rho} < \infty$ for some $\rho > 0$. We also apply this notion to random measures.

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