Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A FUNCTIONAL CENTRAL LIMIT THEOREM FOR POSITIVELY DEPENDENT SEQUENCES

  • KIM, TAE-SUNG (Dept. of Statistics., Won Kwang University) ;
  • KIM, HYUN-CHULL (Dept. of Mathematics, Daebul lnstitute of Science and Technology)
  • Received : 1994.05.03
  • Published : 1994.07.01
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Abstract

In this note we prove a functional central. limit theorem for LPQD sequences, statisfying some moment conditions. No stationarity is required. Our results imply an extension of Birkel's functional central limit theorem for associated processt'S to an LPQD sequence and an improvement of Birkel's functional central limit theorem for LPQD sequences.

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