ASYMPTOTIC BEHAVIOR OF L-STATISTICS
FOR A LARGE CLASS OF TIME SERIES

MADAN L. PURI1 AND FRITS H. RUYMGAART2

1 Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.
2 Department of Mathematics, Texas Tech University, Lubbock, TX 79409-1042, U.S.A.

(Received December 5, 1991; revised November 12, 1992)

Abstract.    In this paper we derive the asymptotic normality of L-statistics with unbounded scores for a large class of time series. To handle the dependence structure, we use the concept of m(n)-decomposability as an alternative to classical mixing concepts.

Key words and phrases:    Decomposable processes, mixing, empirical processes for decomposable samples, L-statistics.

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