Marcinkiewicz strong laws for linear statistics
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Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong law under certain moment conditions on both the weights and the distribution. These complement the results of Cuzick (1995, J. Theoret. Probab. 8, 625-641) and Bai et al. (1997, Statist. Sinica, 923-928).
[1] Jack Cuzick,et al. A strong law for weighted sums of i.i.d. random variables , 1995 .
[2] Philip E. Cheng,et al. A note on strong convergence rates in nonparametric regression , 1995 .
[3] Magda Peligrad,et al. On the asymptotic normality of sequences of weak dependent random variables , 1996 .
[4] Philip E. Cheng,et al. An extension of the Hardy-Littlewood strong law , 1997 .