Marcinkiewicz strong laws for linear statistics

Z. D. Bai and Philip E. Cheng

Statistics & Probability Letters, 2000, vol. 46, issue 2, 105-112

Abstract: 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).

Keywords: Hardy-Littlewood; strong; law; Marcinkiewicz-Zygmund; strong; law; Weighted; sums; of; i.i.d.; random; variables (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (11)

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