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A Reverse Submartingale Property of the Range

J. S. Huang, W. J. Huang

The Annals of Statistics · 1994 · Volume 22 · Issue 1

DOI: 10.1214/aos/1176325379

Abstract

If $R_n$ is the range from an exchangeable sequence of random variables, then $\{R_n/n\}$ forms a reverse submartingale sequence.

Keywords

60G09; 60G42; 62G30; 62G99; exchangeability; interarrival time; Renewal process; reverse submartingale; Sample range;

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