Infinite order V-statistics

Grace S. Shieh

Statistics & Probability Letters, 1994, vol. 20, issue 1, 75-80

Abstract: Infinite order V-statistics (IOVSs), an extension of V-statistics, are studied. Their L1 consistency and asymptotic normality are proved. A class of resampled V-statistics, a good proxy of the corresponding IOVSs when orders of kernels are large, is introduced to alleviate computational difficulties. Asymptotic properties of resampled V-statistics are also proved. Applicability of IOVSs are demonstrated by two examples.

Keywords: U-statistics; Asymptotic; normality; Renewal; function (search for similar items in EconPapers)
Date: 1994
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