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Convergence in distribution of the P-P process in $L^1[0,1]$
[Submitted on 26 Jan 2026 (v1), last revised 9 Aug 2026 (this ve · 2026-01-26 · via stat updates on arXiv.org

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Abstract:We show that the percentile-percentile (P-P) process constructed from an independent and identically distributed sample of pairs converges in distribution in $L^1[0,1]$ if and only if the associated P-P curve is absolutely continuous. When this condition holds, the limiting distribution is Gaussian and the process admits a valid bootstrap approximation.

Submission history

From: Brendan Beare [view email]
[v1] Mon, 26 Jan 2026 11:49:59 UTC (11 KB)
[v2] Sun, 19 Apr 2026 00:58:42 UTC (11 KB)
[v3] Sat, 25 Apr 2026 02:29:02 UTC (12 KB)
[v4] Sun, 9 Aug 2026 23:39:42 UTC (14 KB)