J. A. Fill

activity

20002026

most citedLimiting distributions for additive functionals on Catalan trees

41 citations · 108 across the 25 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

math.PR2024

Convergence of the QuickVal Residual

James Allen Fill, Jason Matterer

QuickSelect (aka Find), introduced by Hoare (1961), is a randomized algorithm for selecting a specified order statistic from an input sequence of $n$ objects, or rather their ident…

math.PR2024

Sharpened localization of the trailing point of the Pareto record frontier

James Allen Fill, Daniel Naiman, Ao Sun

For $d \geq 2$ and iid $d$ -dimensional observations $X^{(1)}, X^{(2)}, \dots$ with independent Exponential $(1)$ coordinates, we revisit the study by Fill and Naiman (Electron. J. Probab…

math.PR2024

On the probability of a Pareto record

James Allen Fill, Ao Sun

Given a sequence of independent random vectors taking values in $R^{d}$ and having common continuous distribution function $F$ , say that the $n^{th}$ observ…