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Ranking Inferences Based on the Top Choice of Multiway Comparisons. (arXiv:2211.11957v1 [stat.ME])
Nov. 23, 2022, 2:13 a.m. | Jianqing Fan, Zhipeng Lou, Weichen Wang, Mengxin Yu
stat.ML updates on arXiv.org arxiv.org
This paper considers ranking inference of $n$ items based on the observed
data on the top choice among $M$ randomly selected items at each trial. This is
a useful modification of the Plackett-Luce model for $M$-way ranking with only
the top choice observed and is an extension of the celebrated
Bradley-Terry-Luce model that corresponds to $M=2$. Under a uniform sampling
scheme in which any $M$ distinguished items are selected for comparisons with
probability $p$ and the selected $M$ items are …
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