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An Introduction to Permutation Processes (version 0.5)

Fang Han

arXiv 12 Jul 2024 · Mathematics — Statistics Theory

arXiv:2407.09664 · PDF · DOI · OpenAlex · Extracted main text

Abstract

These lecture notes were prepared for a special topics course in the Department of Statistics at the University of Washington, Seattle. They comprise the first eight chapters of a book currently in progress.

Citation extraction

174
references
291
in-text mentions
174
distinct cited
6
self-citations
24,682
main-text words

appendix boundary found by appendix_titled_section at “Appendix” · 39% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chen, L. H., Goldstein, L., and Shao, Q.-M (2010) Normal Approximation by Stein's Method1.00053100%
2Chatterjee, S (2005) Concentration Inequalities with Exchangeable Pairs0.84333100%
3Hájek, J (1981) Sampling from a Finite Population, volume 370.84333100%
4Hoeffding, W (1963) Probability inequalities for sums of bounded random variables0.84333100%
5Kosorok, M. R (2008) Introduction to Empirical Processes and Semiparametric Inference0.7948350%
6Hoeffding, W (1951) A combinatorial central limit theorem0.73732100%
7van der Vaart, A. W (2000) Asymptotic Statistics, volume 30.7218438%
8Giné, E. and Nickl, R (2015) Mathematical Foundations of Infinite-dimensional Statistical Models0.69312533%
9Vershynin, R (2018) High-dimensional Probability0.6444250%
10Ben-Hamou, A., Peres, Y., and Salez, J (2018) Weighted sampling without replacement0.64422100%

Showing the top 10 of 174 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Decoupling and randomization for double-indexed permutation statistics1.00074