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Density Sharpening: Principles and Applications to Discrete Data Analysis

Subhadeep Mukhopadhyay

arXiv 16 Aug 2021 · Statistics — Methodology · 1 citations (OpenAlex)

arXiv:2108.07372 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This article introduces a general statistical modeling principle called "Density Sharpening" and applies it to the analysis of discrete count data. The underlying foundation is based on a new theory of nonparametric approximation and smoothing methods for discrete distributions which play a useful role in explaining and uniting a large class of applied statistical methods. The proposed modeling framework is illustrated using several real applications, from seismology to healthcare to physics.

Citation extraction

18
references
69
in-text mentions
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distinct cited
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main-text words

appendix boundary found by appendix_command · 80% 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
box2001disunmatched citation key box2001dis0.51121100%
acharya2015optimalunmatched citation key acharya2015optimal0.40511100%
aldous1986unmatched citation key aldous19860.40511100%
beran1988unmatched citation key beran19880.40511100%
bernreuter1981seismicunmatched citation key bernreuter1981seismic0.40511100%
castelvecchi2018lhcunmatched citation key castelvecchi2018lhc0.40511100%
cowan2007unmatched citation key cowan20070.40511100%
csorgHo1983quantileunmatched citation key csorgHo1983quantile0.40511100%
de1713essayunmatched citation key de1713essay0.40511100%
diaconis2018bayGOFunmatched citation key diaconis2018bayGOF0.40511100%

Showing the top 10 of 64 scored citations. 10 of these could not be matched to a bibliography entry, so only the citation key is shown.