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Poisson approximation

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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S.Y.Novak

Probability · Submitted 31 Dec 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We overview results on the topic of Poisson approximation that are missed in existing surveys.

how it is stated · asserted 0.97 read the record →

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arXiv ID1901.01847 (version 2)
Pith IDZAGLJY6T, Pith's permanent record of this paper and its review
CitationS.Y.Novak. "Poisson approximation." arXiv:1901.01847 (2018). https://pith.science/paper/ZAGLJY6T
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,126 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.16 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.22 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We overview results on the topic of Poisson approximation that are missed in existing surveys. The topic of Poisson approximation to the distribution of a sum of integer-valued random variables is presented as well. We do not restrict ourselves to a particular method, and overview the whole range of issues including the general limit theorem, estimates of the accuracy of approximation, asymptotic expansions, etc. Related results on the accuracy of compound Poisson approximation are presented as well. We indicate a number of open problems and discuss directions of further research.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We overview results on the topic of Poisson approximation that are missed in existing surveys. contribution 0.53 0.53 0.12 asserted 0.97
s1 The topic of Poisson approximation to the distribution of a sum of integer-valued random variables is presented as well. contribution 0.75 0.18 0.08 asserted 0.99
s2 We do not restrict ourselves to a particular method, and overview the whole range of issues including the general limit theorem, estimates of the accuracy of approximation, asymptotic expansions, etc. contribution 0.70 0.46 0.10 asserted 0.97
s3 Related results on the accuracy of compound Poisson approximation are presented as well. contribution 0.97 0.41 0.05 asserted 1.00
s4 We indicate a number of open problems and discuss directions of further research. future work 0.99 0.70 0.07 asserted 0.69

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We overview results on the topic of Poisson approximation that are missed in existing surveys. The topic of Poisson approximation to the distribution of a sum of integer-valued random variables is presented as well. We do not restrict ourselves to a particular method, and overview the whole range of issues including the general limit theorem, estimates of the accuracy of approximation, asymptotic expansions, etc. Related results on the accuracy of compound Poisson approximation are presented as well. We indicate a number of open problems and discuss directions of further research.

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