Binomial distribution (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Binomial distribution" in English language version.

Last modified: 11:43:40, 21 August 2026 (UTC)

Ref.Un. Ref.Website

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1815doi.org

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65semanticscholar.org

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55jstor.org

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54nist.gov

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22arxiv.org

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21nih.gov

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21upenn.edu

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archive.org (Global: 6^th place; English: 6^th place)

Feller, William (1968). An Introduction to Probability Theory and Its Applications (Third ed.). New York: Wiley. p. 151 (theorem in section VI.3).
Wadsworth, G. P. (1960). Introduction to Probability and Random Variables. New York: McGraw-Hill. p. 52.
Box, George E.P.; Hunter, William Gordon; Hunter, J. Stuart (1978). Statistics for Experimenters: Design, Innovation, and Discovery. Wiley. p. 130. ISBN 978-0-471-09315-2.

arxiv.org (Global: 49^th place; English: 31^st place)

D. Ahle, Thomas (2022), "Sharp and Simple Bounds for the raw Moments of the Binomial and Poisson Distributions", Statistics & Probability Letters, 182 109306, arXiv:2103.17027, doi:10.1016/j.spl.2021.109306
Nowakowski, Sz. (2021). "Uniqueness of a Median of a Binomial Distribution with Rational Probability". Advances in Mathematics: Scientific Journal. 10 (4): 1951–1958. arXiv:2004.03280. doi:10.37418/amsj.10.4.9. ISSN 1857-8365. S2CID 215238991.

atlassian.net (Global: low place; English: low place)

pellucid.atlassian.net

Gulotta, Joseph. "Agresti-Coull Interval Method". pellucid.atlassian.net. Retrieved 18 May 2021.

cmu.edu (Global: 2,125^th place; English: 1,347^th place)

cs.cmu.edu

Matoušek, J.; Vondrak, J. "The Probabilistic Method" (PDF). lecture notes. Archived (PDF) from the original on 2022-10-09.

devroye.org (Global: low place; English: low place)

luc.devroye.org

Devroye, Luc (1986) Non-Uniform Random Variate Generation, New York: Springer-Verlag. (See especially Chapter X, Discrete Univariate Distributions)

doi.org (Global: 2^nd place; English: 2^nd place)

Jowett, G. H. (1963). "The Relationship Between the Binomial and F Distributions". Journal of the Royal Statistical Society, Series D. 13 (1): 55–57. doi:10.2307/2986663. JSTOR 2986663.
Knoblauch, Andreas (2008), "Closed-Form Expressions for the Moments of the Binomial Probability Distribution", SIAM Journal on Applied Mathematics, 69 (1): 197–204, doi:10.1137/070700024, JSTOR 40233780
Nguyen, Duy (2021), "A probabilistic approach to the moments of binomial random variables and application", The American Statistician, 75 (1): 101–103, doi:10.1080/00031305.2019.1679257, S2CID 209923008
D. Ahle, Thomas (2022), "Sharp and Simple Bounds for the raw Moments of the Binomial and Poisson Distributions", Statistics & Probability Letters, 182 109306, arXiv:2103.17027, doi:10.1016/j.spl.2021.109306
Kaas, R.; Buhrman, J.M. (1980). "Mean, Median and Mode in Binomial Distributions". Statistica Neerlandica. 34 (1): 13–18. doi:10.1111/j.1467-9574.1980.tb00681.x.
Hamza, K. (1995). "The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions". Statistics & Probability Letters. 23: 21–25. doi:10.1016/0167-7152(94)00090-U.
Nowakowski, Sz. (2021). "Uniqueness of a Median of a Binomial Distribution with Rational Probability". Advances in Mathematics: Scientific Journal. 10 (4): 1951–1958. arXiv:2004.03280. doi:10.37418/amsj.10.4.9. ISSN 1857-8365. S2CID 215238991.
Arratia, R.; Gordon, L. (1989). "Tutorial on large deviations for the binomial distribution". Bulletin of Mathematical Biology. 51 (1): 125–131. doi:10.1007/BF02458840. PMID 2706397. S2CID 189884382.
Wilcox, Rand R. (1979). "Estimating the Parameters of the Beta-Binomial Distribution". Educational and Psychological Measurement. 39 (3): 527–535. doi:10.1177/001316447903900302. ISSN 0013-1644. S2CID 121331083.
Razzaghi, Mehdi (2002). "On the estimation of binomial success probability with zero occurrence in sample". Journal of Modern Applied Statistical Methods. 1 (2) jmasm.eP1673: 326–332. doi:10.22237/jmasm/1036110000.
Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban (2001), "Interval Estimation for a Binomial Proportion", Statistical Science, 16 (2): 101–133, CiteSeerX 10.1.1.323.7752, doi:10.1214/ss/1009213286, retrieved 2015-01-05 {{citation}}: Cite uses deprecated parameter |citeseerx= (help)
Agresti, Alan; Coull, Brent A. (May 1998), "Approximate is better than 'exact' for interval estimation of binomial proportions" (PDF), The American Statistician, 52 (2): 119–126, doi:10.2307/2685469, JSTOR 2685469, retrieved 2015-01-05
Wilson, Edwin B. (June 1927), "Probable inference, the law of succession, and statistical inference" (PDF), Journal of the American Statistical Association, 22 (158): 209–212, doi:10.2307/2276774, JSTOR 2276774, archived from the original (PDF) on 2015-01-13, retrieved 2015-01-05
Katz, D.; et al. (1978). "Obtaining confidence intervals for the risk ratio in cohort studies". Biometrics. 34 (3): 469–474. doi:10.2307/2530610. JSTOR 2530610.
Kachitvichyanukul, V.; Schmeiser, B. W. (1988). "Binomial random variate generation". Communications of the ACM. 31 (2): 216–222. doi:10.1145/42372.42381. S2CID 18698828.

ghostarchive.org (Global: 64^th place; English: 28^th place)

Matoušek, J.; Vondrak, J. "The Probabilistic Method" (PDF). lecture notes. Archived (PDF) from the original on 2022-10-09.
Pires, M. A. (2002). "Confidence intervals for a binomial proportion: comparison of methods and software evaluation" (PDF). In Klinke, S.; Ahrend, P.; Richter, L. (eds.). Proceedings of the Conference CompStat 2002. Short Communications and Posters. Archived (PDF) from the original on 2022-10-09.

jstor.org (Global: 23^rd place; English: 15^th place)

Jowett, G. H. (1963). "The Relationship Between the Binomial and F Distributions". Journal of the Royal Statistical Society, Series D. 13 (1): 55–57. doi:10.2307/2986663. JSTOR 2986663.
Knoblauch, Andreas (2008), "Closed-Form Expressions for the Moments of the Binomial Probability Distribution", SIAM Journal on Applied Mathematics, 69 (1): 197–204, doi:10.1137/070700024, JSTOR 40233780
Agresti, Alan; Coull, Brent A. (May 1998), "Approximate is better than 'exact' for interval estimation of binomial proportions" (PDF), The American Statistician, 52 (2): 119–126, doi:10.2307/2685469, JSTOR 2685469, retrieved 2015-01-05
Wilson, Edwin B. (June 1927), "Probable inference, the law of succession, and statistical inference" (PDF), Journal of the American Statistical Association, 22 (158): 209–212, doi:10.2307/2276774, JSTOR 2276774, archived from the original (PDF) on 2015-01-13, retrieved 2015-01-05
Katz, D.; et al. (1978). "Obtaining confidence intervals for the risk ratio in cohort studies". Biometrics. 34 (3): 469–474. doi:10.2307/2530610. JSTOR 2530610.

nih.gov (Global: 5^th place; English: 5^th place)

pubmed.ncbi.nlm.nih.gov

Arratia, R.; Gordon, L. (1989). "Tutorial on large deviations for the binomial distribution". Bulletin of Mathematical Biology. 51 (1): 125–131. doi:10.1007/BF02458840. PMID 2706397. S2CID 189884382.

nist.gov (Global: 708^th place; English: 742^nd place)

itl.nist.gov

"Confidence intervals". itl.nist.gov. Retrieved 18 May 2021.
"Confidence intervals". Engineering Statistics Handbook. NIST/Sematech. 2012. Retrieved 2017-07-23.
NIST/SEMATECH, "7.2.4. Does the proportion of defectives meet requirements?" e-Handbook of Statistical Methods.
NIST/SEMATECH, "6.3.3.1. Counts Control Charts", e-Handbook of Statistical Methods.

proofwiki.org (Global: low place; English: low place)

See Proof Wiki

psu.edu (Global: 299^th place; English: 159^th place)

citeseerx.ist.psu.edu

Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban (2001), "Interval Estimation for a Binomial Proportion", Statistical Science, 16 (2): 101–133, CiteSeerX 10.1.1.323.7752, doi:10.1214/ss/1009213286, retrieved 2015-01-05 {{citation}}: Cite uses deprecated parameter |citeseerx= (help)

sagepub.com (Global: 609^th place; English: 451^st place)

journals.sagepub.com

Wilcox, Rand R. (1979). "Estimating the Parameters of the Beta-Binomial Distribution". Educational and Psychological Measurement. 39 (3): 527–535. doi:10.1177/001316447903900302. ISSN 0013-1644. S2CID 121331083.

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Nguyen, Duy (2021), "A probabilistic approach to the moments of binomial random variables and application", The American Statistician, 75 (1): 101–103, doi:10.1080/00031305.2019.1679257, S2CID 209923008
Nowakowski, Sz. (2021). "Uniqueness of a Median of a Binomial Distribution with Rational Probability". Advances in Mathematics: Scientific Journal. 10 (4): 1951–1958. arXiv:2004.03280. doi:10.37418/amsj.10.4.9. ISSN 1857-8365. S2CID 215238991.
Arratia, R.; Gordon, L. (1989). "Tutorial on large deviations for the binomial distribution". Bulletin of Mathematical Biology. 51 (1): 125–131. doi:10.1007/BF02458840. PMID 2706397. S2CID 189884382.
Wilcox, Rand R. (1979). "Estimating the Parameters of the Beta-Binomial Distribution". Educational and Psychological Measurement. 39 (3): 527–535. doi:10.1177/001316447903900302. ISSN 0013-1644. S2CID 121331083.
Kachitvichyanukul, V.; Schmeiser, B. W. (1988). "Binomial random variate generation". Communications of the ACM. 31 (2): 216–222. doi:10.1145/42372.42381. S2CID 18698828.

sinica.edu.tw (Global: 1,209^th place; English: 2,944^th place)

www3.stat.sinica.edu.tw

Wang, Y. H. (1993). "On the number of successes in independent trials" (PDF). Statistica Sinica. 3 (2): 295–312. Archived from the original (PDF) on 2016-03-03.

springer.com (Global: 182^nd place; English: 172^nd place)

Dekking, F.M.; Kraaikamp, C.; Lopohaa, H.P.; Meester, L.E. (2005). A Modern Introduction of Probability and Statistics (1 ed.). Springer-Verlag London. ISBN 978-1-84628-168-6.

stackexchange.com (Global: 4,114^th place; English: 3,027^th place)

math.stackexchange.com

See also Nicolas, André (January 7, 2019). "Finding mode in Binomial distribution". Stack Exchange.

stats.stackexchange.com

Marko Lalovic (https://stats.stackexchange.com/users/105848/marko-lalovic), Jeffreys prior for binomial likelihood, URL (version: 2019-03-04): https://stats.stackexchange.com/q/275608

stanford.edu (Global: 194^th place; English: 182^nd place)

psych.stanford.edu

Wilson, Edwin B. (June 1927), "Probable inference, the law of succession, and statistical inference" (PDF), Journal of the American Statistical Association, 22 (158): 209–212, doi:10.2307/2276774, JSTOR 2276774, archived from the original (PDF) on 2015-01-13, retrieved 2015-01-05

statlect.com (Global: low place; English: low place)

Taboga, Marco. "Lectures on Probability Theory and Mathematical Statistics". statlect.com. Retrieved 18 December 2017.
"Beta distribution".

tandfonline.com (Global: 286^th place; English: 209^th place)

Nguyen, Duy (2021), "A probabilistic approach to the moments of binomial random variables and application", The American Statistician, 75 (1): 101–103, doi:10.1080/00031305.2019.1679257, S2CID 209923008

ufl.edu (Global: 880^th place; English: 578^th place)

stat.ufl.edu

Agresti, Alan; Coull, Brent A. (May 1998), "Approximate is better than 'exact' for interval estimation of binomial proportions" (PDF), The American Statistician, 52 (2): 119–126, doi:10.2307/2685469, JSTOR 2685469, retrieved 2015-01-05

ulisboa.pt (Global: low place; English: low place)

math.tecnico.ulisboa.pt

Pires, M. A. (2002). "Confidence intervals for a binomial proportion: comparison of methods and software evaluation" (PDF). In Klinke, S.; Ahrend, P.; Richter, L. (eds.). Proceedings of the Conference CompStat 2002. Short Communications and Posters. Archived (PDF) from the original on 2022-10-09.

upenn.edu (Global: 784^th place; English: 498^th place)

www-stat.wharton.upenn.edu

Brown, Lawrence D.; Cai, T. Tony; DasGupta, Anirban (2001), "Interval Estimation for a Binomial Proportion", Statistical Science, 16 (2): 101–133, CiteSeerX 10.1.1.323.7752, doi:10.1214/ss/1009213286, retrieved 2015-01-05 {{citation}}: Cite uses deprecated parameter |citeseerx= (help)

web.archive.org (Global: 1^st place; English: 1^st place)

Wilson, Edwin B. (June 1927), "Probable inference, the law of succession, and statistical inference" (PDF), Journal of the American Statistical Association, 22 (158): 209–212, doi:10.2307/2276774, JSTOR 2276774, archived from the original (PDF) on 2015-01-13, retrieved 2015-01-05
Wang, Y. H. (1993). "On the number of successes in independent trials" (PDF). Statistica Sinica. 3 (2): 295–312. Archived from the original (PDF) on 2016-03-03.
"6.4: Normal Approximation to the Binomial Distribution - Statistics LibreTexts". 2023-05-29. Archived from the original on 2023-05-29. Retrieved 2023-10-07.{{cite web}}: CS1 maint: bot: original URL status unknown (link)
"12.4 – Approximating the Binomial Distribution | STAT 414". Pennstate: Statistics Online Courses. 2023-03-28. Archived from the original on 2023-03-28. Retrieved 2023-10-08.{{cite news}}: CS1 maint: bot: original URL status unknown (link)
"The Connection Between the Poisson and Binomial Distributions". 2023-03-13. Archived from the original on 2023-03-13. Retrieved 2023-10-08.{{cite web}}: CS1 maint: bot: original URL status unknown (link)

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Nowakowski, Sz. (2021). "Uniqueness of a Median of a Binomial Distribution with Rational Probability". Advances in Mathematics: Scientific Journal. 10 (4): 1951–1958. arXiv:2004.03280. doi:10.37418/amsj.10.4.9. ISSN 1857-8365. S2CID 215238991.
Wilcox, Rand R. (1979). "Estimating the Parameters of the Beta-Binomial Distribution". Educational and Psychological Measurement. 39 (3): 527–535. doi:10.1177/001316447903900302. ISSN 0013-1644. S2CID 121331083.

Binomial distribution (English Wikipedia)

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 49th place; English: 31st place)

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cmu.edu (Global: 2,125th place; English: 1,347th place)

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doi.org (Global: 2nd place; English: 2nd place)

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jstor.org (Global: 23rd place; English: 15th place)

nih.gov (Global: 5th place; English: 5th place)

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nist.gov (Global: 708th place; English: 742nd place)

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psu.edu (Global: 299th place; English: 159th place)

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sinica.edu.tw (Global: 1,209th place; English: 2,944th place)

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springer.com (Global: 182nd place; English: 172nd place)

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stanford.edu (Global: 194th place; English: 182nd place)

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jstor.org (Global: 23^rd place; English: 15^th place)

nih.gov (Global: 5^th place; English: 5^th place)

nist.gov (Global: 708^th place; English: 742^nd place)

psu.edu (Global: 299^th place; English: 159^th place)

sagepub.com (Global: 609^th place; English: 451^st place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

sinica.edu.tw (Global: 1,209^th place; English: 2,944^th place)

springer.com (Global: 182^nd place; English: 172^nd place)

stackexchange.com (Global: 4,114^th place; English: 3,027^th place)

stanford.edu (Global: 194^th place; English: 182^nd place)

tandfonline.com (Global: 286^th place; English: 209^th place)

ufl.edu (Global: 880^th place; English: 578^th place)

upenn.edu (Global: 784^th place; English: 498^th place)

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