Binomial distribution (English Wikipedia)

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

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15doi.org

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archive.org

Feller, W. (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.
Robert B. Ash (1990). Information Theory. Dover Publications. p. 115. ISBN 9780486665214.
Box, Hunter and Hunter (1978). Statistics for experimenters. Wiley. p. 130. ISBN 9780471093152.

arxiv.org

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

pellucid.atlassian.net

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

cmu.edu

cs.cmu.edu

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

devroye.org

luc.devroye.org

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

doi.org

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): 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
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

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

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

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

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

See Proof Wiki

psu.edu

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

sagepub.com

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

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

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

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

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

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

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

tandfonline.com

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

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

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

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

web.archive.org

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". 2023-03-28. Archived from the original on 2023-03-28. Retrieved 2023-10-08.{{cite web}}: 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

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.