Poisson binomial distribution (English Wikipedia)

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

Last modified: 04:51:29, 1 March 2026 (UTC)

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1210doi.org

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adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Fernandez, M.; S. Williams (2010). "Closed-Form Expression for the Poisson-Binomial Probability Density Function". IEEE Transactions on Aerospace and Electronic Systems. 46 (2): 803–817. Bibcode:2010ITAES..46..803F. doi:10.1109/TAES.2010.5461658. S2CID 1456258.
Harremoës, P. (2001). "Binomial and Poisson distributions as maximum entropy distributions" (PDF). IEEE Transactions on Information Theory. 47 (5): 2039–2041. Bibcode:2001ITIT...47.2039H. doi:10.1109/18.930936. Archived from the original on 2016-01-16. Retrieved 2024-06-06.{{cite journal}}: CS1 maint: bot: original URL status unknown (link)

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Shepp, Lawrence; Olkin, Ingram (1981). "Entropy of the sum of independent Bernoulli random variables and of the multinomial distribution". In Gani, J.; Rohatgi, V.K. (eds.). Contributions to probability: A collection of papers dedicated to Eugene Lukacs. New York: Academic Press. pp. 201–206. ISBN 0-12-274460-8. MR 0618689.

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

Hillion, Erwan; Johnson, Oliver (2015-03-05). "A proof of the Shepp–Olkin entropy concavity conjecture". Bernoulli. 23 (4B): 3638–3649. arXiv:1503.01570. doi:10.3150/16-BEJ860. S2CID 8358662.
Hillion, Erwan; Johnson, Oliver (2019-11-09). "A proof of the Shepp–Olkin entropy monotonicity conjecture". Electronic Journal of Probability. 24 (126): 1–14. arXiv:1810.09791. doi:10.1214/19-EJP380.

books.google.com (Global: 3^rd place; English: 3^rd place)

Shepp, Lawrence; Olkin, Ingram (1981). "Entropy of the sum of independent Bernoulli random variables and of the multinomial distribution". In Gani, J.; Rohatgi, V.K. (eds.). Contributions to probability: A collection of papers dedicated to Eugene Lukacs. New York: Academic Press. pp. 201–206. ISBN 0-12-274460-8. MR 0618689.

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

doi.org

Chen, X. H.; A. P. Dempster; J. S. Liu (1994). "Weighted finite population sampling to maximize entropy" (PDF). Biometrika. 81 (3): 457. doi:10.1093/biomet/81.3.457.
Biscarri, William; Zhao, Sihai Dave; Brunner, Robert J. (2018-06-01). "A simple and fast method for computing the Poisson binomial distribution function". Computational Statistics & Data Analysis. 122: 92–100. doi:10.1016/j.csda.2018.01.007. ISSN 0167-9473. OSTI 1548776.
Fernandez, M.; S. Williams (2010). "Closed-Form Expression for the Poisson-Binomial Probability Density Function". IEEE Transactions on Aerospace and Electronic Systems. 46 (2): 803–817. Bibcode:2010ITAES..46..803F. doi:10.1109/TAES.2010.5461658. S2CID 1456258.
Harremoës, P. (2001). "Binomial and Poisson distributions as maximum entropy distributions" (PDF). IEEE Transactions on Information Theory. 47 (5): 2039–2041. Bibcode:2001ITIT...47.2039H. doi:10.1109/18.930936. Archived from the original on 2016-01-16. Retrieved 2024-06-06.{{cite journal}}: CS1 maint: bot: original URL status unknown (link)
Hillion, Erwan; Johnson, Oliver (2015-03-05). "A proof of the Shepp–Olkin entropy concavity conjecture". Bernoulli. 23 (4B): 3638–3649. arXiv:1503.01570. doi:10.3150/16-BEJ860. S2CID 8358662.
Hillion, Erwan; Johnson, Oliver (2019-11-09). "A proof of the Shepp–Olkin entropy monotonicity conjecture". Electronic Journal of Probability. 24 (126): 1–14. arXiv:1810.09791. doi:10.1214/19-EJP380.
Ehm, Werner (1991-01-01). "Binomial approximation to the Poisson binomial distribution". Statistics & Probability Letters. 11 (1): 7–16. doi:10.1016/0167-7152(91)90170-V. ISSN 0167-7152.
Barbour, A. D.; Hall, Peter (1984). "On the Rate of Poisson Convergence" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 95 (3): 473–480. doi:10.1017/S0305004100061806.
Hong, Yili (March 2013). "On computing the distribution function for the Poisson binomial distribution". Computational Statistics & Data Analysis. 59: 41–51. doi:10.1016/j.csda.2012.10.006.

dx.doi.org

Ehm, Werner (1991-01-01). "Binomial approximation to the Poisson binomial distribution". Statistics & Probability Letters. 11 (1): 7–16. doi:10.1016/0167-7152(91)90170-V. ISSN 0167-7152.

fas.harvard.edu (Global: 2,293^rd place; English: 2,027^th place)

people.fas.harvard.edu

Chen, X. H.; A. P. Dempster; J. S. Liu (1994). "Weighted finite population sampling to maximize entropy" (PDF). Biometrika. 81 (3): 457. doi:10.1093/biomet/81.3.457.

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

Shah, B. K. (1994). "On the distribution of the sum of independent integer valued random variables". American Statistician. 27 (3): 123–124. JSTOR 2683639.

osti.gov (Global: 2,098^th place; English: 1,146^th place)

Biscarri, William; Zhao, Sihai Dave; Brunner, Robert J. (2018-06-01). "A simple and fast method for computing the Poisson binomial distribution function". Computational Statistics & Data Analysis. 122: 92–100. doi:10.1016/j.csda.2018.01.007. ISSN 0167-9473. OSTI 1548776.

sciencedirect.com (Global: 137^th place; English: 146^th place)

Biscarri, William; Zhao, Sihai Dave; Brunner, Robert J. (2018-06-01). "A simple and fast method for computing the Poisson binomial distribution function". Computational Statistics & Data Analysis. 122: 92–100. doi:10.1016/j.csda.2018.01.007. ISSN 0167-9473. OSTI 1548776.

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

api.semanticscholar.org

Fernandez, M.; S. Williams (2010). "Closed-Form Expression for the Poisson-Binomial Probability Density Function". IEEE Transactions on Aerospace and Electronic Systems. 46 (2): 803–817. Bibcode:2010ITAES..46..803F. doi:10.1109/TAES.2010.5461658. S2CID 1456258.
Hillion, Erwan; Johnson, Oliver (2015-03-05). "A proof of the Shepp–Olkin entropy concavity conjecture". Bernoulli. 23 (4B): 3638–3649. arXiv:1503.01570. doi:10.3150/16-BEJ860. S2CID 8358662.

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. Retrieved 2010-08-31.
Chen, S. X.; J. S. Liu (1997). "Statistical Applications of the Poisson–Binomial and conditional Bernoulli distributions". Statistica Sinica. 7: 875–892.^{[dead link]}

uzh.ch (Global: 1,380^th place; English: 1,488^th place)

zora.uzh.ch

Barbour, A. D.; Hall, Peter (1984). "On the Rate of Poisson Convergence" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 95 (3): 473–480. doi:10.1017/S0305004100061806.

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

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. Retrieved 2010-08-31.
Harremoës, P. (2001). "Binomial and Poisson distributions as maximum entropy distributions" (PDF). IEEE Transactions on Information Theory. 47 (5): 2039–2041. Bibcode:2001ITIT...47.2039H. doi:10.1109/18.930936. Archived from the original on 2016-01-16. Retrieved 2024-06-06.{{cite journal}}: CS1 maint: bot: original URL status unknown (link)

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

search.worldcat.org

Biscarri, William; Zhao, Sihai Dave; Brunner, Robert J. (2018-06-01). "A simple and fast method for computing the Poisson binomial distribution function". Computational Statistics & Data Analysis. 122: 92–100. doi:10.1016/j.csda.2018.01.007. ISSN 0167-9473. OSTI 1548776.
Ehm, Werner (1991-01-01). "Binomial approximation to the Poisson binomial distribution". Statistics & Probability Letters. 11 (1): 7–16. doi:10.1016/0167-7152(91)90170-V. ISSN 0167-7152.

Poisson binomial distribution (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

ui.adsabs.harvard.edu

ams.org (Global: 434th place; English: 249th place)

mathscinet.ams.org

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

books.google.com (Global: 3rd place; English: 3rd place)

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