Negative binomial distribution (English Wikipedia)

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

refsWebsite

Global rank English rank

2^nd place

2^nd place

18^th place

17^th place

4^th place

4^th place

5^th place

5^th place

69^th place

59^th place

5semanticscholar.org

11^th place

8^th place

102^nd place

76^th place

6^th place

6^th place

2books.google.com

3^rd place

3^rd place

26^th place

20^th place

2bioconductor.org

low place

low place

1,725^th place

1,828^th place

70^th place

63^rd place

513^th place

537^th place

low place

low place

6,214^th place

4,509^th place

921^st place

644^th place

low place

low place

2,798^th place

4,271^st place

1randomservices.org

low place

low place

low place

low place

850^th place

625^th place

low place

low place

621^st place

380^th place

1,503^rd place

1,378^th place

5,591^st place

5,552^nd place

aanda.org

Hurtado-Gil, Lluís; Martínez, Vicent J.; Arnalte-Mur, Pablo; Pons-Bordería, María-Jesús; Pareja-Flores, Cristóbal; Paredes, Silvestre (2017-05-01). "The best fit for the observed galaxy counts-in-cell distribution function". Astronomy & Astrophysics. 601: A40. arXiv:1703.01087. Bibcode:2017A&A...601A..40H. doi:10.1051/0004-6361/201629097. ISSN 0004-6361.

aps.org

link.aps.org

Derrick, M.; Gan, K. K.; Kooijman, P.; Loos, J. S.; Musgrave, B.; Price, L. E.; Repond, J.; Schlereth, J.; Sugano, K.; Weiss, J. M.; Wood, D. E.; Baranko, G.; Blockus, D.; Brabson, B.; Brom, J. M. (1986-12-01). "Study of quark fragmentation in ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ annihilation at 29 GeV: Charged-particle multiplicity and single-particle rapidity distributions". Physical Review D. 34 (11): 3304–3320. doi:10.1103/PhysRevD.34.3304. hdl:1808/15222. PMID 9957066.

archive.org

Casella, George; Berger, Roger L. (2002). Statistical inference (2nd ed.). Thomson Learning. p. 95. ISBN 0-534-24312-6.
Cameron, Adrian C.; Trivedi, Pravin K. (1998). Regression analysis of count data. Cambridge University Press. ISBN 978-0-521-63567-7.

arxiv.org

Grosse-Oetringhaus, Jan Fiete; Reygers, Klaus (2010-08-01). "Charged-particle multiplicity in proton–proton collisions". Journal of Physics G: Nuclear and Particle Physics. 37 (8): 083001. arXiv:0912.0023. doi:10.1088/0954-3899/37/8/083001. ISSN 0954-3899. S2CID 119233810.
Rybczyński, Maciej; Wilk, Grzegorz; Włodarczyk, Zbigniew (2019-05-31). "Intriguing properties of multiplicity distributions". Physical Review D. 99 (9): 094045. arXiv:1811.07197. Bibcode:2019PhRvD..99i4045R. doi:10.1103/PhysRevD.99.094045. ISSN 2470-0010.
Tarnowsky, Terence J.; Westfall, Gary D. (2013-07-09). "First study of the negative binomial distribution applied to higher moments of net-charge and net-proton multiplicity distributions". Physics Letters B. 724 (1): 51–55. arXiv:1210.8102. Bibcode:2013PhLB..724...51T. doi:10.1016/j.physletb.2013.05.064. ISSN 0370-2693.
Zborovský, I. (2018-10-10). "Three-component multiplicity distribution, oscillation of combinants and properties of clans in pp collisions at the LHC". The European Physical Journal C. 78 (10): 816. arXiv:1811.11230. Bibcode:2018EPJC...78..816Z. doi:10.1140/epjc/s10052-018-6287-x. ISSN 1434-6052.
Perez, Lucia A.; Malhotra, Sangeeta; Rhoads, James E.; Tilvi, Vithal (2021-01-07). "Void Probability Function of Simulated Surveys of High-redshift Ly α Emitters". The Astrophysical Journal. 906 (1): 58. arXiv:2011.03556. Bibcode:2021ApJ...906...58P. doi:10.3847/1538-4357/abc88b. ISSN 1538-4357.
Hurtado-Gil, Lluís; Martínez, Vicent J.; Arnalte-Mur, Pablo; Pons-Bordería, María-Jesús; Pareja-Flores, Cristóbal; Paredes, Silvestre (2017-05-01). "The best fit for the observed galaxy counts-in-cell distribution function". Astronomy & Astrophysics. 601: A40. arXiv:1703.01087. Bibcode:2017A&A...601A..40H. doi:10.1051/0004-6361/201629097. ISSN 0004-6361.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

bioconductor.org

"Differential analysis of count data – the" (PDF).
Chen, Yunshun; Davis, McCarthy (September 25, 2014). "edgeR: differential expression analysis of digital gene expression data" (PDF). Retrieved October 14, 2014.

books.google.com

Crawley, Michael J. (2012). The R Book. Wiley. ISBN 978-1-118-44896-0.
Hilbe, Joseph M. (2011). Negative Binomial Regression (Second ed.). Cambridge, UK: Cambridge University Press. ISBN 978-0-521-19815-8.

doi.org

doi.org

e.g. Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
The overdispersion parameter is usually denoted by the letter $k$ in epidemiology, rather than $r$ as here.
Lloyd-Smith, J. O. (2007). "Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases". PLoS ONE. 2 (2): e180. Bibcode:2007PLoSO...2..180L. doi:10.1371/journal.pone.0000180. PMC 1791715. PMID 17299582.
Carter, E.M., Potts, H.W.W. (4 April 2014). "Predicting length of stay from an electronic patient record system: a primary total knee replacement example". BMC Medical Informatics and Decision Making. 14: 26. doi:10.1186/1472-6947-14-26. PMC 3992140. PMID 24708853.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Orooji, Arezoo; Nazar, Eisa; Sadeghi, Masoumeh; Moradi, Ali; Jafari, Zahra; Esmaily, Habibollah (2021-04-30). "Factors associated with length of stay in hospital among the elderly patients using count regression models". Medical Journal of the Islamic Republic of Iran. 35: 5. doi:10.47176/mjiri.35.5. PMC 8111647. PMID 33996656.
Greenwood, M.; Yule, G. U. (1920). "An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference of multiple attacks of disease or of repeated accidents". J R Stat Soc. 83 (2): 255–279. doi:10.2307/2341080. JSTOR 2341080.
Haldane, J. B. S. (1945). "On a Method of Estimating Frequencies". Biometrika. 33 (3): 222–225. doi:10.1093/biomet/33.3.222. hdl:10338.dmlcz/102575. JSTOR 2332299. PMID 21006837.
Aramidis, K. (1999). "An EM algorithm for estimating negative binomial parameters". Australian & New Zealand Journal of Statistics. 41 (2): 213–221. doi:10.1111/1467-842X.00075. S2CID 118758171.
Villarini, G.; Vecchi, G.A.; Smith, J.A. (2010). "Modeling of the dependence of tropical storm counts in the North Atlantic Basin on climate indices". Monthly Weather Review. 138 (7): 2681–2705. Bibcode:2010MWRv..138.2681V. doi:10.1175/2010MWR3315.1.
Mailier, P.J.; Stephenson, D.B.; Ferro, C.A.T.; Hodges, K.I. (2006). "Serial Clustering of Extratropical Cyclones". Monthly Weather Review. 134 (8): 2224–2240. Bibcode:2006MWRv..134.2224M. doi:10.1175/MWR3160.1.
Vitolo, R.; Stephenson, D.B.; Cook, Ian M.; Mitchell-Wallace, K. (2009). "Serial clustering of intense European storms". Meteorologische Zeitschrift. 18 (4): 411–424. Bibcode:2009MetZe..18..411V. doi:10.1127/0941-2948/2009/0393. S2CID 67845213.
Stoklosa, J.; Blakey, R.V.; Hui, F.K.C. (2022). "An Overview of Modern Applications of Negative Binomial Modelling in Ecology and Biodiversity". Diversity. 14 (5): 320. doi:10.3390/d14050320.
Robinson, M.D.; Smyth, G.K. (2007). "Moderated statistical tests for assessing differences in tag abundance". Bioinformatics. 23 (21): 2881–2887. doi:10.1093/bioinformatics/btm453. PMID 17881408.
Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
Grosse-Oetringhaus, Jan Fiete; Reygers, Klaus (2010-08-01). "Charged-particle multiplicity in proton–proton collisions". Journal of Physics G: Nuclear and Particle Physics. 37 (8): 083001. arXiv:0912.0023. doi:10.1088/0954-3899/37/8/083001. ISSN 0954-3899. S2CID 119233810.
Rybczyński, Maciej; Wilk, Grzegorz; Włodarczyk, Zbigniew (2019-05-31). "Intriguing properties of multiplicity distributions". Physical Review D. 99 (9): 094045. arXiv:1811.07197. Bibcode:2019PhRvD..99i4045R. doi:10.1103/PhysRevD.99.094045. ISSN 2470-0010.
Tarnowsky, Terence J.; Westfall, Gary D. (2013-07-09). "First study of the negative binomial distribution applied to higher moments of net-charge and net-proton multiplicity distributions". Physics Letters B. 724 (1): 51–55. arXiv:1210.8102. Bibcode:2013PhLB..724...51T. doi:10.1016/j.physletb.2013.05.064. ISSN 0370-2693.
Derrick, M.; Gan, K. K.; Kooijman, P.; Loos, J. S.; Musgrave, B.; Price, L. E.; Repond, J.; Schlereth, J.; Sugano, K.; Weiss, J. M.; Wood, D. E.; Baranko, G.; Blockus, D.; Brabson, B.; Brom, J. M. (1986-12-01). "Study of quark fragmentation in ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ annihilation at 29 GeV: Charged-particle multiplicity and single-particle rapidity distributions". Physical Review D. 34 (11): 3304–3320. doi:10.1103/PhysRevD.34.3304. hdl:1808/15222. PMID 9957066.
Zborovský, I. (2018-10-10). "Three-component multiplicity distribution, oscillation of combinants and properties of clans in pp collisions at the LHC". The European Physical Journal C. 78 (10): 816. arXiv:1811.11230. Bibcode:2018EPJC...78..816Z. doi:10.1140/epjc/s10052-018-6287-x. ISSN 1434-6052.
Perez, Lucia A.; Malhotra, Sangeeta; Rhoads, James E.; Tilvi, Vithal (2021-01-07). "Void Probability Function of Simulated Surveys of High-redshift Ly α Emitters". The Astrophysical Journal. 906 (1): 58. arXiv:2011.03556. Bibcode:2021ApJ...906...58P. doi:10.3847/1538-4357/abc88b. ISSN 1538-4357.
Hurtado-Gil, Lluís; Martínez, Vicent J.; Arnalte-Mur, Pablo; Pons-Bordería, María-Jesús; Pareja-Flores, Cristóbal; Paredes, Silvestre (2017-05-01). "The best fit for the observed galaxy counts-in-cell distribution function". Astronomy & Astrophysics. 601: A40. arXiv:1703.01087. Bibcode:2017A&A...601A..40H. doi:10.1051/0004-6361/201629097. ISSN 0004-6361.
Elizalde, E.; Gaztanaga, E. (January 1992). "Void probability as a function of the void's shape and scale-invariant models". Monthly Notices of the Royal Astronomical Society. 254 (2): 247–256. doi:10.1093/mnras/254.2.247. hdl:2060/19910019799. ISSN 0035-8711.
Hameeda, M; Plastino, Angelo; Rocca, M C (2021-03-01). "Generalized Poisson distributions for systems with two-particle interactions". IOP SciNotes. 2 (1): 015003. Bibcode:2021IOPSN...2a5003H. doi:10.1088/2633-1357/abec9f. hdl:11336/181371. ISSN 2633-1357.
Giovannini, A. (June 1973). ""Thermal chaos" and "coherence" in multiplicity distributions at high energies". Il Nuovo Cimento A. 15 (3): 543–551. Bibcode:1973NCimA..15..543G. doi:10.1007/bf02734689. ISSN 0369-3546. S2CID 118805136.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

dx.doi.org

Giovannini, A. (June 1973). ""Thermal chaos" and "coherence" in multiplicity distributions at high energies". Il Nuovo Cimento A. 15 (3): 543–551. Bibcode:1973NCimA..15..543G. doi:10.1007/bf02734689. ISSN 0369-3546. S2CID 118805136.

handle.net

hdl.handle.net

Haldane, J. B. S. (1945). "On a Method of Estimating Frequencies". Biometrika. 33 (3): 222–225. doi:10.1093/biomet/33.3.222. hdl:10338.dmlcz/102575. JSTOR 2332299. PMID 21006837.
Derrick, M.; Gan, K. K.; Kooijman, P.; Loos, J. S.; Musgrave, B.; Price, L. E.; Repond, J.; Schlereth, J.; Sugano, K.; Weiss, J. M.; Wood, D. E.; Baranko, G.; Blockus, D.; Brabson, B.; Brom, J. M. (1986-12-01). "Study of quark fragmentation in ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ annihilation at 29 GeV: Charged-particle multiplicity and single-particle rapidity distributions". Physical Review D. 34 (11): 3304–3320. doi:10.1103/PhysRevD.34.3304. hdl:1808/15222. PMID 9957066.
Elizalde, E.; Gaztanaga, E. (January 1992). "Void probability as a function of the void's shape and scale-invariant models". Monthly Notices of the Royal Astronomical Society. 254 (2): 247–256. doi:10.1093/mnras/254.2.247. hdl:2060/19910019799. ISSN 0035-8711.
Hameeda, M; Plastino, Angelo; Rocca, M C (2021-03-01). "Generalized Poisson distributions for systems with two-particle interactions". IOP SciNotes. 2 (1): 015003. Bibcode:2021IOPSN...2a5003H. doi:10.1088/2633-1357/abec9f. hdl:11336/181371. ISSN 2633-1357.

harvard.edu

ui.adsabs.harvard.edu

e.g. Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
The overdispersion parameter is usually denoted by the letter $k$ in epidemiology, rather than $r$ as here.
Lloyd-Smith, J. O. (2007). "Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases". PLoS ONE. 2 (2): e180. Bibcode:2007PLoSO...2..180L. doi:10.1371/journal.pone.0000180. PMC 1791715. PMID 17299582.
Villarini, G.; Vecchi, G.A.; Smith, J.A. (2010). "Modeling of the dependence of tropical storm counts in the North Atlantic Basin on climate indices". Monthly Weather Review. 138 (7): 2681–2705. Bibcode:2010MWRv..138.2681V. doi:10.1175/2010MWR3315.1.
Mailier, P.J.; Stephenson, D.B.; Ferro, C.A.T.; Hodges, K.I. (2006). "Serial Clustering of Extratropical Cyclones". Monthly Weather Review. 134 (8): 2224–2240. Bibcode:2006MWRv..134.2224M. doi:10.1175/MWR3160.1.
Vitolo, R.; Stephenson, D.B.; Cook, Ian M.; Mitchell-Wallace, K. (2009). "Serial clustering of intense European storms". Meteorologische Zeitschrift. 18 (4): 411–424. Bibcode:2009MetZe..18..411V. doi:10.1127/0941-2948/2009/0393. S2CID 67845213.
Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
Rybczyński, Maciej; Wilk, Grzegorz; Włodarczyk, Zbigniew (2019-05-31). "Intriguing properties of multiplicity distributions". Physical Review D. 99 (9): 094045. arXiv:1811.07197. Bibcode:2019PhRvD..99i4045R. doi:10.1103/PhysRevD.99.094045. ISSN 2470-0010.
Tarnowsky, Terence J.; Westfall, Gary D. (2013-07-09). "First study of the negative binomial distribution applied to higher moments of net-charge and net-proton multiplicity distributions". Physics Letters B. 724 (1): 51–55. arXiv:1210.8102. Bibcode:2013PhLB..724...51T. doi:10.1016/j.physletb.2013.05.064. ISSN 0370-2693.
Zborovský, I. (2018-10-10). "Three-component multiplicity distribution, oscillation of combinants and properties of clans in pp collisions at the LHC". The European Physical Journal C. 78 (10): 816. arXiv:1811.11230. Bibcode:2018EPJC...78..816Z. doi:10.1140/epjc/s10052-018-6287-x. ISSN 1434-6052.
Schaeffer, R (1984). "Determination of the galaxy N-point correlation function". Astronomy and Astrophysics. 134 (2): L15. Bibcode:1984A&A...134L..15S.
Schaeffer, R (1985). "The probability generating function for galaxy clustering". Astronomy and Astrophysics. 144 (1): L1 – L4. Bibcode:1985A&A...144L...1S.
Perez, Lucia A.; Malhotra, Sangeeta; Rhoads, James E.; Tilvi, Vithal (2021-01-07). "Void Probability Function of Simulated Surveys of High-redshift Ly α Emitters". The Astrophysical Journal. 906 (1): 58. arXiv:2011.03556. Bibcode:2021ApJ...906...58P. doi:10.3847/1538-4357/abc88b. ISSN 1538-4357.
Hurtado-Gil, Lluís; Martínez, Vicent J.; Arnalte-Mur, Pablo; Pons-Bordería, María-Jesús; Pareja-Flores, Cristóbal; Paredes, Silvestre (2017-05-01). "The best fit for the observed galaxy counts-in-cell distribution function". Astronomy & Astrophysics. 601: A40. arXiv:1703.01087. Bibcode:2017A&A...601A..40H. doi:10.1051/0004-6361/201629097. ISSN 0004-6361.
Hameeda, M; Plastino, Angelo; Rocca, M C (2021-03-01). "Generalized Poisson distributions for systems with two-particle interactions". IOP SciNotes. 2 (1): 015003. Bibcode:2021IOPSN...2a5003H. doi:10.1088/2633-1357/abec9f. hdl:11336/181371. ISSN 2633-1357.
Giovannini, A. (June 1973). ""Thermal chaos" and "coherence" in multiplicity distributions at high energies". Il Nuovo Cimento A. 15 (3): 543–551. Bibcode:1973NCimA..15..543G. doi:10.1007/bf02734689. ISSN 0369-3546. S2CID 118805136.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

iop.org

iopscience.iop.org

Grosse-Oetringhaus, Jan Fiete; Reygers, Klaus (2010-08-01). "Charged-particle multiplicity in proton–proton collisions". Journal of Physics G: Nuclear and Particle Physics. 37 (8): 083001. arXiv:0912.0023. doi:10.1088/0954-3899/37/8/083001. ISSN 0954-3899. S2CID 119233810.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

iums.ac.ir

mjiri.iums.ac.ir

Orooji, Arezoo; Nazar, Eisa; Sadeghi, Masoumeh; Moradi, Ali; Jafari, Zahra; Esmaily, Habibollah (2021-04-30). "Factors associated with length of stay in hospital among the elderly patients using count regression models". Medical Journal of the Islamic Republic of Iran. 35: 5. doi:10.47176/mjiri.35.5. PMC 8111647. PMID 33996656.

johndcook.com

Cook, John D. "Notes on the Negative Binomial Distribution" (PDF).

jstor.org

Greenwood, M.; Yule, G. U. (1920). "An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference of multiple attacks of disease or of repeated accidents". J R Stat Soc. 83 (2): 255–279. doi:10.2307/2341080. JSTOR 2341080.
Haldane, J. B. S. (1945). "On a Method of Estimating Frequencies". Biometrika. 33 (3): 222–225. doi:10.1093/biomet/33.3.222. hdl:10338.dmlcz/102575. JSTOR 2332299. PMID 21006837.

loc.gov

lccn.loc.gov

DeGroot, Morris H. (1986). Probability and Statistics (Second ed.). Addison-Wesley. pp. 258–259. ISBN 0-201-11366-X. LCCN 84006269. OCLC 10605205.

mathworks.com

"Mathworks: Negative Binomial Distribution".

nih.gov

pubmed.ncbi.nlm.nih.gov

e.g. Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
The overdispersion parameter is usually denoted by the letter $k$ in epidemiology, rather than $r$ as here.
Lloyd-Smith, J. O. (2007). "Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases". PLoS ONE. 2 (2): e180. Bibcode:2007PLoSO...2..180L. doi:10.1371/journal.pone.0000180. PMC 1791715. PMID 17299582.
Carter, E.M., Potts, H.W.W. (4 April 2014). "Predicting length of stay from an electronic patient record system: a primary total knee replacement example". BMC Medical Informatics and Decision Making. 14: 26. doi:10.1186/1472-6947-14-26. PMC 3992140. PMID 24708853.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Orooji, Arezoo; Nazar, Eisa; Sadeghi, Masoumeh; Moradi, Ali; Jafari, Zahra; Esmaily, Habibollah (2021-04-30). "Factors associated with length of stay in hospital among the elderly patients using count regression models". Medical Journal of the Islamic Republic of Iran. 35: 5. doi:10.47176/mjiri.35.5. PMC 8111647. PMID 33996656.
Haldane, J. B. S. (1945). "On a Method of Estimating Frequencies". Biometrika. 33 (3): 222–225. doi:10.1093/biomet/33.3.222. hdl:10338.dmlcz/102575. JSTOR 2332299. PMID 21006837.
Robinson, M.D.; Smyth, G.K. (2007). "Moderated statistical tests for assessing differences in tag abundance". Bioinformatics. 23 (21): 2881–2887. doi:10.1093/bioinformatics/btm453. PMID 17881408.
Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
Derrick, M.; Gan, K. K.; Kooijman, P.; Loos, J. S.; Musgrave, B.; Price, L. E.; Repond, J.; Schlereth, J.; Sugano, K.; Weiss, J. M.; Wood, D. E.; Baranko, G.; Blockus, D.; Brabson, B.; Brom, J. M. (1986-12-01). "Study of quark fragmentation in ${e}^{+}$${e}^{\mathrm{\ensuremath{-}}}$ annihilation at 29 GeV: Charged-particle multiplicity and single-particle rapidity distributions". Physical Review D. 34 (11): 3304–3320. doi:10.1103/PhysRevD.34.3304. hdl:1808/15222. PMID 9957066.

ncbi.nlm.nih.gov

e.g. Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.
The overdispersion parameter is usually denoted by the letter $k$ in epidemiology, rather than $r$ as here.
Lloyd-Smith, J. O. (2007). "Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases". PLoS ONE. 2 (2): e180. Bibcode:2007PLoSO...2..180L. doi:10.1371/journal.pone.0000180. PMC 1791715. PMID 17299582.
Carter, E.M., Potts, H.W.W. (4 April 2014). "Predicting length of stay from an electronic patient record system: a primary total knee replacement example". BMC Medical Informatics and Decision Making. 14: 26. doi:10.1186/1472-6947-14-26. PMC 3992140. PMID 24708853.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Orooji, Arezoo; Nazar, Eisa; Sadeghi, Masoumeh; Moradi, Ali; Jafari, Zahra; Esmaily, Habibollah (2021-04-30). "Factors associated with length of stay in hospital among the elderly patients using count regression models". Medical Journal of the Islamic Republic of Iran. 35: 5. doi:10.47176/mjiri.35.5. PMC 8111647. PMID 33996656.
Lloyd-Smith, J. O.; Schreiber, S. J.; Kopp, P. E.; Getz, W. M. (2005). "Superspreading and the effect of individual variation on disease emergence". Nature. 438 (7066): 355–359. Bibcode:2005Natur.438..355L. doi:10.1038/nature04153. PMC 7094981. PMID 16292310.

ntu.edu.tw

math.ntu.edu.tw

"Set theory: Section 3.2.5 – Negative Binomial Distribution" (PDF).

purdue.edu

stat.purdue.edu

Wroughton, Jacqueline. "Distinguishing Between Binomial, Hypergeometric and Negative Binomial Distributions" (PDF).

randomservices.org

"Randomservices.org, Chapter 10: Bernoulli Trials, Section 4: The Negative Binomial Distribution".

sas.com

documentation.sas.com

SAS Institute, "Negative Binomial Distribution", SAS(R) 9.4 Functions and CALL Routines: Reference, Fourth Edition, SAS Institute, Cary, NC, 2016.

semanticscholar.org

api.semanticscholar.org

Aramidis, K. (1999). "An EM algorithm for estimating negative binomial parameters". Australian & New Zealand Journal of Statistics. 41 (2): 213–221. doi:10.1111/1467-842X.00075. S2CID 118758171.
Vitolo, R.; Stephenson, D.B.; Cook, Ian M.; Mitchell-Wallace, K. (2009). "Serial clustering of intense European storms". Meteorologische Zeitschrift. 18 (4): 411–424. Bibcode:2009MetZe..18..411V. doi:10.1127/0941-2948/2009/0393. S2CID 67845213.
Grosse-Oetringhaus, Jan Fiete; Reygers, Klaus (2010-08-01). "Charged-particle multiplicity in proton–proton collisions". Journal of Physics G: Nuclear and Particle Physics. 37 (8): 083001. arXiv:0912.0023. doi:10.1088/0954-3899/37/8/083001. ISSN 0954-3899. S2CID 119233810.
Giovannini, A. (June 1973). ""Thermal chaos" and "coherence" in multiplicity distributions at high energies". Il Nuovo Cimento A. 15 (3): 543–551. Bibcode:1973NCimA..15..543G. doi:10.1007/bf02734689. ISSN 0369-3546. S2CID 118805136.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

stattrek.com

"Stat Trek: Negative Binomial Distribution".

ufl.edu

stat.ufl.edu

Saha, Abhishek. "Introduction to Probability / Fundamentals of Probability: Lecture 14" (PDF).

wolfram.com

mathworld.wolfram.com

Weisstein, Eric. "Negative Binomial Distribution". Wolfram MathWorld. Wolfram Research. Retrieved 11 October 2020.

worldcat.org

search.worldcat.org

DeGroot, Morris H. (1986). Probability and Statistics (Second ed.). Addison-Wesley. pp. 258–259. ISBN 0-201-11366-X. LCCN 84006269. OCLC 10605205.
Grosse-Oetringhaus, Jan Fiete; Reygers, Klaus (2010-08-01). "Charged-particle multiplicity in proton–proton collisions". Journal of Physics G: Nuclear and Particle Physics. 37 (8): 083001. arXiv:0912.0023. doi:10.1088/0954-3899/37/8/083001. ISSN 0954-3899. S2CID 119233810.
Rybczyński, Maciej; Wilk, Grzegorz; Włodarczyk, Zbigniew (2019-05-31). "Intriguing properties of multiplicity distributions". Physical Review D. 99 (9): 094045. arXiv:1811.07197. Bibcode:2019PhRvD..99i4045R. doi:10.1103/PhysRevD.99.094045. ISSN 2470-0010.
Tarnowsky, Terence J.; Westfall, Gary D. (2013-07-09). "First study of the negative binomial distribution applied to higher moments of net-charge and net-proton multiplicity distributions". Physics Letters B. 724 (1): 51–55. arXiv:1210.8102. Bibcode:2013PhLB..724...51T. doi:10.1016/j.physletb.2013.05.064. ISSN 0370-2693.
Zborovský, I. (2018-10-10). "Three-component multiplicity distribution, oscillation of combinants and properties of clans in pp collisions at the LHC". The European Physical Journal C. 78 (10): 816. arXiv:1811.11230. Bibcode:2018EPJC...78..816Z. doi:10.1140/epjc/s10052-018-6287-x. ISSN 1434-6052.
Perez, Lucia A.; Malhotra, Sangeeta; Rhoads, James E.; Tilvi, Vithal (2021-01-07). "Void Probability Function of Simulated Surveys of High-redshift Ly α Emitters". The Astrophysical Journal. 906 (1): 58. arXiv:2011.03556. Bibcode:2021ApJ...906...58P. doi:10.3847/1538-4357/abc88b. ISSN 1538-4357.
Hurtado-Gil, Lluís; Martínez, Vicent J.; Arnalte-Mur, Pablo; Pons-Bordería, María-Jesús; Pareja-Flores, Cristóbal; Paredes, Silvestre (2017-05-01). "The best fit for the observed galaxy counts-in-cell distribution function". Astronomy & Astrophysics. 601: A40. arXiv:1703.01087. Bibcode:2017A&A...601A..40H. doi:10.1051/0004-6361/201629097. ISSN 0004-6361.
Elizalde, E.; Gaztanaga, E. (January 1992). "Void probability as a function of the void's shape and scale-invariant models". Monthly Notices of the Royal Astronomical Society. 254 (2): 247–256. doi:10.1093/mnras/254.2.247. hdl:2060/19910019799. ISSN 0035-8711.
Hameeda, M; Plastino, Angelo; Rocca, M C (2021-03-01). "Generalized Poisson distributions for systems with two-particle interactions". IOP SciNotes. 2 (1): 015003. Bibcode:2021IOPSN...2a5003H. doi:10.1088/2633-1357/abec9f. hdl:11336/181371. ISSN 2633-1357.
Giovannini, A. (June 1973). ""Thermal chaos" and "coherence" in multiplicity distributions at high energies". Il Nuovo Cimento A. 15 (3): 543–551. Bibcode:1973NCimA..15..543G. doi:10.1007/bf02734689. ISSN 0369-3546. S2CID 118805136.
Tezlaf, Scott V. (2023-09-29). "Significance of the negative binomial distribution in multiplicity phenomena". Physica Scripta. 98 (11). arXiv:2310.03776. Bibcode:2023PhyS...98k5310T. doi:10.1088/1402-4896/acfead. ISSN 0031-8949. S2CID 263300385.

zenodo.org

Greenwood, M.; Yule, G. U. (1920). "An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference of multiple attacks of disease or of repeated accidents". J R Stat Soc. 83 (2): 255–279. doi:10.2307/2341080. JSTOR 2341080.