Log-normal distribution (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Log-normal distribution" in English language version.

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Johnson, Norman L.; Kotz, Samuel; Balakrishnan, N. (1994), "14: Lognormal Distributions", Continuous univariate distributions. Vol. 1, Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics (2nd ed.), New York: John Wiley & Sons, ISBN 978-0-471-58495-7, MR 1299979

amstat.org

jse.amstat.org

Olsson, Ulf. "Confidence intervals for the mean of a log-normal distribution." Journal of Statistics Education 13.1 (2005).pdf html

archive.org

Oosterbaan, R.J. (1994). "6: Frequency and Regression Analysis" (PDF). In Ritzema, H.P. (ed.). Drainage Principles and Applications, Publication 16. Wageningen, The Netherlands: International Institute for Land Reclamation and Improvement (ILRI). pp. 175–224. ISBN 978-90-70754-33-4.

archives-ouvertes.fr

hal.archives-ouvertes.fr

Asmussen, S.; Rojas-Nandayapa, L. (2008). "Asymptotics of Sums of Lognormal Random Variables with Gaussian Copula" (PDF). Statistics and Probability Letters. 78 (16): 2709–2714. doi:10.1016/j.spl.2008.03.035.

arxiv.org

Norton, Matthew; Khokhlov, Valentyn; Uryasev, Stan (2019). "Calculating CVaR and bPOE for common probability distributions with application to portfolio optimization and density estimation" (PDF). Annals of Operations Research. 299 (1–2). Springer: 1281–1315. arXiv:1811.11301. doi:10.1007/s10479-019-03373-1. S2CID 254231768. Archived (PDF) from the original on 2021-04-18. Retrieved 2023-02-27 – via stonybrook.edu.
Das, Abhranil (2021). "A method to integrate and classify normal distributions". Journal of Vision. 21 (10): 1. arXiv:2012.14331. doi:10.1167/jov.21.10.1. PMC 8419883. PMID 34468706.
Botev, Z. I.; L'Ecuyer, P. (2017). "Accurate computation of the right tail of the sum of dependent log-normal variates". 2017 Winter Simulation Conference (WSC), 3rd–6th Dec 2017. Las Vegas, NV, USA: IEEE. pp. 1880–1890. arXiv:1705.03196. doi:10.1109/WSC.2017.8247924. ISBN 978-1-5386-3428-8.
Asmussen, A.; Goffard, P.-O.; Laub, P. J. (2016). "Orthonormal polynomial expansions and lognormal sum densities". arXiv:1601.01763v1 [math.PR].
Wang, WenBin; Wu, ZiNiu; Wang, ChunFeng; Hu, RuiFeng (2013). "Modelling the spreading rate of controlled communicable epidemics through an entropy-based thermodynamic model". Science China Physics, Mechanics and Astronomy. 56 (11): 2143–2150. arXiv:1304.5603. Bibcode:2013SCPMA..56.2143W. doi:10.1007/s11433-013-5321-0. ISSN 1674-7348. PMC 7111546. PMID 32288765.
Wataru, Souma (2002-02-22). "Physics of Personal Income". In Takayasu, Hideki (ed.). Empirical Science of Financial Fluctuations: The Advent of Econophysics. Springer. arXiv:cond-mat/0202388. doi:10.1007/978-4-431-66993-7.
Thelwall, Mike; Wilson, Paul (2014). "Regression for citation data: An evaluation of different methods". Journal of Informetrics. 8 (4): 963–971. arXiv:1510.08877. doi:10.1016/j.joi.2014.09.011. S2CID 8338485.
Sheridan, Paul; Onodera, Taku (2020). "A Preferential Attachment Paradox: How Preferential Attachment Combines with Growth to Produce Networks with Log-normal In-degree Distributions". Scientific Reports. 8 (1): 2811. arXiv:1703.06645. doi:10.1038/s41598-018-21133-2. PMC 5809396. PMID 29434232.
Gros, C; Kaczor, G.; Markovic, D (2012). "Neuropsychological constraints to human data production on a global scale". The European Physical Journal B. 85 (28): 28. arXiv:1111.6849. Bibcode:2012EPJB...85...28G. doi:10.1140/epjb/e2011-20581-3. S2CID 17404692.
Alamsar, Mohammed; Parisis, George; Clegg, Richard; Zakhleniuk, Nickolay (2019). "On the Distribution of Traffic Volumes in the Internet and its Implications". arXiv:1902.03853 [cs.NI].

au.dk

data.imf.au.dk

S. Asmussen, J.L. Jensen, L. Rojas-Nandayapa (2016). "On the Laplace transform of the Lognormal distribution", Methodology and Computing in Applied Probability 18 (2), 441-458. Thiele report 6 (13).

books.google.com

Mandelbrot, Benoit (2004). The (mis-)Behaviour of Markets. Basic Books. ISBN 9780465043552.

cambridge.org

Leipnik, Roy B. (January 1991). "On Lognormal Random Variables: I – The Characteristic Function" (PDF). Journal of the Australian Mathematical Society, Series B. 32 (3): 327–347. doi:10.1017/S0334270000006901.

casact.org

Halliwell, Leigh (2015). The Lognormal Random Multivariate (PDF). Casualty Actuarial Society E-Forum, Spring 2015. Arlington, VA. Archived (PDF) from the original on 2015-09-30.

cbs.nl

isi.cbs.nl

Tarmast, Ghasem (2001). Multivariate Log–Normal Distribution (PDF). ISI Proceedings: 53rd Session. Seoul. Archived (PDF) from the original on 2013-07-19.

doi.org

Norton, Matthew; Khokhlov, Valentyn; Uryasev, Stan (2019). "Calculating CVaR and bPOE for common probability distributions with application to portfolio optimization and density estimation" (PDF). Annals of Operations Research. 299 (1–2). Springer: 1281–1315. arXiv:1811.11301. doi:10.1007/s10479-019-03373-1. S2CID 254231768. Archived (PDF) from the original on 2021-04-18. Retrieved 2023-02-27 – via stonybrook.edu.
Park, Sung Y.; Bera, Anil K. (2009). "Maximum entropy autoregressive conditional heteroskedasticity model" (PDF). Journal of Econometrics. 150 (2): 219–230, esp. Table 1, p. 221. CiteSeerX 10.1.1.511.9750. doi:10.1016/j.jeconom.2008.12.014. Archived from the original (PDF) on 2016-03-07. Retrieved 2011-06-02.
Heyde, CC. (2010), "On a Property of the Lognormal Distribution", Journal of the Royal Statistical Society, Series B, vol. 25, no. 2, pp. 392–393, doi:10.1007/978-1-4419-5823-5_6, ISBN 978-1-4419-5822-8
Holgate, P. (1989). "The lognormal characteristic function, vol. 18, pp. 4539–4548, 1989". Communications in Statistics - Theory and Methods. 18 (12): 4539–4548. doi:10.1080/03610928908830173.
Barakat, R. (1976). "Sums of independent lognormally distributed random variables". Journal of the Optical Society of America. 66 (3): 211–216. Bibcode:1976JOSA...66..211B. doi:10.1364/JOSA.66.000211.
Barouch, E.; Kaufman, GM.; Glasser, ML. (1986). "On sums of lognormal random variables" (PDF). Studies in Applied Mathematics. 75 (1): 37–55. doi:10.1002/sapm198675137. hdl:1721.1/48703.
Leipnik, Roy B. (January 1991). "On Lognormal Random Variables: I – The Characteristic Function" (PDF). Journal of the Australian Mathematical Society, Series B. 32 (3): 327–347. doi:10.1017/S0334270000006901.
Das, Abhranil (2021). "A method to integrate and classify normal distributions". Journal of Vision. 21 (10): 1. arXiv:2012.14331. doi:10.1167/jov.21.10.1. PMC 8419883. PMID 34468706.
Limpert, E; Stahel, W; Abbt, M (2001). "Lognormal distributions across the sciences: keys and clues". BioScience. 51 (5): 341–352. doi:10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2.
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Daly, Leslie E.; Bourke, Geoffrey Joseph (2000). Interpretation and Uses of Medical Statistics. Vol. 46 (5th ed.). Oxford, UK: Wiley-Blackwell. p. 89. doi:10.1002/9780470696750. ISBN 978-0-632-04763-5. PMC 1059583; {{cite book}}: |journal= ignored (help) print edition. Online eBook ISBN 9780470696750
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Limpert, E.; Stahel, W. A.; Abbt, M. (2001). "Log-normal distributions across the sciences: Keys and clues". BioScience. 51 (5): 341–352. doi:10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2.
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Thorin, Olof (1977). "On the infinite divisibility of the lognormal distribution". Scandinavian Actuarial Journal. 1977 (3): 121–148. doi:10.1080/03461238.1977.10405635. ISSN 0346-1238.
Gao, Xin (2009). "Asymptotic Behavior of Tail Density for Sum of Correlated Lognormal Variables". International Journal of Mathematics and Mathematical Sciences. 2009: 1–28. doi:10.1155/2009/630857.
Asmussen, S.; Rojas-Nandayapa, L. (2008). "Asymptotics of Sums of Lognormal Random Variables with Gaussian Copula" (PDF). Statistics and Probability Letters. 78 (16): 2709–2714. doi:10.1016/j.spl.2008.03.035.
Marlow, NA. (Nov 1967). "A normal limit theorem for power sums of independent normal random variables". Bell System Technical Journal. 46 (9): 2081–2089. doi:10.1002/j.1538-7305.1967.tb04244.x.
Botev, Z. I.; L'Ecuyer, P. (2017). "Accurate computation of the right tail of the sum of dependent log-normal variates". 2017 Winter Simulation Conference (WSC), 3rd–6th Dec 2017. Las Vegas, NV, USA: IEEE. pp. 1880–1890. arXiv:1705.03196. doi:10.1109/WSC.2017.8247924. ISBN 978-1-5386-3428-8.
Sangal, B.; Biswas, A. (1970). "The 3-Parameter Lognormal Distribution Applications in Hydrology". Water Resources Research. 6 (2): 505–515. doi:10.1029/WR006i002p00505.
Johnson, N. L. (1949). "Systems of Frequency Curves Generated by Methods of Translation". Biometrika. 36 (1/2): 149–176. doi:10.2307/2332539. JSTOR 2332539. PMID 18132090.
Swamee, P. K. (2002). "Near Lognormal Distribution". Journal of Hydrologic Engineering. 7 (6): 441–444. doi:10.1061/(ASCE)1084-0699(2002)7:6(441).
Wu, Ziniu; Li, Juan; Bai, Chenyuan (2017). "Scaling Relations of Lognormal Type Growth Process with an Extremal Principle of Entropy". Entropy. 19 (56): 1–14. Bibcode:2017Entrp..19...56W. doi:10.3390/e19020056.
Wu, Zi-Niu (2003). "Prediction of the size distribution of secondary ejected droplets by crown splashing of droplets impinging on a solid wall". Probabilistic Engineering Mechanics. 18 (3): 241–249. Bibcode:2003PEngM..18..241W. doi:10.1016/S0266-8920(03)00028-6.
Wang, WenBin; Wu, ZiNiu; Wang, ChunFeng; Hu, RuiFeng (2013). "Modelling the spreading rate of controlled communicable epidemics through an entropy-based thermodynamic model". Science China Physics, Mechanics and Astronomy. 56 (11): 2143–2150. arXiv:1304.5603. Bibcode:2013SCPMA..56.2143W. doi:10.1007/s11433-013-5321-0. ISSN 1674-7348. PMC 7111546. PMID 32288765.
Bloetscher, Frederick (2019). "Using predictive Bayesian Monte Carlo- Markov Chain methods to provide a probabilistic solution for the Drake equation". Acta Astronautica. 155: 118–130. Bibcode:2019AcAau.155..118B. doi:10.1016/j.actaastro.2018.11.033. S2CID 117598888.
Limpert, Eckhard; Stahel, Werner A.; Abbt, Markus (2001). "Log-normal Distributions across the Sciences: Keys and Clues". BioScience. 51 (5): 341. doi:10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2. ISSN 0006-3568.
Buzsáki, György; Mizuseki, Kenji (2017-01-06). "The log-dynamic brain: how skewed distributions affect network operations". Nature Reviews. Neuroscience. 15 (4): 264–278. doi:10.1038/nrn3687. ISSN 1471-003X. PMC 4051294. PMID 24569488.
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Makuch, Robert W.; D.H. Freeman; M.F. Johnson (1979). "Justification for the lognormal distribution as a model for blood pressure". Journal of Chronic Diseases. 32 (3): 245–250. doi:10.1016/0021-9681(79)90070-5. PMID 429469.
Lacey, L. F.; Keene, O. N.; Pritchard, J. F.; Bye, A. (1997-01-01). "Common noncompartmental pharmacokinetic variables: are they normally or log-normally distributed?". Journal of Biopharmaceutical Statistics. 7 (1): 171–178. doi:10.1080/10543409708835177. ISSN 1054-3406. PMID 9056596.
Mizuseki, Kenji; Buzsáki, György (2013-09-12). "Preconfigured, skewed distribution of firing rates in the hippocampus and entorhinal cortex". Cell Reports. 4 (5): 1010–1021. doi:10.1016/j.celrep.2013.07.039. ISSN 2211-1247. PMC 3804159. PMID 23994479.
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Morales-Gregorio, Aitor; van Meegen, Alexander; van Albada, Sacha (2023). "Ubiquitous lognormal distribution of neuron densities in mammalian cerebral cortex". Cerebral Cortex. 33 (16): 9439–9449. doi:10.1093/cercor/bhad160. PMC 10438924. PMID 37409647.
Polizzi, Stefano; Laperrousaz, Bastien; Perez-Reche, Francisco J; Nicolini, Franck E; Satta, Véronique Maguer; Arneodo, Alain; Argoul, Françoise (2018-05-29). "A minimal rupture cascade model for living cell plasticity". New Journal of Physics. 20 (5): 053057. Bibcode:2018NJPh...20e3057P. doi:10.1088/1367-2630/aac3c7. hdl:2164/10561. ISSN 1367-2630.
Ahrens, L. H. (1954-02-01). "The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary)". Geochimica et Cosmochimica Acta. 5 (2): 49–73. Bibcode:1954GeCoA...5...49A. doi:10.1016/0016-7037(54)90040-X. ISSN 0016-7037.
Wataru, Souma (2002-02-22). "Physics of Personal Income". In Takayasu, Hideki (ed.). Empirical Science of Financial Fluctuations: The Advent of Econophysics. Springer. arXiv:cond-mat/0202388. doi:10.1007/978-4-431-66993-7.
Black, F.; Scholes, M. (1973). "The Pricing of Options and Corporate Liabilities". Journal of Political Economy. 81 (3): 637. doi:10.1086/260062. S2CID 154552078.
Thelwall, Mike; Wilson, Paul (2014). "Regression for citation data: An evaluation of different methods". Journal of Informetrics. 8 (4): 963–971. arXiv:1510.08877. doi:10.1016/j.joi.2014.09.011. S2CID 8338485.
Sheridan, Paul; Onodera, Taku (2020). "A Preferential Attachment Paradox: How Preferential Attachment Combines with Growth to Produce Networks with Log-normal In-degree Distributions". Scientific Reports. 8 (1): 2811. arXiv:1703.06645. doi:10.1038/s41598-018-21133-2. PMC 5809396. PMID 29434232.
Eeckhout, Jan (2004). "Gibrat's Law for (All) Cities". American Economic Review. 94 (5): 1429–1451. doi:10.1257/0002828043052303. JSTOR 3592829 – via JSTOR.
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Dexter, A. R.; Tanner, D. W. (July 1972). "Packing Densities of Mixtures of Spheres with Log-normal Size Distributions". Nature Physical Science. 238 (80): 31–32. Bibcode:1972NPhS..238...31D. doi:10.1038/physci238031a0. ISSN 2058-1106.
Gros, C; Kaczor, G.; Markovic, D (2012). "Neuropsychological constraints to human data production on a global scale". The European Physical Journal B. 85 (28): 28. arXiv:1111.6849. Bibcode:2012EPJB...85...28G. doi:10.1140/epjb/e2011-20581-3. S2CID 17404692.
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dx.doi.org

Ahrens, L. H. (1954-02-01). "The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary)". Geochimica et Cosmochimica Acta. 5 (2): 49–73. Bibcode:1954GeCoA...5...49A. doi:10.1016/0016-7037(54)90040-X. ISSN 0016-7037.

handle.net

hdl.handle.net

Barouch, E.; Kaufman, GM.; Glasser, ML. (1986). "On sums of lognormal random variables" (PDF). Studies in Applied Mathematics. 75 (1): 37–55. doi:10.1002/sapm198675137. hdl:1721.1/48703.
Polizzi, Stefano; Laperrousaz, Bastien; Perez-Reche, Francisco J; Nicolini, Franck E; Satta, Véronique Maguer; Arneodo, Alain; Argoul, Françoise (2018-05-29). "A minimal rupture cascade model for living cell plasticity". New Journal of Physics. 20 (5): 053057. Bibcode:2018NJPh...20e3057P. doi:10.1088/1367-2630/aac3c7. hdl:2164/10561. ISSN 1367-2630.

harvard.edu

ui.adsabs.harvard.edu

Barakat, R. (1976). "Sums of independent lognormally distributed random variables". Journal of the Optical Society of America. 66 (3): 211–216. Bibcode:1976JOSA...66..211B. doi:10.1364/JOSA.66.000211.
Wu, Ziniu; Li, Juan; Bai, Chenyuan (2017). "Scaling Relations of Lognormal Type Growth Process with an Extremal Principle of Entropy". Entropy. 19 (56): 1–14. Bibcode:2017Entrp..19...56W. doi:10.3390/e19020056.
Wu, Zi-Niu (2003). "Prediction of the size distribution of secondary ejected droplets by crown splashing of droplets impinging on a solid wall". Probabilistic Engineering Mechanics. 18 (3): 241–249. Bibcode:2003PEngM..18..241W. doi:10.1016/S0266-8920(03)00028-6.
Wang, WenBin; Wu, ZiNiu; Wang, ChunFeng; Hu, RuiFeng (2013). "Modelling the spreading rate of controlled communicable epidemics through an entropy-based thermodynamic model". Science China Physics, Mechanics and Astronomy. 56 (11): 2143–2150. arXiv:1304.5603. Bibcode:2013SCPMA..56.2143W. doi:10.1007/s11433-013-5321-0. ISSN 1674-7348. PMC 7111546. PMID 32288765.
Bloetscher, Frederick (2019). "Using predictive Bayesian Monte Carlo- Markov Chain methods to provide a probabilistic solution for the Drake equation". Acta Astronautica. 155: 118–130. Bibcode:2019AcAau.155..118B. doi:10.1016/j.actaastro.2018.11.033. S2CID 117598888.
Polizzi, Stefano; Laperrousaz, Bastien; Perez-Reche, Francisco J; Nicolini, Franck E; Satta, Véronique Maguer; Arneodo, Alain; Argoul, Françoise (2018-05-29). "A minimal rupture cascade model for living cell plasticity". New Journal of Physics. 20 (5): 053057. Bibcode:2018NJPh...20e3057P. doi:10.1088/1367-2630/aac3c7. hdl:2164/10561. ISSN 1367-2630.
Ahrens, L. H. (1954-02-01). "The lognormal distribution of the elements (A fundamental law of geochemistry and its subsidiary)". Geochimica et Cosmochimica Acta. 5 (2): 49–73. Bibcode:1954GeCoA...5...49A. doi:10.1016/0016-7037(54)90040-X. ISSN 0016-7037.
Dexter, A. R.; Tanner, D. W. (July 1972). "Packing Densities of Mixtures of Spheres with Log-normal Size Distributions". Nature Physical Science. 238 (80): 31–32. Bibcode:1972NPhS..238...31D. doi:10.1038/physci238031a0. ISSN 2058-1106.
Gros, C; Kaczor, G.; Markovic, D (2012). "Neuropsychological constraints to human data production on a global scale". The European Physical Journal B. 85 (28): 28. arXiv:1111.6849. Bibcode:2012EPJB...85...28G. doi:10.1140/epjb/e2011-20581-3. S2CID 17404692.

ict.ac.cn

mldm.ict.ac.cn

Yin, Peifeng; Luo, Ping; Lee, Wang-Chien; Wang, Min (2013). Silence is also evidence: interpreting dwell time for recommendation from psychological perspective. ACM International Conference on KDD.

iop.org

iopscience.iop.org

Polizzi, Stefano; Laperrousaz, Bastien; Perez-Reche, Francisco J; Nicolini, Franck E; Satta, Véronique Maguer; Arneodo, Alain; Argoul, Françoise (2018-05-29). "A minimal rupture cascade model for living cell plasticity". New Journal of Physics. 20 (5): 053057. Bibcode:2018NJPh...20e3057P. doi:10.1088/1367-2630/aac3c7. hdl:2164/10561. ISSN 1367-2630.

jstor.org

Kirkwood, Thomas BL (Dec 1979). "Geometric means and measures of dispersion". Biometrics. 35 (4): 908–9. JSTOR 2530139.
Johnson, N. L. (1949). "Systems of Frequency Curves Generated by Methods of Translation". Biometrika. 36 (1/2): 149–176. doi:10.2307/2332539. JSTOR 2332539. PMID 18132090.
Sutton, John (Mar 1997). "Gibrat's Legacy". Journal of Economic Literature. 32 (1): 40–59. JSTOR 2729692.
Eeckhout, Jan (2004). "Gibrat's Law for (All) Cities". American Economic Review. 94 (5): 1429–1451. doi:10.1257/0002828043052303. JSTOR 3592829 – via JSTOR.

mit.edu

dspace.mit.edu

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