Power law (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Power law" in English language version.

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academia.edu

Van Droogenbroeck, Frans J., 'Completion of the standard power-law model by including upper and lower probability bounds' (2023).

arxiv.org

Newman, M. E. J. (2005). "Power laws, Pareto distributions and Zipf's law". Contemporary Physics. 46 (5): 323–351. arXiv:cond-mat/0412004. Bibcode:2005ConPh..46..323N. doi:10.1080/00107510500052444. S2CID 202719165.
Clauset, Shalizi & Newman 2009. Clauset, A.; Shalizi, C. R.; Newman, M. E. J. (2009). "Power-Law Distributions in Empirical Data". SIAM Review. 51 (4): 661–703. arXiv:0706.1062. Bibcode:2009SIAMR..51..661C. doi:10.1137/070710111. S2CID 9155618.
Yu, Frank H.; Willson, Timothy; Frye, Stephen; Edwards, Aled; Bader, Gary D.; Isserlin, Ruth (2011-02-02). "The human genome and drug discovery after a decade. Roads (still) not taken". Nature. 470 (7333): 163–165. arXiv:1102.0448v2. Bibcode:2011Natur.470..163E. doi:10.1038/470163a. PMID 21307913. S2CID 4429387.
Corral, A, Osso, A, Llebot, JE (2010). "Scaling of tropical cyclone dissipation". Nature Physics. 6 (9): 693–696. arXiv:0910.0054. Bibcode:2010NatPh...6..693C. doi:10.1038/nphys1725. S2CID 67754747.
Martin, Charles H.; Mahoney, Michael W. (2018-10-02). "Implicit Self-Regularization in Deep Neural Networks: Evidence from Random Matrix Theory and Implications for Learning". arXiv:1810.01075 [cs.LG].
Gomez-Lievano, Andres; Patterson-Lomba, Oscar; Hausmann, Ricardo (2016-12-22). "Explaining the prevalence, scaling and variance of urban phenomena". Nature Human Behaviour. 1 (1). arXiv:1604.07876. doi:10.1038/s41562-016-0012. ISSN 2397-3374.
Glattfelder, J. B.; Dupuis, A.; Olsen, R. B. (2011-04-01). "Patterns in high-frequency FX data: discovery of 12 empirical scaling laws". Quantitative Finance. 11 (4): 599–614. arXiv:0809.1040. doi:10.1080/14697688.2010.481632. ISSN 1469-7688. S2CID 154979612.
Bolmatov, D.; Brazhkin, V. V.; Trachenko, K. (2013). "Thermodynamic behaviour of supercritical matter". Nature Communications. 4: 2331. arXiv:1303.3153. Bibcode:2013NatCo...4.2331B. doi:10.1038/ncomms3331. PMID 23949085. S2CID 205319155.
Jóhannesson, Gudlaugur; Björnsson, Gunnlaugur; Gudmundsson, Einar H. (2006). "Afterglow Light Curves and Broken Power Laws: A Statistical Study". The Astrophysical Journal. 640 (1): L5. arXiv:astro-ph/0602219. Bibcode:2006ApJ...640L...5J. doi:10.1086/503294. S2CID 16139116.
Caballero, Ethan; Gupta, Kshitij; Rish, Irina; Krueger, David (2023-04-24). "Broken Neural Scaling Laws". arXiv:2210.14891 [cs.LG].
Jeong, H.; Tombor, B. Albert; Oltvai, Z.N.; Barabasi, A.-L. (2000). "The large-scale organization of metabolic networks". Nature. 407 (6804): 651–654. arXiv:cond-mat/0010278. Bibcode:2000Natur.407..651J. doi:10.1038/35036627. PMID 11034217. S2CID 4426931.
Bauke, H. (2007). "Parameter estimation for power-law distributions by maximum likelihood methods". European Physical Journal B. 58 (2): 167–173. arXiv:0704.1867. Bibcode:2007EPJB...58..167B. doi:10.1140/epjb/e2007-00219-y. S2CID 119602829.
Laherrère & Sornette 1998. Laherrère, J.; Sornette, D. (1998). "Stretched exponential distributions in nature and economy: "fat tails" with characteristic scales". European Physical Journal B. 2 (4): 525–539. arXiv:cond-mat/9801293. Bibcode:1998EPJB....2..525L. doi:10.1007/s100510050276. S2CID 119467988.

bactra.org

"So You Think You Have a Power Law — Well Isn't That Special?". bactra.org. Retrieved 27 March 2018.

books.google.com

Curtis, Vickie (2018-04-20). Online Citizen Science and the Widening of Academia: Distributed Engagement with Research and Knowledge Production. Springer. ISBN 978-3-319-77664-4.
Croteau, David; Hoynes, William (2013-11-06). Media/Society: Industries, Images, and Audiences. SAGE Publications. ISBN 978-1-4833-2355-8.

colostate.edu

engr.colostate.edu

"Horton's Laws – Example". www.engr.colostate.edu. Retrieved 2018-09-30.

copernicus.org

acp.copernicus.org

DeWitt, Thomas D.; Garrett, Timothy J.; Rees, Karlie N.; Bois, Corey; Krueger, Steven K.; Ferlay, Nicolas (2024-01-05). "Climatologically invariant scale invariance seen in distributions of cloud horizontal sizes". Atmospheric Chemistry and Physics. 24 (1): 109–122. Bibcode:2024ACP....24..109D. doi:10.5194/acp-24-109-2024. ISSN 1680-7316.

doi.org

Newman, M. E. J. (2005). "Power laws, Pareto distributions and Zipf's law". Contemporary Physics. 46 (5): 323–351. arXiv:cond-mat/0412004. Bibcode:2005ConPh..46..323N. doi:10.1080/00107510500052444. S2CID 202719165.
DeWitt, Thomas D.; Garrett, Timothy J.; Rees, Karlie N.; Bois, Corey; Krueger, Steven K.; Ferlay, Nicolas (2024-01-05). "Climatologically invariant scale invariance seen in distributions of cloud horizontal sizes". Atmospheric Chemistry and Physics. 24 (1): 109–122. Bibcode:2024ACP....24..109D. doi:10.5194/acp-24-109-2024. ISSN 1680-7316.
Humphries NE, Queiroz N, Dyer JR, Pade NG, Musyl MK, Schaefer KM, Fuller DW, Brunnschweiler JM, Doyle TK, Houghton JD, Hays GC, Jones CS, Noble LR, Wearmouth VJ, Southall EJ, Sims DW (2010). "Environmental context explains Lévy and Brownian movement patterns of marine predators" (PDF). Nature. 465 (7301): 1066–1069. Bibcode:2010Natur.465.1066H. doi:10.1038/nature09116. PMID 20531470. S2CID 4316766.
Klaus A, Yu S, Plenz D (2011). Zochowski M (ed.). "Statistical Analyses Support Power Law Distributions Found in Neuronal Avalanches". PLOS ONE. 6 (5). e19779. Bibcode:2011PLoSO...619779K. doi:10.1371/journal.pone.0019779. PMC 3102672. PMID 21720544.
Cannavò, Flavio; Nunnari, Giuseppe (2016-03-01). "On a Possible Unified Scaling Law for Volcanic Eruption Durations". Scientific Reports. 6: 22289. Bibcode:2016NatSR...622289C. doi:10.1038/srep22289. ISSN 2045-2322. PMC 4772095. PMID 26926425.
Stevens, S. S. (1957). "On the psychophysical law". Psychological Review. 64 (3): 153–181. doi:10.1037/h0046162. PMID 13441853.
Staddon, J. E. R. (1978). "Theory of behavioral power functions". Psychological Review. 85 (4): 305–320. doi:10.1037/0033-295x.85.4.305. hdl:10161/6003.
Clauset, Shalizi & Newman 2009. Clauset, A.; Shalizi, C. R.; Newman, M. E. J. (2009). "Power-Law Distributions in Empirical Data". SIAM Review. 51 (4): 661–703. arXiv:0706.1062. Bibcode:2009SIAMR..51..661C. doi:10.1137/070710111. S2CID 9155618.
Taleb, Nassim Nicholas; Bar-Yam, Yaneer; Cirillo, Pasquale (2020-10-20). "On single point forecasts for fat-tailed variables". International Journal of Forecasting. 38 (2): 413–422. doi:10.1016/j.ijforecast.2020.08.008. ISSN 0169-2070. PMC 7572356. PMID 33100449. S2CID 220919883.
Simon 1955. Simon, H. A. (1955). "On a Class of Skew Distribution Functions". Biometrika. 42 (3/4): 425–440. doi:10.2307/2333389. JSTOR 2333389.
Andriani, P.; McKelvey, B. (2007). "Beyond Gaussian averages: redirecting international business and management research toward extreme events and power laws". Journal of International Business Studies. 38 (7): 1212–1230. doi:10.1057/palgrave.jibs.8400324. S2CID 512642.
Lacquaniti, Francesco; Terzuolo, Carlo; Viviani, Paolo (1983). "The law relating the kinematic and figural aspects of drawing movements". Acta Psychologica. 54 (1–3): 115–130. doi:10.1016/0001-6918(83)90027-6. PMID 6666647. S2CID 5144040.
Yu, Frank H.; Willson, Timothy; Frye, Stephen; Edwards, Aled; Bader, Gary D.; Isserlin, Ruth (2011-02-02). "The human genome and drug discovery after a decade. Roads (still) not taken". Nature. 470 (7333): 163–165. arXiv:1102.0448v2. Bibcode:2011Natur.470..163E. doi:10.1038/470163a. PMID 21307913. S2CID 4429387.
Saravia, Leonardo A.; Doyle, Santiago R.; Bond-Lamberty, Ben (2018-12-10). "Power laws and critical fragmentation in global forests". Scientific Reports. 8 (1): 17766. Bibcode:2018NatSR...817766S. doi:10.1038/s41598-018-36120-w. ISSN 2045-2322. PMC 6288094. PMID 30532065.
Machado L, Rossow, WB (1993). "Structural characteristics and radial properties of tropical cloud clusters". Monthly Weather Review. 121 (12): 3234–3260. doi:10.1175/1520-0493(1993)121<3234:scarpo>2.0.co;2.
Corral, A, Osso, A, Llebot, JE (2010). "Scaling of tropical cyclone dissipation". Nature Physics. 6 (9): 693–696. arXiv:0910.0054. Bibcode:2010NatPh...6..693C. doi:10.1038/nphys1725. S2CID 67754747.
Lorenz RD (2009). "Power Law of Dust Devil Diameters on Earth and Mars". Icarus. 203 (2): 683–684. Bibcode:2009Icar..203..683L. doi:10.1016/j.icarus.2009.06.029.
Li, W. (November 1999). "Random texts exhibit Zipf's-law-like word frequency distribution". IEEE Transactions on Information Theory. 38 (6): 1842–1845. doi:10.1109/18.165464. ISSN 0018-9448.
Reed, W. J.; Hughes, B. D. (2002). "From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature" (PDF). Phys Rev E. 66 (6): 067103. Bibcode:2002PhRvE..66f7103R. doi:10.1103/physreve.66.067103. PMID 12513446.
Hilbert, Martin (2013). "Scale-free power-laws as interaction between progress and diffusion". Complexity (Submitted manuscript). 19 (4): 56–65. Bibcode:2014Cmplx..19d..56H. doi:10.1002/cplx.21485.
Etro, F.; Stepanova, E. (2018). "Power-laws in art". Physica A: Statistical Mechanics and Its Applications. 506: 217–220. Bibcode:2018PhyA..506..217E. doi:10.1016/j.physa.2018.04.057. hdl:11382/522706. S2CID 126347599.
Fricke, Daniel; Lux, Thomas (2015-02-13). "On the distribution of links in the interbank network: evidence from the e-MID overnight money market" (PDF). Empirical Economics. 49 (4). Springer Science and Business Media LLC: 1463–1495. doi:10.1007/s00181-015-0919-x. ISSN 0377-7332. S2CID 154684126.
"The Granular Origins of Aggregate Fluctuations". Econometrica. 79 (3): 733–772. 2011. doi:10.3982/ecta8769. ISSN 0012-9682.
Gomez-Lievano, Andres; Patterson-Lomba, Oscar; Hausmann, Ricardo (2016-12-22). "Explaining the prevalence, scaling and variance of urban phenomena". Nature Human Behaviour. 1 (1). arXiv:1604.07876. doi:10.1038/s41562-016-0012. ISSN 2397-3374.
Bettencourt, Luís M. A.; Lobo, José; Helbing, Dirk; Kühnert, Christian; West, Geoffrey B. (2007-04-24). "Growth, innovation, scaling, and the pace of life in cities". Proceedings of the National Academy of Sciences. 104 (17): 7301–7306. Bibcode:2007PNAS..104.7301B. doi:10.1073/pnas.0610172104. ISSN 0027-8424. PMC 1852329. PMID 17438298.
Müller, Ulrich A.; Dacorogna, Michel M.; Olsen, Richard B.; Pictet, Olivier V.; Schwarz, Matthias; Morgenegg, Claude (1990-12-01). "Statistical study of foreign exchange rates, empirical evidence of a price change scaling law, and intraday analysis". Journal of Banking & Finance. 14 (6): 1189–1208. doi:10.1016/0378-4266(90)90009-Q. ISSN 0378-4266.
Lux, Thomas A.; Alfarano, Simone (2016). "Financial power laws: Empirical evidence, models, and mechanisms". Chaos, Solitons & Fractals. 88: 3–18. Bibcode:2016CSF....88....3L. doi:10.1016/j.chaos.2016.01.020.
Glattfelder, J. B.; Dupuis, A.; Olsen, R. B. (2011-04-01). "Patterns in high-frequency FX data: discovery of 12 empirical scaling laws". Quantitative Finance. 11 (4): 599–614. arXiv:0809.1040. doi:10.1080/14697688.2010.481632. ISSN 1469-7688. S2CID 154979612.
Bolmatov, D.; Brazhkin, V. V.; Trachenko, K. (2013). "Thermodynamic behaviour of supercritical matter". Nature Communications. 4: 2331. arXiv:1303.3153. Bibcode:2013NatCo...4.2331B. doi:10.1038/ncomms3331. PMID 23949085. S2CID 205319155.
Moret, M.; Zebende, G. (2007). "Amino acid hydrophobicity and accessible surface area". Physical Review E. 75 (1 Pt 1). 011920. Bibcode:2007PhRvE..75a1920M. doi:10.1103/PhysRevE.75.011920. PMID 17358197.
Mackay, D. M. (1963). "Psychophysics of perceived intensity:A theoretical basis for Fechner's and Stevens' laws". Science. 139 (3560): 1213–1216. Bibcode:1963Sci...139.1213M. doi:10.1126/science.139.3560.1213-a. S2CID 122501807.
Staddon, J. E. R. (1978). "Theory of behavioral power functions" (PDF). Psychological Review. 85 (4): 305–320. doi:10.1037/0033-295x.85.4.305. hdl:10161/6003.
Jóhannesson, Gudlaugur; Björnsson, Gunnlaugur; Gudmundsson, Einar H. (2006). "Afterglow Light Curves and Broken Power Laws: A Statistical Study". The Astrophysical Journal. 640 (1): L5. arXiv:astro-ph/0602219. Bibcode:2006ApJ...640L...5J. doi:10.1086/503294. S2CID 16139116.
Kendal, WS; Jørgensen, B (2011). "Taylor's power law and fluctuation scaling explained by a central-limit-like convergence". Phys. Rev. E. 83 (6): 066115. Bibcode:2011PhRvE..83f6115K. doi:10.1103/physreve.83.066115. PMID 21797449.
Kendal, WS; Jørgensen, BR (2011). "Tweedie convergence: a mathematical basis for Taylor's power law, 1/f noise and multifractality" (PDF). Phys. Rev. E. 84 (6): 066120. Bibcode:2011PhRvE..84f6120K. doi:10.1103/physreve.84.066120. PMID 22304168.
Diaz, F. J. (1999). "Identifying Tail Behavior by Means of Residual Quantile Functions". Journal of Computational and Graphical Statistics. 8 (3): 493–509. doi:10.2307/1390871. JSTOR 1390871.
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Jeong, H.; Tombor, B. Albert; Oltvai, Z.N.; Barabasi, A.-L. (2000). "The large-scale organization of metabolic networks". Nature. 407 (6804): 651–654. arXiv:cond-mat/0010278. Bibcode:2000Natur.407..651J. doi:10.1038/35036627. PMID 11034217. S2CID 4426931.
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Bauke, H. (2007). "Parameter estimation for power-law distributions by maximum likelihood methods". European Physical Journal B. 58 (2): 167–173. arXiv:0704.1867. Bibcode:2007EPJB...58..167B. doi:10.1140/epjb/e2007-00219-y. S2CID 119602829.
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Guerriero, Vincenzo; Vitale, Stefano; Ciarcia, Sabatino; Mazzoli, Stefano (2011-05-09). "Improved statistical multi-scale analysis of fractured reservoir analogues". Tectonophysics. 504 (1): 14–24. Bibcode:2011Tectp.504...14G. doi:10.1016/j.tecto.2011.01.003. ISSN 0040-1951.
Mitzenmacher 2004. Mitzenmacher, M. (2004). "A Brief History of Generative Models for Power Law and Lognormal Distributions" (PDF). Internet Mathematics. 1 (2): 226–251. doi:10.1080/15427951.2004.10129088. S2CID 1671059.
Laherrère & Sornette 1998. Laherrère, J.; Sornette, D. (1998). "Stretched exponential distributions in nature and economy: "fat tails" with characteristic scales". European Physical Journal B. 2 (4): 525–539. arXiv:cond-mat/9801293. Bibcode:1998EPJB....2..525L. doi:10.1007/s100510050276. S2CID 119467988.
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dx.doi.org

"The Granular Origins of Aggregate Fluctuations". Econometrica. 79 (3): 733–772. 2011. doi:10.3982/ecta8769. ISSN 0012-9682.

duke.edu

dukespace.lib.duke.edu

Staddon, J. E. R. (1978). "Theory of behavioral power functions" (PDF). Psychological Review. 85 (4): 305–320. doi:10.1037/0033-295x.85.4.305. hdl:10161/6003.

escholarship.org

Hilbert, Martin (2013). "Scale-free power-laws as interaction between progress and diffusion". Complexity (Submitted manuscript). 19 (4): 56–65. Bibcode:2014Cmplx..19d..56H. doi:10.1002/cplx.21485.

gladwell.com

Malcolm Gladwell (February 13, 2006). "Million-Dollar Murray". Archived from the original on 2015-03-18. Retrieved 2015-06-14.

handle.net

hdl.handle.net

Staddon, J. E. R. (1978). "Theory of behavioral power functions". Psychological Review. 85 (4): 305–320. doi:10.1037/0033-295x.85.4.305. hdl:10161/6003.
Etro, F.; Stepanova, E. (2018). "Power-laws in art". Physica A: Statistical Mechanics and Its Applications. 506: 217–220. Bibcode:2018PhyA..506..217E. doi:10.1016/j.physa.2018.04.057. hdl:11382/522706. S2CID 126347599.
Staddon, J. E. R. (1978). "Theory of behavioral power functions" (PDF). Psychological Review. 85 (4): 305–320. doi:10.1037/0033-295x.85.4.305. hdl:10161/6003.
Csorgo, S.; Viharos, L. (1992). "Confidence bands for percentile residual lifetimes" (PDF). Journal of Statistical Planning and Inference. 30 (3): 327–337. doi:10.1016/0378-3758(92)90159-p. hdl:2027.42/30190.

harvard.edu

ui.adsabs.harvard.edu

Newman, M. E. J. (2005). "Power laws, Pareto distributions and Zipf's law". Contemporary Physics. 46 (5): 323–351. arXiv:cond-mat/0412004. Bibcode:2005ConPh..46..323N. doi:10.1080/00107510500052444. S2CID 202719165.
DeWitt, Thomas D.; Garrett, Timothy J.; Rees, Karlie N.; Bois, Corey; Krueger, Steven K.; Ferlay, Nicolas (2024-01-05). "Climatologically invariant scale invariance seen in distributions of cloud horizontal sizes". Atmospheric Chemistry and Physics. 24 (1): 109–122. Bibcode:2024ACP....24..109D. doi:10.5194/acp-24-109-2024. ISSN 1680-7316.
Humphries NE, Queiroz N, Dyer JR, Pade NG, Musyl MK, Schaefer KM, Fuller DW, Brunnschweiler JM, Doyle TK, Houghton JD, Hays GC, Jones CS, Noble LR, Wearmouth VJ, Southall EJ, Sims DW (2010). "Environmental context explains Lévy and Brownian movement patterns of marine predators" (PDF). Nature. 465 (7301): 1066–1069. Bibcode:2010Natur.465.1066H. doi:10.1038/nature09116. PMID 20531470. S2CID 4316766.
Klaus A, Yu S, Plenz D (2011). Zochowski M (ed.). "Statistical Analyses Support Power Law Distributions Found in Neuronal Avalanches". PLOS ONE. 6 (5). e19779. Bibcode:2011PLoSO...619779K. doi:10.1371/journal.pone.0019779. PMC 3102672. PMID 21720544.
Cannavò, Flavio; Nunnari, Giuseppe (2016-03-01). "On a Possible Unified Scaling Law for Volcanic Eruption Durations". Scientific Reports. 6: 22289. Bibcode:2016NatSR...622289C. doi:10.1038/srep22289. ISSN 2045-2322. PMC 4772095. PMID 26926425.
Clauset, Shalizi & Newman 2009. Clauset, A.; Shalizi, C. R.; Newman, M. E. J. (2009). "Power-Law Distributions in Empirical Data". SIAM Review. 51 (4): 661–703. arXiv:0706.1062. Bibcode:2009SIAMR..51..661C. doi:10.1137/070710111. S2CID 9155618.
Yu, Frank H.; Willson, Timothy; Frye, Stephen; Edwards, Aled; Bader, Gary D.; Isserlin, Ruth (2011-02-02). "The human genome and drug discovery after a decade. Roads (still) not taken". Nature. 470 (7333): 163–165. arXiv:1102.0448v2. Bibcode:2011Natur.470..163E. doi:10.1038/470163a. PMID 21307913. S2CID 4429387.
Saravia, Leonardo A.; Doyle, Santiago R.; Bond-Lamberty, Ben (2018-12-10). "Power laws and critical fragmentation in global forests". Scientific Reports. 8 (1): 17766. Bibcode:2018NatSR...817766S. doi:10.1038/s41598-018-36120-w. ISSN 2045-2322. PMC 6288094. PMID 30532065.
Corral, A, Osso, A, Llebot, JE (2010). "Scaling of tropical cyclone dissipation". Nature Physics. 6 (9): 693–696. arXiv:0910.0054. Bibcode:2010NatPh...6..693C. doi:10.1038/nphys1725. S2CID 67754747.
Lorenz RD (2009). "Power Law of Dust Devil Diameters on Earth and Mars". Icarus. 203 (2): 683–684. Bibcode:2009Icar..203..683L. doi:10.1016/j.icarus.2009.06.029.
Reed, W. J.; Hughes, B. D. (2002). "From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature" (PDF). Phys Rev E. 66 (6): 067103. Bibcode:2002PhRvE..66f7103R. doi:10.1103/physreve.66.067103. PMID 12513446.
Hilbert, Martin (2013). "Scale-free power-laws as interaction between progress and diffusion". Complexity (Submitted manuscript). 19 (4): 56–65. Bibcode:2014Cmplx..19d..56H. doi:10.1002/cplx.21485.
Etro, F.; Stepanova, E. (2018). "Power-laws in art". Physica A: Statistical Mechanics and Its Applications. 506: 217–220. Bibcode:2018PhyA..506..217E. doi:10.1016/j.physa.2018.04.057. hdl:11382/522706. S2CID 126347599.
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