Cauchy distribution (English Wikipedia)

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

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18doi.org

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archive.org

Feller, William (1971). An Introduction to Probability Theory and Its Applications, Volume II (2 ed.). New York: John Wiley & Sons Inc. pp. 704. ISBN 978-0-471-25709-7.
Riley, Ken F.; Hobson, Michael P.; Bence, Stephen J. (2006). Mathematical Methods for Physics and Engineering (3 ed.). Cambridge, UK: Cambridge University Press. pp. 1333. ISBN 978-0-511-16842-0.
Balakrishnan, N.; Nevrozov, V. B. (2003). A Primer on Statistical Distributions (1 ed.). Hoboken, New Jersey: John Wiley & Sons Inc. pp. 305. ISBN 0-471-42798-5.

archive.today

McCullagh, P., "Conditional inference and Cauchy models", Biometrika, volume 79 (1992), pages 247–259. PDF Archived 2010-06-10 at the Wayback Machine from McCullagh's homepage.

arxiv.org

Pillai N.; Meng, X.L. (2016). "An unexpected encounter with Cauchy and Lévy". The Annals of Statistics. 44 (5): 2089–2097. arXiv:1505.01957. doi:10.1214/15-AOS1407. S2CID 31582370.
Frederic, Chyzak; Nielsen, Frank (2019). "A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions". arXiv:1905.10965 [cs.IT].
Nielsen, Frank; Okamura, Kazuki (2023). "On f-Divergences Between Cauchy Distributions". IEEE Transactions on Information Theory. 69 (5): 3150–3171. arXiv:2101.12459. doi:10.1109/TIT.2022.3231645. S2CID 231728407.
Tong Liu (2012), An intermediate distribution between Gaussian and Cauchy distributions. https://arxiv.org/pdf/1208.5109.pdf Archived 2020-06-24 at the Wayback Machine

bath.ac.uk

maths.bath.ac.uk

Kyprianou, Andreas (2009). Lévy processes and continuous-state branching processes:part I (PDF). p. 11. Archived (PDF) from the original on 2016-03-03. Retrieved 2016-05-04.

doi.org

Li, Rui; Nadarajah, Saralees (2020-03-01). "A review of Student's t distribution and its generalizations" (PDF). Empirical Economics. 58 (3): 1461–1490. doi:10.1007/s00181-018-1570-0. ISSN 1435-8921.
Pillai N.; Meng, X.L. (2016). "An unexpected encounter with Cauchy and Lévy". The Annals of Statistics. 44 (5): 2089–2097. arXiv:1505.01957. doi:10.1214/15-AOS1407. S2CID 31582370.
Knight, Franck B. (1976). "A characterization of the Cauchy type". Proceedings of the American Mathematical Society. 55 (1): 130–135. doi:10.2307/2041858. JSTOR 2041858.
Nielsen, Frank; Okamura, Kazuki (2023). "On f-Divergences Between Cauchy Distributions". IEEE Transactions on Information Theory. 69 (5): 3150–3171. arXiv:2101.12459. doi:10.1109/TIT.2022.3231645. S2CID 231728407.
Vasicek, Oldrich (1976). "A Test for Normality Based on Sample Entropy". Journal of the Royal Statistical Society, Series B. 38 (1): 54–59. doi:10.1111/j.2517-6161.1976.tb01566.x.
Park, Sung Y.; Bera, Anil K. (2009). "Maximum entropy autoregressive conditional heteroskedasticity model" (PDF). Journal of Econometrics. 150 (2). Elsevier: 219–230. doi:10.1016/j.jeconom.2008.12.014. Archived from the original (PDF) on 2011-09-30. Retrieved 2011-06-02.
Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.
Lemons, Don S. (2002), "An Introduction to Stochastic Processes in Physics", American Journal of Physics, 71 (2), The Johns Hopkins University Press: 35, Bibcode:2003AmJPh..71..191L, doi:10.1119/1.1526134, ISBN 0-8018-6866-1
Cane, Gwenda J. (1974). "Linear Estimation of Parameters of the Cauchy Distribution Based on Sample Quantiles". Journal of the American Statistical Association. 69 (345): 243–245. doi:10.1080/01621459.1974.10480163. JSTOR 2285535.
Zhang, Jin (2010). "A Highly Efficient L-estimator for the Location Parameter of the Cauchy Distribution". Computational Statistics. 25 (1): 97–105. doi:10.1007/s00180-009-0163-y. S2CID 123586208.
Rothenberg, Thomas J.; Fisher, Franklin, M.; Tilanus, C.B. (1964). "A note on estimation from a Cauchy sample". Journal of the American Statistical Association. 59 (306): 460–463. doi:10.1080/01621459.1964.10482170.{{cite journal}}: CS1 maint: multiple names: authors list (link)
Bloch, Daniel (1966). "A note on the estimation of the location parameters of the Cauchy distribution". Journal of the American Statistical Association. 61 (316): 852–855. doi:10.1080/01621459.1966.10480912. JSTOR 2282794.
Ferguson, Thomas S. (1978). "Maximum Likelihood Estimates of the Parameters of the Cauchy Distribution for Samples of Size 3 and 4". Journal of the American Statistical Association. 73 (361): 211–213. doi:10.1080/01621459.1978.10480031. JSTOR 2286549.
Cohen Freue, Gabriella V. (2007). "The Pitman estimator of the Cauchy location parameter" (PDF). Journal of Statistical Planning and Inference. 137 (6): 1901. doi:10.1016/j.jspi.2006.05.002. Archived from the original (PDF) on 2011-08-16.
Barnett, V. D. (1966). "Order Statistics Estimators of the Location of the Cauchy Distribution". Journal of the American Statistical Association. 61 (316): 1205–1218. doi:10.1080/01621459.1966.10482205. JSTOR 2283210.
Ferguson, Thomas S. (1962). "A Representation of the Symmetric Bivariate Cauchy Distribution". The Annals of Mathematical Statistics. 33 (4): 1256–1266. doi:10.1214/aoms/1177704357. JSTOR 2237984. Retrieved 2017-01-07.
White, J.S. (December 1958). "The Limiting Distribution of the Serial Correlation Coefficient in the Explosive Case". The Annals of Mathematical Statistics. 29 (4): 1188–1197. doi:10.1214/aoms/1177706450.
Gull, S.F. (1988) Bayesian Inductive Inference and Maximum Entropy. Kluwer Academic Publishers, Berlin. https://doi.org/10.1007/978-94-009-3049-0_4 Archived 2022-01-25 at the Wayback Machine

ethz.ch

research-collection.ethz.ch

Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.

handle.net

hdl.handle.net

Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.

harvard.edu

ui.adsabs.harvard.edu

Lemons, Don S. (2002), "An Introduction to Stochastic Processes in Physics", American Journal of Physics, 71 (2), The Johns Hopkins University Press: 35, Bibcode:2003AmJPh..71..191L, doi:10.1119/1.1526134, ISBN 0-8018-6866-1

jstor.org

Knight, Franck B. (1976). "A characterization of the Cauchy type". Proceedings of the American Mathematical Society. 55 (1): 130–135. doi:10.2307/2041858. JSTOR 2041858.
Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.
Cane, Gwenda J. (1974). "Linear Estimation of Parameters of the Cauchy Distribution Based on Sample Quantiles". Journal of the American Statistical Association. 69 (345): 243–245. doi:10.1080/01621459.1974.10480163. JSTOR 2285535.
Bloch, Daniel (1966). "A note on the estimation of the location parameters of the Cauchy distribution". Journal of the American Statistical Association. 61 (316): 852–855. doi:10.1080/01621459.1966.10480912. JSTOR 2282794.
Ferguson, Thomas S. (1978). "Maximum Likelihood Estimates of the Parameters of the Cauchy Distribution for Samples of Size 3 and 4". Journal of the American Statistical Association. 73 (361): 211–213. doi:10.1080/01621459.1978.10480031. JSTOR 2286549.
Barnett, V. D. (1966). "Order Statistics Estimators of the Location of the Cauchy Distribution". Journal of the American Statistical Association. 61 (316): 1205–1218. doi:10.1080/01621459.1966.10482205. JSTOR 2283210.
Ferguson, Thomas S. (1962). "A Representation of the Symmetric Bivariate Cauchy Distribution". The Annals of Mathematical Statistics. 33 (4): 1256–1266. doi:10.1214/aoms/1177704357. JSTOR 2237984. Retrieved 2017-01-07.

ksu.edu.sa

faculty.ksu.edu.sa

Cohen Freue, Gabriella V. (2007). "The Pitman estimator of the Cauchy location parameter" (PDF). Journal of Statistical Planning and Inference. 137 (6): 1901. doi:10.1016/j.jspi.2006.05.002. Archived from the original (PDF) on 2011-08-16.

manchester.ac.uk

pure.manchester.ac.uk

Li, Rui; Nadarajah, Saralees (2020-03-01). "A review of Student's t distribution and its generalizations" (PDF). Empirical Economics. 58 (3): 1461–1490. doi:10.1007/s00181-018-1570-0. ISSN 1435-8921.

projecteuclid.org

Ferguson, Thomas S. (1962). "A Representation of the Symmetric Bivariate Cauchy Distribution". The Annals of Mathematical Statistics. 33 (4): 1256–1266. doi:10.1214/aoms/1177704357. JSTOR 2237984. Retrieved 2017-01-07.

quantumcalculus.org

"Updates to the Cauchy Central Limit". Quantum Calculus. 13 November 2022. Retrieved 21 June 2023.

randomservices.org

Kyle Siegrist. "Cauchy Distribution". Random. Archived from the original on 9 July 2021. Retrieved 5 July 2021.

semanticscholar.org

api.semanticscholar.org

Pillai N.; Meng, X.L. (2016). "An unexpected encounter with Cauchy and Lévy". The Annals of Statistics. 44 (5): 2089–2097. arXiv:1505.01957. doi:10.1214/15-AOS1407. S2CID 31582370.
Nielsen, Frank; Okamura, Kazuki (2023). "On f-Divergences Between Cauchy Distributions". IEEE Transactions on Information Theory. 69 (5): 3150–3171. arXiv:2101.12459. doi:10.1109/TIT.2022.3231645. S2CID 231728407.
Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.
Zhang, Jin (2010). "A Highly Efficient L-estimator for the Location Parameter of the Cauchy Distribution". Computational Statistics. 25 (1): 97–105. doi:10.1007/s00180-009-0163-y. S2CID 123586208.

sinica.edu.tw

www3.stat.sinica.edu.tw

Molenberghs, Geert; Lesaffre, Emmanuel (1997). "Non-linear Integral Equations to Approximate Bivariate Densities with Given Marginals and Dependence Function" (PDF). Statistica Sinica. 7: 713–738. Archived from the original (PDF) on 2009-09-14.

statistics4u.info

"Illustration of instability of sample means". Archived from the original on 2017-03-24. Retrieved 2014-11-22.

uchicago.edu

stat.uchicago.edu

McCullagh, P., "Conditional inference and Cauchy models", Biometrika, volume 79 (1992), pages 247–259. PDF Archived 2010-06-10 at the Wayback Machine from McCullagh's homepage.

waterlog.info

"CumFreq, free software for cumulative frequency analysis and probability distribution fitting". Archived from the original on 2018-02-21.

web.archive.org

Park, Sung Y.; Bera, Anil K. (2009). "Maximum entropy autoregressive conditional heteroskedasticity model" (PDF). Journal of Econometrics. 150 (2). Elsevier: 219–230. doi:10.1016/j.jeconom.2008.12.014. Archived from the original (PDF) on 2011-09-30. Retrieved 2011-06-02.
Kyle Siegrist. "Cauchy Distribution". Random. Archived from the original on 9 July 2021. Retrieved 5 July 2021.
Hampel, Frank (1998), "Is statistics too difficult?" (PDF), Canadian Journal of Statistics, 26 (3): 497–513, doi:10.2307/3315772, hdl:20.500.11850/145503, JSTOR 3315772, S2CID 53117661, archived from the original on 2022-01-25, retrieved 2019-09-25.
McCullagh, P., "Conditional inference and Cauchy models", Biometrika, volume 79 (1992), pages 247–259. PDF Archived 2010-06-10 at the Wayback Machine from McCullagh's homepage.
"Illustration of instability of sample means". Archived from the original on 2017-03-24. Retrieved 2014-11-22.
Cohen Freue, Gabriella V. (2007). "The Pitman estimator of the Cauchy location parameter" (PDF). Journal of Statistical Planning and Inference. 137 (6): 1901. doi:10.1016/j.jspi.2006.05.002. Archived from the original (PDF) on 2011-08-16.
Kyprianou, Andreas (2009). Lévy processes and continuous-state branching processes:part I (PDF). p. 11. Archived (PDF) from the original on 2016-03-03. Retrieved 2016-05-04.
Molenberghs, Geert; Lesaffre, Emmanuel (1997). "Non-linear Integral Equations to Approximate Bivariate Densities with Given Marginals and Dependence Function" (PDF). Statistica Sinica. 7: 713–738. Archived from the original (PDF) on 2009-09-14.
"CumFreq, free software for cumulative frequency analysis and probability distribution fitting". Archived from the original on 2018-02-21.
Gull, S.F. (1988) Bayesian Inductive Inference and Maximum Entropy. Kluwer Academic Publishers, Berlin. https://doi.org/10.1007/978-94-009-3049-0_4 Archived 2022-01-25 at the Wayback Machine
Tong Liu (2012), An intermediate distribution between Gaussian and Cauchy distributions. https://arxiv.org/pdf/1208.5109.pdf Archived 2020-06-24 at the Wayback Machine

wolfram.com

mathworld.wolfram.com

"Lorentzian Function". MathWorld. Wolfram Research. Retrieved 27 October 2024.

worldcat.org

search.worldcat.org

Li, Rui; Nadarajah, Saralees (2020-03-01). "A review of Student's t distribution and its generalizations" (PDF). Empirical Economics. 58 (3): 1461–1490. doi:10.1007/s00181-018-1570-0. ISSN 1435-8921.

yorku.ca

econ.yorku.ca

Park, Sung Y.; Bera, Anil K. (2009). "Maximum entropy autoregressive conditional heteroskedasticity model" (PDF). Journal of Econometrics. 150 (2). Elsevier: 219–230. doi:10.1016/j.jeconom.2008.12.014. Archived from the original (PDF) on 2011-09-30. Retrieved 2011-06-02.