Student's t-distribution (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Student's t-distribution" in English language version.

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15doi.org

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amazon.com

Hogg RV, Craig AT (1978). Introduction to Mathematical Statistics (4th ed.). New York: Macmillan. ASIN B010WFO0SA. Sections 4.4 and 4.8{{cite book}}: CS1 maint: postscript (link)

ams.org

mathscinet.ams.org

Pfanzagl J, Sheynin O (1996). "Studies in the history of probability and statistics. XLIV. A forerunner of the $t$ distribution". Biometrika. 83 (4): 891–898. doi:10.1093/biomet/83.4.891. MR 1766040.

anu.edu.au

wwwmaths.anu.edu.au

Hurst, Simon. "The characteristic function of the Student $t$ distribution". Financial Mathematics Research Report. Statistics Research Report No. SRR044-95. Archived from the original on February 18, 2010.

archive.org

Jackman, S. (2009). Bayesian Analysis for the Social Sciences. Wiley Series in Probability and Statistics. Wiley. p. 507. doi:10.1002/9780470686621. ISBN 9780470011546.
Mortimer RG (2005). Mathematics for Physical Chemistry (3rd ed.). Burlington, MA: Elsevier. pp. 326. ISBN 9780080492889. OCLC 156200058.

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. Retrieved 2023-02-27.
Shah, Amar; Wilson, Andrew Gordon; Ghahramani, Zoubin (2014). "Student $t$ processes as alternatives to Gaussian processes" (PDF). JMLR. 33 (Proceedings of the 17th International Conference on Artificial Intelligence and Statistics (AISTATS) 2014, Reykjavik, Iceland): 877–885. arXiv:1402.4306.
Chen, Zexun; Wang, Bo; Gorban, Alexander N. (2019). "Multivariate Gaussian and Student $t$ process regression for multi-output prediction". Neural Computing and Applications. 32 (8): 3005–3028. arXiv:1703.04455. doi:10.1007/s00521-019-04687-8.

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. Retrieved 2023-02-27.
Cochran, W. G. (1934). "The distribution of quadratic forms in a normal system, with applications to the analysis of covariance". Mathematical Proceedings of the Cambridge Philosophical Society. 30 (2): 178–191. Bibcode:1934PCPS...30..178C. doi:10.1017/S0305004100016595. S2CID 122547084.
Park SY, Bera AK (2009). "Maximum entropy autoregressive conditional heteroskedasticity model". Journal of Econometrics. 150 (2): 219–230. doi:10.1016/j.jeconom.2008.12.014.
Jackman, S. (2009). Bayesian Analysis for the Social Sciences. Wiley Series in Probability and Statistics. Wiley. p. 507. doi:10.1002/9780470686621. ISBN 9780470011546.
Lange KL, Little RJ, Taylor JM (1989). "Robust Statistical Modeling Using the $t$ Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.1080/01621459.1989.10478852. JSTOR 2290063.
Chen, Zexun; Wang, Bo; Gorban, Alexander N. (2019). "Multivariate Gaussian and Student $t$ process regression for multi-output prediction". Neural Computing and Applications. 32 (8): 3005–3028. arXiv:1703.04455. doi:10.1007/s00521-019-04687-8.
Bailey RW (1994). "Polar generation of random variates with the $t$ distribution". Mathematics of Computation. 62 (206): 779–781. Bibcode:1994MaCom..62..779B. doi:10.2307/2153537. JSTOR 2153537. S2CID 120459654.
Helmert FR (1876). "Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers directer Beobachtungen gleicher Genauigkeit" [The accuracy of Peters' formula for calculating the probable observation error of direct observations of the same accuracy]. Astronomische Nachrichten (in German). 88 (8–9): 113–132. Bibcode:1876AN.....88..113H. doi:10.1002/asna.18760880802.
Lüroth J (1876). "Vergleichung von zwei Werten des wahrscheinlichen Fehlers". Astronomische Nachrichten (in German). 87 (14): 209–220. Bibcode:1876AN.....87..209L. doi:10.1002/asna.18760871402.
Pfanzagl J, Sheynin O (1996). "Studies in the history of probability and statistics. XLIV. A forerunner of the $t$ distribution". Biometrika. 83 (4): 891–898. doi:10.1093/biomet/83.4.891. MR 1766040.
Sheynin O (1995). "Helmert's work in the theory of errors". Archive for History of Exact Sciences. 49 (1): 73–104. doi:10.1007/BF00374700. S2CID 121241599.
Pearson, K. (1895). "Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 186 (374): 343–414. Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010. ISSN 1364-503X.
"Student" [pseu. William Sealy Gosset] (1908). "The probable error of a mean" (PDF). Biometrika. 6 (1): 1–25. doi:10.1093/biomet/6.1.1. hdl:10338.dmlcz/143545. JSTOR 2331554.{{cite journal}}: CS1 maint: numeric names: authors list (link)
Wendl MC (2016). "Pseudonymous fame". Science. 351 (6280): 1406. Bibcode:2016Sci...351.1406W. doi:10.1126/science.351.6280.1406. PMID 27013722.
Sun, Jingchao; Kong, Maiying; Pal, Subhadip (22 June 2021). "The Modified-Half-Normal distribution: Properties and an efficient sampling scheme". Communications in Statistics - Theory and Methods. 52 (5): 1591–1613. doi:10.1080/03610926.2021.1934700. ISSN 0361-0926. S2CID 237919587.

escholarship.org

cloudfront.escholarship.org

Lange KL, Little RJ, Taylor JM (1989). "Robust Statistical Modeling Using the $t$ Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.1080/01621459.1989.10478852. JSTOR 2290063.

figshare.com

Sun, Jingchao; Kong, Maiying; Pal, Subhadip (22 June 2021). "The Modified-Half-Normal distribution: Properties and an efficient sampling scheme". Communications in Statistics - Theory and Methods. 52 (5): 1591–1613. doi:10.1080/03610926.2021.1934700. ISSN 0361-0926. S2CID 237919587.

handle.net

hdl.handle.net

"Student" [pseu. William Sealy Gosset] (1908). "The probable error of a mean" (PDF). Biometrika. 6 (1): 1–25. doi:10.1093/biomet/6.1.1. hdl:10338.dmlcz/143545. JSTOR 2331554.{{cite journal}}: CS1 maint: numeric names: authors list (link)

harvard.edu

ui.adsabs.harvard.edu

Cochran, W. G. (1934). "The distribution of quadratic forms in a normal system, with applications to the analysis of covariance". Mathematical Proceedings of the Cambridge Philosophical Society. 30 (2): 178–191. Bibcode:1934PCPS...30..178C. doi:10.1017/S0305004100016595. S2CID 122547084.
Bailey RW (1994). "Polar generation of random variates with the $t$ distribution". Mathematics of Computation. 62 (206): 779–781. Bibcode:1994MaCom..62..779B. doi:10.2307/2153537. JSTOR 2153537. S2CID 120459654.
Helmert FR (1876). "Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers directer Beobachtungen gleicher Genauigkeit" [The accuracy of Peters' formula for calculating the probable observation error of direct observations of the same accuracy]. Astronomische Nachrichten (in German). 88 (8–9): 113–132. Bibcode:1876AN.....88..113H. doi:10.1002/asna.18760880802.
Lüroth J (1876). "Vergleichung von zwei Werten des wahrscheinlichen Fehlers". Astronomische Nachrichten (in German). 87 (14): 209–220. Bibcode:1876AN.....87..209L. doi:10.1002/asna.18760871402.
Pearson, K. (1895). "Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 186 (374): 343–414. Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010. ISSN 1364-503X.
Wendl MC (2016). "Pseudonymous fame". Science. 351 (6280): 1406. Bibcode:2016Sci...351.1406W. doi:10.1126/science.351.6280.1406. PMID 27013722.

jstor.org

Lange KL, Little RJ, Taylor JM (1989). "Robust Statistical Modeling Using the $t$ Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.1080/01621459.1989.10478852. JSTOR 2290063.
Bailey RW (1994). "Polar generation of random variates with the $t$ distribution". Mathematics of Computation. 62 (206): 779–781. Bibcode:1994MaCom..62..779B. doi:10.2307/2153537. JSTOR 2153537. S2CID 120459654.
"Student" [pseu. William Sealy Gosset] (1908). "The probable error of a mean" (PDF). Biometrika. 6 (1): 1–25. doi:10.1093/biomet/6.1.1. hdl:10338.dmlcz/143545. JSTOR 2331554.{{cite journal}}: CS1 maint: numeric names: authors list (link)

mlr.press

proceedings.mlr.press

Shah, Amar; Wilson, Andrew Gordon; Ghahramani, Zoubin (2014). "Student $t$ processes as alternatives to Gaussian processes" (PDF). JMLR. 33 (Proceedings of the 17th International Conference on Artificial Intelligence and Statistics (AISTATS) 2014, Reykjavik, Iceland): 877–885. arXiv:1402.4306.

nih.gov

pubmed.ncbi.nlm.nih.gov

Wendl MC (2016). "Pseudonymous fame". Science. 351 (6280): 1406. Bibcode:2016Sci...351.1406W. doi:10.1126/science.351.6280.1406. PMID 27013722.

semanticscholar.org

api.semanticscholar.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. Retrieved 2023-02-27.
Cochran, W. G. (1934). "The distribution of quadratic forms in a normal system, with applications to the analysis of covariance". Mathematical Proceedings of the Cambridge Philosophical Society. 30 (2): 178–191. Bibcode:1934PCPS...30..178C. doi:10.1017/S0305004100016595. S2CID 122547084.
Bailey RW (1994). "Polar generation of random variates with the $t$ distribution". Mathematics of Computation. 62 (206): 779–781. Bibcode:1994MaCom..62..779B. doi:10.2307/2153537. JSTOR 2153537. S2CID 120459654.
Sheynin O (1995). "Helmert's work in the theory of errors". Archive for History of Exact Sciences. 49 (1): 73–104. doi:10.1007/BF00374700. S2CID 121241599.
Sun, Jingchao; Kong, Maiying; Pal, Subhadip (22 June 2021). "The Modified-Half-Normal distribution: Properties and an efficient sampling scheme". Communications in Statistics - Theory and Methods. 52 (5): 1591–1613. doi:10.1080/03610926.2021.1934700. ISSN 0361-0926. S2CID 237919587.

sothis.ro

Fisher RA (1925). "Applications of 'Student's' distribution" (PDF). Metron. 5: 90–104. Archived from the original (PDF) on 5 March 2016.

stonybrook.edu

uryasev.ams.stonybrook.edu

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. Retrieved 2023-02-27.

web.archive.org

Hurst, Simon. "The characteristic function of the Student $t$ distribution". Financial Mathematics Research Report. Statistics Research Report No. SRR044-95. Archived from the original on February 18, 2010.
Fisher RA (1925). "Applications of 'Student's' distribution" (PDF). Metron. 5: 90–104. Archived from the original (PDF) on 5 March 2016.

worldcat.org

search.worldcat.org

Kruschke, J.K. (2015). Doing Bayesian Data Analysis (2nd ed.). Academic Press. ISBN 9780124058880. OCLC 959632184.
Pearson, K. (1895). "Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 186 (374): 343–414. Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010. ISSN 1364-503X.
Mortimer RG (2005). Mathematics for Physical Chemistry (3rd ed.). Burlington, MA: Elsevier. pp. 326. ISBN 9780080492889. OCLC 156200058.
Walpole RE, Myers R, Myers S, Ye K (2006). Probability & Statistics for Engineers & Scientists (7th ed.). New Delhi, IN: Pearson. p. 237. ISBN 9788177584042. OCLC 818811849.
Sun, Jingchao; Kong, Maiying; Pal, Subhadip (22 June 2021). "The Modified-Half-Normal distribution: Properties and an efficient sampling scheme". Communications in Statistics - Theory and Methods. 52 (5): 1591–1613. doi:10.1080/03610926.2021.1934700. ISSN 0361-0926. S2CID 237919587.

york.ac.uk

"Student" [pseu. William Sealy Gosset] (1908). "The probable error of a mean" (PDF). Biometrika. 6 (1): 1–25. doi:10.1093/biomet/6.1.1. hdl:10338.dmlcz/143545. JSTOR 2331554.{{cite journal}}: CS1 maint: numeric names: authors list (link)

zenodo.org

Helmert FR (1876). "Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Beobachtungsfehlers directer Beobachtungen gleicher Genauigkeit" [The accuracy of Peters' formula for calculating the probable observation error of direct observations of the same accuracy]. Astronomische Nachrichten (in German). 88 (8–9): 113–132. Bibcode:1876AN.....88..113H. doi:10.1002/asna.18760880802.
Lüroth J (1876). "Vergleichung von zwei Werten des wahrscheinlichen Fehlers". Astronomische Nachrichten (in German). 87 (14): 209–220. Bibcode:1876AN.....87..209L. doi:10.1002/asna.18760871402.
Pearson, K. (1895). "Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 186 (374): 343–414. Bibcode:1895RSPTA.186..343P. doi:10.1098/rsta.1895.0010. ISSN 1364-503X.