Law of large numbers (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Law of large numbers" in English language version.

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13doi.org

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2encyclopediaofmath.org

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archive.org

Dekking, Michel (2005). A Modern Introduction to Probability and Statistics. Springer. pp. 181–190. ISBN 9781852338961.
Dekking, Michel (2005). A Modern Introduction to Probability and Statistics. Springer. pp. 92. ISBN 9781852338961.{{cite book}}: CS1 maint: url-status (link)
Dekking, Michel (2005). A Modern Introduction to Probability and Statistics. Springer. pp. 63. ISBN 9781852338961.{{cite book}}: CS1 maint: url-status (link)
Poisson names the "law of large numbers" (la loi des grands nombres) in: Poisson, S. D. (1837). Probabilité des jugements en matière criminelle et en matière civile, précédées des règles générales du calcul des probabilitiés (in French). Paris, France: Bachelier. p. 7. He attempts a two-part proof of the law on pp. 139–143 and pp. 277 ff.

arxiv.org

Seneta 2013. Seneta, Eugene (2013). "A Tricentenary history of the Law of Large Numbers". Bernoulli. 19 (4): 1088–1121. arXiv:1309.6488. doi:10.3150/12-BEJSP12. S2CID 88520834.

books.google.com

Lehmann, Erich L.; Romano, Joseph P. (2006-03-30). Weak law converges to constant. Springer. ISBN 9780387276052.

builtin.com

"What Is the Law of Large Numbers? (Definition) | Built In". builtin.com. Retrieved 2023-10-20.

doi.org

Yao, Kai; Gao, Jinwu (2016). "Law of Large Numbers for Uncertain Random Variables". IEEE Transactions on Fuzzy Systems. 24 (3): 615–621. doi:10.1109/TFUZZ.2015.2466080. ISSN 1063-6706. S2CID 2238905.
Kroese, Dirk P.; Brereton, Tim; Taimre, Thomas; Botev, Zdravko I. (2014). "Why the Monte Carlo method is so important today". Wiley Interdisciplinary Reviews: Computational Statistics. 6 (6): 386–392. doi:10.1002/wics.1314. hdl:1959.4/unsworks_43203. S2CID 18521840.
Pitman, E. J. G.; Williams, E. J. (1967). "Cauchy-Distributed Functions of Cauchy Variates". The Annals of Mathematical Statistics. 38 (3): 916–918. doi:10.1214/aoms/1177698885. ISSN 0003-4851. JSTOR 2239008.
Hacking, Ian (1983). "19th-century Cracks in the Concept of Determinism". Journal of the History of Ideas. 44 (3): 455–475. doi:10.2307/2709176. JSTOR 2709176.
Tchebichef, P. (1846). "Démonstration élémentaire d'une proposition générale de la théorie des probabilités". Journal für die reine und angewandte Mathematik (in French). 1846 (33): 259–267. doi:10.1515/crll.1846.33.259. S2CID 120850863.
Seneta 2013. Seneta, Eugene (2013). "A Tricentenary history of the Law of Large Numbers". Bernoulli. 19 (4): 1088–1121. arXiv:1309.6488. doi:10.3150/12-BEJSP12. S2CID 88520834.
Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor (2016). A Course in Mathematical Statistics and Large Sample Theory. Springer Texts in Statistics. New York, NY: Springer New York. doi:10.1007/978-1-4939-4032-5. ISBN 978-1-4939-4030-1.
Etemadi, N. Z. (1981). "An elementary proof of the strong law of large numbers". Wahrscheinlichkeitstheorie Verw Gebiete. 55 (1): 119–122. doi:10.1007/BF01013465. S2CID 122166046.
Kingman, J. F. C. (April 1978). "Uses of Exchangeability". The Annals of Probability. 6 (2). doi:10.1214/aop/1176995566. ISSN 0091-1798.
Jennrich, Robert I. (1969). "Asymptotic Properties of Non-Linear Least Squares Estimators". The Annals of Mathematical Statistics. 40 (2): 633–643. doi:10.1214/aoms/1177697731.
Wen, Liu (1991). "An Analytic Technique to Prove Borel's Strong Law of Large Numbers". The American Mathematical Monthly. 98 (2): 146–148. doi:10.2307/2323947. JSTOR 2323947.
Another proof was given by Etemadi, Nasrollah (1981). "An elementary proof of the strong law of large numbers". Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete. 55. Springer: 119–122. doi:10.1007/BF01013465. S2CID 122166046.
Reiter, Detlev (2008), Fehske, H.; Schneider, R.; Weiße, A. (eds.), "The Monte Carlo Method, an Introduction", Computational Many-Particle Physics, Lecture Notes in Physics, vol. 739, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 63–78, doi:10.1007/978-3-540-74686-7_3, ISBN 978-3-540-74685-0, retrieved 2023-12-08

duke.edu

isds.duke.edu

Mukherjee, Sayan. "Law of large numbers" (PDF). Archived from the original (PDF) on 2013-03-09. Retrieved 2014-06-28.

encyclopediaofmath.org

Yuri Prohorov. "Law of large numbers". Encyclopedia of Mathematics. EMS Press.
Yuri Prokhorov. "Strong law of large numbers". Encyclopedia of Mathematics.

handle.net

hdl.handle.net

Kroese, Dirk P.; Brereton, Tim; Taimre, Thomas; Botev, Zdravko I. (2014). "Why the Monte Carlo method is so important today". Wiley Interdisciplinary Reviews: Computational Statistics. 6 (6): 386–392. doi:10.1002/wics.1314. hdl:1959.4/unsworks_43203. S2CID 18521840.

jstor.org

Pitman, E. J. G.; Williams, E. J. (1967). "Cauchy-Distributed Functions of Cauchy Variates". The Annals of Mathematical Statistics. 38 (3): 916–918. doi:10.1214/aoms/1177698885. ISSN 0003-4851. JSTOR 2239008.
Hacking, Ian (1983). "19th-century Cracks in the Concept of Determinism". Journal of the History of Ideas. 44 (3): 455–475. doi:10.2307/2709176. JSTOR 2709176.
Wen, Liu (1991). "An Analytic Technique to Prove Borel's Strong Law of Large Numbers". The American Mathematical Monthly. 98 (2): 146–148. doi:10.2307/2323947. JSTOR 2323947.

lakeheadu.ca

Sedor, Kelly. "The Law of Large Numbers and its Applications" (PDF).

mathnet.or.kr

Dguvl Hun Hong; Sung Ho Lee (1998). "A Note on the Weak Law of Large Numbers for Exchangeable Random Variables" (PDF). Communications of the Korean Mathematical Society. 13 (2): 385–391. Archived from the original (PDF) on 2016-07-01. Retrieved 2014-06-28.

semanticscholar.org

api.semanticscholar.org

Yao, Kai; Gao, Jinwu (2016). "Law of Large Numbers for Uncertain Random Variables". IEEE Transactions on Fuzzy Systems. 24 (3): 615–621. doi:10.1109/TFUZZ.2015.2466080. ISSN 1063-6706. S2CID 2238905.
Kroese, Dirk P.; Brereton, Tim; Taimre, Thomas; Botev, Zdravko I. (2014). "Why the Monte Carlo method is so important today". Wiley Interdisciplinary Reviews: Computational Statistics. 6 (6): 386–392. doi:10.1002/wics.1314. hdl:1959.4/unsworks_43203. S2CID 18521840.
Tchebichef, P. (1846). "Démonstration élémentaire d'une proposition générale de la théorie des probabilités". Journal für die reine und angewandte Mathematik (in French). 1846 (33): 259–267. doi:10.1515/crll.1846.33.259. S2CID 120850863.
Seneta 2013. Seneta, Eugene (2013). "A Tricentenary history of the Law of Large Numbers". Bernoulli. 19 (4): 1088–1121. arXiv:1309.6488. doi:10.3150/12-BEJSP12. S2CID 88520834.
Etemadi, N. Z. (1981). "An elementary proof of the strong law of large numbers". Wahrscheinlichkeitstheorie Verw Gebiete. 55 (1): 119–122. doi:10.1007/BF01013465. S2CID 122166046.
Another proof was given by Etemadi, Nasrollah (1981). "An elementary proof of the strong law of large numbers". Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete. 55. Springer: 119–122. doi:10.1007/BF01013465. S2CID 122166046.

springer.com

link.springer.com

Reiter, Detlev (2008), Fehske, H.; Schneider, R.; Weiße, A. (eds.), "The Monte Carlo Method, an Introduction", Computational Many-Particle Physics, Lecture Notes in Physics, vol. 739, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 63–78, doi:10.1007/978-3-540-74686-7_3, ISBN 978-3-540-74685-0, retrieved 2023-12-08

terrytao.wordpress.com

"The strong law of large numbers – What's new". Terrytao.wordpress.com. 19 June 2008. Retrieved 2012-06-09.

umn.edu

stat.umn.edu

J. Geyer, Charles. "Law of large numbers" (PDF).

web.archive.org

Dguvl Hun Hong; Sung Ho Lee (1998). "A Note on the Weak Law of Large Numbers for Exchangeable Random Variables" (PDF). Communications of the Korean Mathematical Society. 13 (2): 385–391. Archived from the original (PDF) on 2016-07-01. Retrieved 2014-06-28.
Mukherjee, Sayan. "Law of large numbers" (PDF). Archived from the original (PDF) on 2013-03-09. Retrieved 2014-06-28.

worldcat.org

search.worldcat.org

Yao, Kai; Gao, Jinwu (2016). "Law of Large Numbers for Uncertain Random Variables". IEEE Transactions on Fuzzy Systems. 24 (3): 615–621. doi:10.1109/TFUZZ.2015.2466080. ISSN 1063-6706. S2CID 2238905.
Pitman, E. J. G.; Williams, E. J. (1967). "Cauchy-Distributed Functions of Cauchy Variates". The Annals of Mathematical Statistics. 38 (3): 916–918. doi:10.1214/aoms/1177698885. ISSN 0003-4851. JSTOR 2239008.
Kingman, J. F. C. (April 1978). "Uses of Exchangeability". The Annals of Probability. 6 (2). doi:10.1214/aop/1176995566. ISSN 0091-1798.

zenodo.org

Tchebichef, P. (1846). "Démonstration élémentaire d'une proposition générale de la théorie des probabilités". Journal für die reine und angewandte Mathematik (in French). 1846 (33): 259–267. doi:10.1515/crll.1846.33.259. S2CID 120850863.