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Central limit theorem
(section)
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==Notes== {{Reflist|30em|refs= <ref name=ABBN>{{cite journal| first1=S.| last1=Artstein |author1-link=Shiri Artstein| first2=K. |last2=Ball |author2-link=Keith Martin Ball |first3=F. |last3=Barthe |author3-link=Franck Barthe |first4=A. |last4=Naor |author4-link=Assaf Naor |year=2004 |title=Solution of Shannon's Problem on the Monotonicity of Entropy |journal=Journal of the American Mathematical Society |volume=17 |pages=975β982| doi=10.1090/S0894-0347-04-00459-X| issue=4 |doi-access=free}}</ref> <ref name=Bernstein>{{cite book|author-link=Sergei Natanovich Bernstein|last=Bernstein|first=S. N. |date=1945 |contribution=On the work of P. L. Chebyshev in Probability Theory |title=Nauchnoe Nasledie P. L. Chebysheva. Vypusk Pervyi: Matematika |language=ru |trans-title=The Scientific Legacy of P. L. Chebyshev. Part I: Mathematics |editor-first=S. N.|editor-last= Bernstein. |publisher=Academiya Nauk SSSR |location=Moscow & Leningrad |page=174}}</ref> <ref name=LC1986>{{cite journal| author-link=Lucien Le Cam|last=Le Cam |first= Lucien|year=1986 |url=http://projecteuclid.org/euclid.ss/1177013818 |title=The central limit theorem around 1935 |journal=Statistical Science |volume=1|issue=1|pages=78β91|doi=10.1214/ss/1177013818|doi-access=free}}</ref> <ref name=Hald>{{cite book|last=Hald |first=Andreas |url=http://www.gbv.de/dms/goettingen/229762905.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://www.gbv.de/dms/goettingen/229762905.pdf |archive-date=2022-10-09 |url-status=live |title=A History of Mathematical Statistics from 1750 to 1930|isbn=978-0471179122 |date=22 April 1998 |publisher=Wiley |at=chapter 17}}</ref> <ref name=Meckes>{{Cite journal|last=Meckes|first= Elizabeth|author-link=Elizabeth Meckes|year=2008|title=Linear functions on the classical matrix groups|journal=Transactions of the American Mathematical Society|volume=360|pages=5355β5366|doi=10.1090/S0002-9947-08-04444-9|issue=10 |arxiv=math/0509441 |s2cid= 11981408}}</ref> <ref name=Rempala>{{cite journal |last1=Rempala |first1=G. |last2=Wesolowski |first2=J. |year=2002 |title=Asymptotics of products of sums and ''U''-statistics |url=https://projecteuclid.org/journals/electronic-communications-in-probability/volume-7/issue-none/Asymptotics-for-Products-of-Sums-and-U-statistics/10.1214/ECP.v7-1046.pdf |journal=Electronic Communications in Probability |volume=7 |pages=47β54 |doi=10.1214/ecp.v7-1046| doi-access=free}}</ref> <ref name=Tijms>{{Cite book |first=Tijms |last=Henk |year=2004 |title=Understanding Probability: Chance Rules in Everyday Life |location=Cambridge |publisher=Cambridge University Press |isbn=0-521-54036-4 |page=169}}</ref> <ref name=Zygmund>{{cite book|last=Zygmund|first=Antoni|author-link=Antoni Zygmund|orig-year=1959|title=Trigonometric Series|title-link= Trigonometric Series |publisher=Cambridge University Press|date=2003 |isbn= 0-521-89053-5 |at=vol. II, sect. XVI.5, Theorem 5-5}}</ref> }}
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