Editing Mathematical statistics (section)

{{Short description|Branch of statistics}}
{{confused|Mathematics and statistics|Mathematics|Statistics}}
[[Image:Linear regression.svg|thumb|right|300px|Illustration of linear regression on a data set. [[Regression analysis]] is an important part of mathematical statistics.]]
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{{Math topics TOC}}

'''Mathematical statistics''' is the application of [[probability theory]] and other mathematical concepts to [[statistics]], as opposed to techniques for collecting statistical data.<ref>{{Cite book |last=Shao |first=Jun |url=https://books.google.com/books?id=_bEPBwAAQBAJ |title=Mathematical Statistics |date=2008-02-03 |publisher=Springer Science & Business Media |isbn=978-0-387-21718-5 |language=en}}</ref> Specific mathematical techniques that are commonly used in statistics include [[mathematical analysis]], [[linear algebra]], [[stochastic analysis]], [[differential equations]], and [[measure theory]].<ref>{{cite book|editor1-last=Kannan|editor1-first=D.|editor2-last=Lakshmikantham|editor2-first=V.|title=Handbook of stochastic analysis and applications|date=2002|publisher=M. Dekker|location=New York|isbn=0824706609}}</ref><ref>{{cite book|last=Schervish|first=Mark J.|title=Theory of statistics|date=1995|publisher=Springer|location=New York|isbn=0387945466|edition=Corr. 2nd print.}}</ref>