Editing Standardized moment (section)

{{Short description|Normalized central moments}}
{{Use American English|date = January 2019}}

In [[probability theory]] and [[statistics]], a '''standardized moment''' of a [[probability distribution]] is a moment (often a higher degree [[central moment]]) that is normalized, typically by a power of the [[standard deviation]], rendering the moment [[scale invariant]]. The [[shape of a probability distribution|shape]] of different probability distributions can be compared using standardized moments.<ref>{{Cite book|url=https://books.google.com/books?id=q1clOAAACAAJ|title=The Elements of Statistics: With Applications to Economics and the Social Sciences|last=Ramsey|first=James Bernard|last2=Newton|first2=H. Joseph|last3=Harvill|first3=Jane L. | date = 2002-01-01|publisher=Duxbury/Thomson Learning|isbn=9780534371111|pages=96|language=en|chapter=CHAPTER 4 MOMENTS AND THE SHAPE OF HISTOGRAMS|chapter-url=http://www.econ.nyu.edu/user/ramseyj/textbook/viewtext.htm}}</ref>