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Unimodality
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====Vysochanskiï–Petunin inequality==== A second is the [[Vysochanskiï–Petunin inequality]],<ref>{{cite journal |author=D. F. Vysochanskij, Y. I. Petunin |year=1980 |title=Justification of the 3σ rule for unimodal distributions |journal=Theory of Probability and Mathematical Statistics |volume=21 |pages=25–36}}</ref> a refinement of the [[Chebyshev inequality]]. The Chebyshev inequality guarantees that in any probability distribution, "nearly all" the values are "close to" the mean value. The Vysochanskiï–Petunin inequality refines this to even nearer values, provided that the distribution function is continuous and unimodal. Further results were shown by Sellke and Sellke.<ref>{{Cite journal | last1 = Sellke | first1 = T.M. | last2 = Sellke | first2 = S.H. | title = Chebyshev inequalities for unimodal distributions | jstor = 2684690 | year = 1997 | journal = [[American Statistician]] | volume = 51 | issue = 1 | pages = 34–40 | publisher = American Statistical Association | doi=10.2307/2684690 }}</ref>
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