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current	18:41, 20 June 2017		1,217 × 617 (422 KB)	Bill Peterson (talk \| contribs)	https://www.quantamagazine.org/statistician-proves-gaussian-correlation-inequality-20170328/

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Author	Natalie Wolchover
Image title	THE GAUSSIAN CORRELATION INEQUALITY… in convex geometry:Consider any two convex symmetrical shapes in any number of dimensions that are centered on the same point, which forms a target. Darts thrown at the target will land in a bell curve or“Gaussian distribution” of positions. The overlap of the two shapes increases your probability (P) of striking both.[Equation: see sample graphic]… in multivariate statistics:Consider a sample of people’s weights and heights plotted on x-y axes. Because these variables are correlated, the odds that someone’s weight and height will both fall within a combined range is greater than or equal to the product of the independent odds of falling in each range. (The general inequality holds for any number of variables.)
Copyright holder	www.Quantamagazine.org
Short title	A Long-Sought Proof, Found and Almost Lost
Keywords	Thomas Royen University of Applied Sciences Bingen Donald Richards Pennsylvania State University Rafał Latała Dariusz Matlak Bo’az Klartag Weizmann Institute Alan Izenman Temple University Tilmann Gneiting Heidelberg Institute for Theoretical Studies Loren Pitt University of Virginia Olive Dunn
Date metadata was last modified	13:11, 29 March 2017
Date and time of digitizing	05:52, 28 March 2017
File change date and time	13:11, 29 March 2017
Software used	Adobe Photoshop CC 2022 (Macintosh)