Editing Convex hull (section)

===Statistics===
[[File:Bagplot.png|thumb|A [[bagplot]]. The outer shaded region is the convex hull, and the inner shaded region is the 50% Tukey depth contour.]]
In [[robust statistics]], the convex hull provides one of the key components of a [[bagplot]], a method for visualizing the spread of two-dimensional sample points. The contours of [[Tukey depth]] form a nested family of convex sets, with the convex hull outermost, and the bagplot also displays another polygon from this nested family, the contour of 50% depth.{{sfnp|Rousseeuw|Ruts|Tukey|1999}}

In statistical [[decision theory]], the risk set of a [[randomised decision rule|randomized decision rule]] is the convex hull of the risk points of its underlying deterministic decision rules.{{sfnp|Harris|1971}}