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Voronoi diagram (black points) computed by projecting vertically lower envelope of n 3D graphs of functions {(x,y_i(x))} with y_i(x)=D(x_i,x) (pink). When distance D(x,x')=‖x-x'‖^2, graphs of y_i are paraboloids and Voronoi cell borders are linear
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![Let X = exp(A²/2) and Y=exp(B²/2) where A,B are joint normal with mean 0, variance 1, and correlation ρ (between 0 and 1). Then, E[X|Y] = Y/ρ > Y E[Y|X] = X/ρ > X So X is greater than Y 'on average', and Y is greater than X on average. Here's a proof of that](https://image.24vids.com/tw-1969679527325438382/amplify_video_thumb/1969678666427723776/img/FKRxZ9x0Fr9RclVV.jpg)
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