For people playing along at home: generate random pairs (x,y) with x, y in [0,1]. Compute fraction s.t. x^2 + y^2 <= 1. Multiply by 4.
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@othercriteria I once spent a few weeks looking at financial engineering/stochastic calculus before realizing I'd have to learn to program.Thanks. Twitter will use this to make your timeline better. UndoUndo
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@St_Rev (Mostly just wanted an excuse to use the metaphor.) I was a bit amused how the arcsine transform moots the problem. -
@othercriteria How's that -
@St_Rev Taking arcsine of proportion data is variance reduction hack in ecology. But if you have arcsine, then π = 2 arcsin(1). -
@othercriteria I think I'd argue that that's a non-answer. "Calculate pi." "OK. First, calculate pi/2. Then multiply by 2!" -
@St_Rev My memory was bad and it turns out that that transform is used for variance *stabilizing*, anyways. http://tina.wiau.man.ac.uk/docs/memos/2002-007.pdf …
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.