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| Keywords: WrappedNormalPDF.png en PDF of the wrapped normal distribution own PAR 2011-05-22 Created using the following Mathematica program Assumptions s > 0 fx_ m_ s_ Exp- x - m 2/ 2 s 2 / s Sqrt2 Pi fwTheta_ m_ s_ SumTheta + 2 Pi n m s n -Infinity Infinity Wrapped normal distribution for angle \Theta p1 PlotTheta Pi 0 Sqrt1/8 \Theta -1 1 PlotStyle -> Magenta Thick ; p2 PlotTheta Pi 0 Sqrt1/4 \Theta -1 1 PlotStyle -> Red Thick ; p3 PlotTheta Pi 0 Sqrt1/2 \Theta -1 1 PlotStyle -> Green Thick ; p4 PlotTheta Pi 0 Sqrt1/1 \Theta -1 1 PlotStyle -> Cyan Thick ; p5 PlotTheta Pi 0 Sqrt2 \Theta -1 1 PlotStyle -> Blue Thick ; p6 PlotTheta -1 1 PlotStyle -> Black Thick ; Show p1 p2 p3 p4 p5 p6 PlotRange -> -1 1 0 1 Frame -> True p1 PlotThetap Pi 0 Sqrt1/8 \Thetap -1 \Theta \Theta -1 1 PlotStyle -> Magenta Thick ; p2 PlotThetap Pi 0 Sqrt1/4 \Thetap -1 \Theta \Theta -1 1 PlotStyle -> Red Thick ; p3 PlotThetap Pi 0 Sqrt1/2 \Thetap -1 \Theta \Theta -1 1 PlotStyle -> Green Thick ; p4 PlotThetap Pi 0 Sqrt1/1 \Thetap -1 \Theta \Theta -1 1 PlotStyle -> Cyan Thick ; p5 PlotThetap Pi 0 Sqrt2/1 \Thetap -1 \Theta \Theta -1 1 PlotStyle -> Blue Thick ; p0 PlotThetap -1 \ \Theta \Theta -1 1 PlotStyle -> Black Thick ; Show p0 p1 p2 p3 p4 p5 PlotRange -> -1 1 0 1 Frame -> True Cc-zero Probability distributions | ||||
