Hi I have a function [tex]\phi =arctan(Y/X)[/tex] where, X[tex]\sim \mathcal{N}(A\cos \theta, v)[/tex] and Y[tex]\sim \mathcal{N}(A\sin \theta,v)[/tex]. I want to find(adsbygoogle = window.adsbygoogle || []).push({});

pdf (probability distribution) of [tex]\phi [/tex]. Any suggestions ? I think change of variables in integral might work??

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# Probability distribution function with arctan

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