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Statistics of sinc function with normal argument

  1. Nov 10, 2011 #1

    rhz

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    Hi,

    Can anyone point me to the pdf, cdf, moments, etc of

    y = sinc(x) = sin(pi*x)/(pi*x) where x ~ N(0,s^2)?

    Thanks!
     
  2. jcsd
  3. Nov 11, 2011 #2
    The CDF and PDF will be tricky to calculate because sinc is not one-to-one.

    However the moments could be calculated by numerical integration and possibly even analytically using complex variable methods.
     
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