Statistics of sinc function with normal argument

  • #1

rhz

12
0
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
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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