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Cauchy-Lorentz distribution limit

  1. Aug 11, 2009 #1
    The Lorentz distribution is in this link

    http://en.wikipedia.org/wiki/Cauchy_distribution

    My question is the following, does the limit gamma -> zero, convert this function to Dirac delta?

    Thank you
     
  2. jcsd
  3. Aug 11, 2009 #2
    Yes, I think. The dirac delta function is usually explained using a limit of the Gaussian distribution, however that is not necessary.

    The DDF can be thought of the limit of the Cauchy-Lorentz distribution since it is probabilistic( which means the area is 1)and the limiting process will make it shoot upwards like the DDF.
     
  4. Aug 11, 2009 #3
    Thank you. If you guys agree, or disagree, say :)
     
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