Cauchy-Lorentz distribution limit

[TheDestroyer]

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

 

[Pinu7]

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.

 

[TheDestroyer]

Thank you. If you guys agree, or disagree, say :)