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Cauchy distribution: Revision history


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  • curprev 07:2807:28, 19 July 2024 Hompty7 talk contribs m 46,151 bytes −189 reduce redundancy. Also max entropy distribution under constraint \operatorname{E}[\log(1+(X-x_0)^2)]=2\log(1+\gamma) was false. e.g. for gamma = 2exp(-1/2) -1, p(x) = 2/pi * 1/(1+x^2)^2 maximize entropy under the mentioned constraint. undo

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  • curprev 04:0904:09, 30 September 2023 AnomieBOT talk contribs 46,194 bytes +298 Rescuing orphaned refs ("cumfreq" from rev 1171710108) undo
  • curprev 02:0602:06, 30 September 2023 104.231.150.151 talk 45,896 bytes −1,206 None of this is true. The peak of a normal distribution and generalized Cauchy distribution are not directly comparable because both peaks depend on the scale parameter. For the standard distributions, the normal will have a higher peak. A Cauchy distribution will ALWAYS have bigger tails than a normal distribution, irrespective of scale. undo Tag: section blanking

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