0

Is the ratio of two noncentral exponential distribution the logistic distribution? If yes, How to set the parameter of the logistic distribution using the parameters of noncentral exponential distribution?

user53154
  • 43
  • 1
  • 3
  • Do you have a definition of "noncentral exponential"? Do you mean "noncentral chi-squared with 2df? If so, what values are you suggesting for the two noncentrality parameters? – Glen_b Feb 23 '20 at 08:44
  • e.g. Exp(m, lambda), where m is the location parameter, and lambda is the rate parameter. – user53154 Feb 24 '20 at 16:37
  • That's not a definition, that's just setting up notation/parameters and a name. Is the density different from a noncentral chi-squared with 2df? If it is different from that, you need to link a definition for the density or the cdf or whatever. If not different, you need to answer my last question above. – Glen_b Feb 24 '20 at 23:41
  • It is definitely different from noncentral chi-squared with 2df. What's the relationship between exponential distribution and chi-squared distribution with 2 df? The density function for Exp(m, lambda) is lambda*exp(-lambda*(x-m)). – user53154 Feb 27 '20 at 23:46
  • $\lambda e^{-\lambda(x-m)}$ is the density for a plain shifted-exponential. Where did you see that called "noncentral"? – Glen_b Feb 28 '20 at 00:17
  • What do you think it should call? – user53154 Feb 28 '20 at 00:21
  • https://stats.stackexchange.com/questions/30684/expected-log-value-of-noncentral-exponential-distribution – user53154 Feb 28 '20 at 00:22
  • Thanks for the link. I wrote what it's more usually called just above (shifted exponential). I'm debating about pointing out at that question that there's strong potential for confusion with a special case of the noncentral chi-square and the existence of a less ambiguous term. – Glen_b Feb 28 '20 at 00:23

0 Answers0