Re: model selection problem



Carsten Steinhoff wrote:
> Hello experts,
>
> I want to select the "optimal" distribution from a set of "assumable"
> models. The selection criterion will be AIC or BIC which is based on the
> empirical LogLik. Now my problem:
>
> I've made experiments with the Log-Gamma-Distribution. This DF in some
> cases could be best fit for my problem. But - as I think due to the
> log(x) as input - the LogLik for this function is very very small
> compared with the LogLik of other DFs fitted to the same dataset (e.g.
> Weibull, Lognormal etc). Following a LogLik derived criterion the
> LG-Distr should be best fitting in EVERY case. Graphics show me that it
> does sometimes, but other times does not.
>
> Where is the error, or how could I make the Log-Gamma compareable to the
> others?
>
> Thanks for any hint.
>
> Carsten
>
> P.S.: The LG is the only DF that is not ready-made in my stat-Software
> (R). And so I use DFgamma(log(x)) to "generate" it.

Carsten,

Log Likelihood incorporates probabilities rather than actual values of
x or log(x). Therefore, I cannot see a reason why the Log Likelihood
would get smaller or higher just because you take log of x.

HTH,
Vadim Pliner

.



Relevant Pages

  • model selection problem
    ... The selection criterion will be AIC or BIC which is based on the ... I've made experiments with the Log-Gamma-Distribution. ... But - as I think due to the logas input - the LogLik for this function is very very small compared with the LogLik of other DFs fitted to the same dataset ... Following a LogLik derived criterion the LG-Distr should be best fitting in EVERY case. ...
    (sci.stat.math)
  • Re: model selection problem
    ... The selection criterion will be AIC or BIC which is based on the ... > empirical LogLik. ... I cannot see a reason why the Log Likelihood ...
    (sci.stat.math)