The "likelihood" is the probability density function, which can be greater than 1 for continuous distributions with a fairly narrow spread. For discrete distributions, the density never exceeds 1, in which case the log(likelihood) would always be negative(*).

hope this helps. spencer graves
(*) If you are using measure-theoretic probability with some non-standard measure, it might be possible to get a discrete probability density greater than 1. One might want to use such as a class exercise, but I can't think of a real world application for such.


Peter Alspach wrote:

Kia ora

I'm a using lme (from nlme package) with data similar to the Orthodont dataset and 
am getting positive log-likelihoods (>100).  This seems usual and I wondered if 
someone could offer a possible explanation.

I can supply a sample dataset if requested, but I feel almost certain that this 
question has been asked and answered recently.  However, I can find no trace of 
it in the mail archives (although I have spent several hours reading lots of 
other interesting things :-)).

Thanks .........

Peter Alspach


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