# Tag Info

### Why is everything based on likelihoods even though likelihoods are so small?

The key lies not in the absolute size of the likelihood values but in their relative comparison and the mathematical principles underlying likelihood-based methods. The smallness of the likelihood is ...
• 721

### Reconciling optimisation for log-likelihood and Brier score

Although both log-loss and Brier scores provide proper scoring rules, they put emphasis on different regions of the probability distributions. Quoting from Wikipedia: the choice of a scoring rule ...
• 90.8k

### Why is everything based on likelihoods even though likelihoods are so small?

First, as others have mentioned, we usually work with the logarithm of the likelihood function, for various mathematical and computational reasons. Second, since the likelihood function depends on the ...
• 1,205

### Why is everything based on likelihoods even though likelihoods are so small?

I can think of two things that might help you. First, likelihoods are defined only to a proportionality factor and their utility comes from their use in a ratio and while they are proportional to the ...
• 15k