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Answer by Sextus Empiricus for Why is everything based on likelihoods even...
likelihood $\neq$ probabilityThe likelihood function is not the same as a probability distribution and it can be defined up to a constant.Seperating likelihood from probability has always been tricky,...
View ArticleAnswer by Steven Gubkin for Why is everything based on likelihoods even...
If you flip a coin which is known to be weighted $100$ times and it comes up heads $80$ times, then you probably have a guess as to what the weight might be.One way to formalize this intuition is to...
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Answer by Durden for Why is everything based on likelihoods even though...
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...
View ArticleAnswer by ADAM for Why is everything based on likelihoods even though...
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...
View ArticleAnswer by Michael Lew for Why is everything based on likelihoods even though...
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...
View ArticleWhy is everything based on likelihoods even though likelihoods are so small?
Suppose I generate some random numbers from a specific normal distribution in R:set.seed(123)random_numbers <- rnorm(50, mean = 5, sd = 5)These numbers look like this: [1] 2.1976218 3.8491126...
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