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Bookmark or Share- What is the difference between "likelihood" and "probability"?The wikipedia page claims that likelihood and probability are distinct concepts.. In non-technical parlance, "likelihood" is usually a synonym for "probability," but in statistical usage there is a clear distinction in perspective: the number that is the probability of some observed outcomes given a set of parameter values is regarded as the likelihood of the set of parameter values given the ...
- estimation - What is the difference between a partial likelihood ...The marginal likelihood is the primary method to eliminate nuisance parameters in theory. It's a true likelihood function (i.e. it's proportional to the (marginal) probability of the observed data). The partial likelihood is not a true likelihood in general. However, in some cases it can be treated as a likelihood for asymptotic inference.
- How to calculate the likelihood function - Cross ValidatedAdmittedly though, looking at the likelihood like this, may make more clear the fact that what matters here for inference (for the specific distributional assumption), is the sum of the realizations, and not their individual values: the above likelihood is not "sample-specific" but rather "sum-of-realizations-specific": if we are given any ...
- Why do people use $\\mathcal{L}(\\theta \\mid x)$ for likelihood ...Likelihood is a function that tell you about the relative chance that this value of $\theta$ could produce ...
- What is "restricted maximum likelihood" and when should it be used?"The maximum likelihood (ML) procedure of Hartley aud Rao is modified by adapting a transformation from Patterson and Thompson which partitions the likelihood render normality into two parts, one being free of the fixed effects. Maximizing this part yields what are called restricted maximum likelihood (REML) estimators."
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