Mar 5, 2012 · 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 …

Jun 12, 2017 · Likelihood is a function that tell you about the relative chance that this value of θ θ could produce your data (in that ratios of likelihoods can be thought of as ratios of probabilities …

Oct 3, 2019 · The likelihood is a pdf, it's just normalised w.r.t all possible data outcomes, and the posterior is a pdf, but it's normalised w.r.t all possible parameter values Even if the likelihood …

Sep 27, 2015 · Likelihood is simply an "inverse" concept with respect to conditional probability. However, there seems to be something of a disingenuous sleight of hand here: on a purely …

Nov 29, 2023 · A likelihood ratio test is just a particular type of hypothesis test where the test statistic is obtained in a specific way. They arise out of Neyman and Pearson's attempt to find …

Nov 11, 2015 · Likelihood ratio tests are favored due to the Neyman-Pearson Lemma. Therefore, when we attempt to test two simple hypotheses, we will take the ratio and the common leading …

Mar 8, 2021 · The Neyman-Pearson Lemma says that when you have just a single-point null and single-point alternative that the most powerful test is the test based on the likelihood ratio (at …

Sep 7, 2021 · The "true" likelihood of a distribution may involve very complicated normalizing factors, especially in multivariate cases. This may make using true maximum likelihood …

Jun 28, 2019 · Are you confused about why taking the logarithm allows us to calculate the maximum of the original likelihood function, why we assume a maximum without taking a …

Could anyone explain to me in detail about maximum likelihood estimation (MLE) in layman's terms? I would like to know the underlying concept before going into mathematical derivation …