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a method of estimating parameters of a statistical model by choosing the parameter value that optimizes the probability of observing the given sample.

2 votes
0 answers
39 views

Confidence interval for the quantiles given interval for parameter

Let us say we have a random sample $X_1,...,X_n\sim F(\theta)$ and we do inference over $\theta$ and give a maximum likelihood estimate $\hat{\theta}$ and a confidence interval at the $\alpha$% given …
8 votes

Maximum likelihood estimator that is not a function of a sufficient statistic

Nothing is wrong with what you said, just the statement that every maximum likelihood estimator has to be a function of any sufficient statistic, which is false as stated. A more correct form of putti …
Jesús A. Piñera's user avatar