2
votes
1answer
64 views

Under what conditions do Bayesian and frequentist point estimators coincide?

With a flat prior, the ML (frequentist -- maximum likelihood) and the MAP (Bayesian -- maximum a posteriori) estimators coincide. More generally, however, I'm talking about point estimators derived ...
0
votes
0answers
25 views

What if the MVUE depends on the parameter?

The minimum variance, unbiased estimator $\hat \theta$ of $\theta$ is defined by $$\hat \theta = \text{argmin}_{\hat \theta} \; \mathbb{E} \left( (\hat \theta - \theta)^2 \, | \, \theta\right), \quad ...
1
vote
0answers
37 views

Defining Empirical Risk Minimization

I am reading Machine Learning - A probabilistic Perspective by Kevin Murphy and in chapter 6.5 the author discusses Empirical Risk Minimization, and provides the following definition: ...
5
votes
1answer
185 views

Expectation of an estimator?

When evaluating an estimator in a frequentist setting, using MSE and let say to compute the Bias of the estimator we compute the expectation of this estimator, are we supposing that the estimator has ...