# Questions tagged [point-estimation]

Point estimation is the application of an estimator to the data in order to learn about a certain population parameter.

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### When are Bayes estimators injective as a function of sufficient statistics?

I know that Bayes estimators can be written only as a function of sufficient statistics. When are those functions injectives? That is, when can I say that, given a bayes estimator $\delta (\cdot)$ and ...
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### Uncertainties when fitting an image

I know how to fit a straight line to a set of 2d points with uncertainties on both coordinates, in order to obtain estimators, goodness-of-fit, and uncertainties - see for instance Press & ...
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### What is the difference between unbiasedness, consistency and efficiency of estimators? How are these interrelated among themselves? [duplicate]

!Efficiency(https://stackoverflow.com/20240427_193105.jpg). Given snapshot of the book states that among the class of consistent estimators, in general, more than one consistent estimator of a ...
1 vote
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### Is this Maximum Likelihood Estimate (MLE) scenario possible? [duplicate]

I'm a stats novice, and I'm currently looking into ML estimates for phylogenetic trees. I've had this "philosophical" problem with the MLE method in general ever since I learned about it. ...
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1 vote
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### How does reparametrization of the Fisher information matrix change the variance expression for the sufficient statistics?

If I have an exponential family distribution of the form $$p_{\theta}(x) = e^{\theta^T\cdot t(x) - \psi(\theta)},$$ where $\theta$ is a vector of parameters, $t(x)$ is a vector of sufficient ...
1 vote
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### Do I need a "likelihood Jacobian" for point estimation?

Scenario 1 Suppose that you work in a lumber yard and are given the following measurements of the weights of various pieces of lumber: x = [10, 26, 28, 13, 16, 7] ...
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