# Statistics


Statistics

## Estimation

(MLE)

### Uniformly Minimum Variance Unbiased Estimator

UMVUE, sometimes called MVUE or UMVU.

## Tests

### Basic Tests

#### T-test

Used to test the mean.

#### F-test

Use to test the ratio of variances.

UMP Test

## Confidence Sets

Confidence Intervals

## Bootstrapping

Wikipedia
Boostrapping is used to sample from your sample to get a measure of accuracy of your statistics.

### Nonparametric Bootstrapping

In nonparametric bootstrapping, you resample from your sample with replacement.
In this scenario, you don't need to know the family of distributions that your sample comes from.

### Parametric Bootstrapping

In parametric bootstrapping, you learn the distribution parameters of your sample, e.g. with MLE.
Then you can generate samples from that distribution on a computer.