Econometrics HT 18

Chapter 14 : Some distributions

By Lund University

In preparation for inference in the LRM.

Some distributions

In order to prepare for the next chapter, dealing with inference in the linear regression model, we need to discuss a couple of families of random variables. Specifically, we will look at the chi-square distribution, the t-distribution, and the F distribution and we will also look at the concept critical value.

The chi-square distribution

The t-distribution

The F-distribution

Critical values

Problems

Problems

Expected value and variance of a chi-square 1

Expected value and variance of a chi-square k

Probabilities from the chi-square

Variance of a t-distribution

Probabilities from a t-distribution

The F-distribution with 1,k degrees of freedom

Probabilities from an F-distribution

Critical values

Calculate probabilities using Monte-Carlo simulation