Show that the following functions are probability densities, i.e.

and

Uniform distribution:

Pareto distribution: For

- June 8th 2010, 06:38 PMacevipaVerifying that Uniform and Pareto distributions are probability densities
Show that the following functions are probability densities, i.e.

and

Uniform distribution:

Pareto distribution: For

- June 8th 2010, 07:13 PMmr fantastic
- June 9th 2010, 12:33 AMacevipa
Could someone please verify my working?

Uniform Distirbution:

Why is

Now for a Pareto distribution:

Not too sure if you sub in since it's a definite integral. What's the accepted way of evaluating this indefinite integral

Since and

- June 9th 2010, 12:46 AMmr fantastic
- June 9th 2010, 12:51 AMacevipa
- June 9th 2010, 12:56 AMmr fantastic
- June 9th 2010, 01:01 AMacevipa