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

and

Uniform distribution:

Pareto distribution: For

- Jun 8th 2010, 07:38 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

- Jun 8th 2010, 08:13 PMmr fantastic
- Jun 9th 2010, 01:33 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

- Jun 9th 2010, 01:46 AMmr fantastic
- Jun 9th 2010, 01:51 AMacevipa
- Jun 9th 2010, 01:56 AMmr fantastic
- Jun 9th 2010, 02:01 AMacevipa