## The Rayleigh Distribution

The Rayleigh distribution density function has the following form:

This distribution shows up in the aforementioned case when converting two independent normal distributions with the same variance from rectangular to polar coordinates. This a a very common situation because it is the case of looking for the radius distance from the origin in a polar coordinate system. Just as the angle distribution in polar coodinates are uniformly distributed (see Section 11.6), the radial distance from the origin is Rayleigh-distributed. Thus, for the bull's-eye example, the vector from the origin obeys the Ray-leigh law under the circumstances described before.

Unlike the normal distribution, the Rayleigh can be integrated in a straightforward manner. Thus, the CDF for the Rayleigh becomes

and represents, as usual, the probability that the variable is less than or equal to a particular value of x.

## Project Management Made Easy

What you need to know aboutâ€¦ Project Management Made Easy! Project management consists of more than just a large building project and can encompass small projects as well. No matter what the size of your project, you need to have some sort of project management. How you manage your project has everything to do with its outcome.

## Post a comment