Rayleigh Distribution
The distribution with Probability Function
 | (1) |
. The Moments about 0 are given by |  |  | |
 |  | (2) |
where
is a Gaussian Integral. The first few of these are | |  | (3) |
 | |  | (4) |
 | |  | (5) |
 | |  | (6) |
 | |  | (7) |
so
 | |  | (8) |
 | |  | (9) |
 | |  | (10) |
 | |  | (11) |
 | |  | (12) |
The Moments about the Mean are
 | |  | (13) |
 | |  | (14) |
 | |  | |
|  | (15) |
so the Mean, Variance, Skewness, and Kurtosis are
 | |  | (16) |
 | |  | (17) |
 | |  | (18) |
 | |  | (19) |
- Line Graph
- Line Integral
- Line of Curvature
- Line Segment
- Line Space
- L(infinity)-Norm
- Link
- Linkage
- Link Diagram
- Linking Number
- Links Curve
- Linnik's Constant
- Linnik's Theorem
- Lin's Method
- Liouville Function
- Liouville Measure
- Liouville Number
- Liouville Polynomial Identity
- Liouville-Roth Constant
- Liouville's Boundedness Theorem
- Liouville's Conformality Theorem
- Liouville's Conic Theorem
- Liouville's Constant
- Liouville's Elliptic Function Theorem
- Liouville Space