Chemistry Reference and Research
           
 
Periodic Table
- standard table
- large table
 
Chemical Elements
- by name
- by symbol
- by atomic number
 
Chemical Properties
 
Chemical Reactions
 
Organic Chemistry
 
Branches of Chemistry
Analytical chemistry
Biochemistry
Computational Chemistry
Electrochemistry
Environmental chemistry
Geochemistry
Inorganic chemistry
Materials science
Medicinal chemistry
Nuclear chemistry
Organic chemistry
Pharmacology
Physical chemistry
Polymer chemistry
Supramolecular Chemistry
Thermochemistry

Rayleigh distribution

Rayleigh distribution is a probability distribution.

The probability density function is

f(x; \beta) = \frac{x \exp\left(\frac{-x^2}{2\beta^2}\right)}{\beta^2} \quad \mbox{for } x \in [0, \infty).

It is derived from an exponential distribution by the transformation:

R = \sqrt{\frac{2X}{\beta}}.

Mean: \beta \sqrt{\frac{\pi}{2}}

Variance: \frac{4 - \pi}{2} \beta^2

Skewness: \frac{2(\pi - 3) \sqrt{\pi}}{(4 - \pi)^{3/2}}

Kurtosis: - \frac{6\pi^2 - 24\pi +16}{(\pi - 4)^2}

See also
01-04-2007 01:16:19
The contents of this article are licensed from Wikipedia.org under the GNU Free Documentation License. How to see transparent copy