Statistics[Distributions] - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Statistics and Data Analysis : Statistics Package : Distributions : Statistics/Distributions/Maxwell

Statistics[Distributions]

  

Maxwell

  

Maxwell distribution

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

Maxwell(alpha)

MaxwellDistribution(alpha)

Parameters

alpha

-

scale parameter

Description

• 

The Maxwell distribution is a continuous probability distribution with probability density function given by:

ft=0t<021πt2&ExponentialE;t22α2α3otherwise

  

subject to the following conditions:

0<α

• 

Note that the Maxwell command is inert and should be used in combination with the RandomVariable command.

Examples

withStatistics&colon;

XRandomVariableMaxwell&alpha;&colon;

PDFX&comma;u

&lcub;0u<021&pi;u2&ExponentialE;12u2&alpha;2&alpha;3otherwise

(1)

PDFX&comma;0.5

0.1994711401&ExponentialE;0.1250000000&alpha;2&alpha;3

(2)

MeanX

22&alpha;&pi;

(3)

VarianceX

&alpha;23&pi;8&pi;

(4)

References

  

Evans, Merran; Hastings, Nicholas; and Peacock, Brian. Statistical Distributions. 3rd ed. Hoboken: Wiley, 2000.

  

Johnson, Normal L.; Kotz, Samuel; and Balakrishnan, N. Continuous Univariate Distributions. 2nd ed. 2 vols. Hoboken: Wiley, 1995.

  

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

See Also

Statistics

Statistics[Distributions]

Statistics[RandomVariable]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam