ChiSquareRandomVariable - Maple Help
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Student[Statistics]

  

ChiSquareRandomVariable

  

Chi-square random variable

 

Calling Sequence

Parameters

Description

Examples

References

Compatibility

Calling Sequence

ChiSquareRandomVariable(nu)

Parameters

nu

-

first parameter

Description

• 

The chi-square random variable is a continuous probability random variable with probability density function given by:

  

subject to the following conditions:

• 

The ChiSquare variate with nu degrees of freedom is equivalent to the Gamma variate with scale  and shape nu/2:  ChiSquare(nu) ~ Gamma(2,nu/2).

• 

The ChiSquare variate is related to the FRatio variate by the formula FRatio(nu,omega) ~ (ChiSquare(nu)*omega)/(ChiSquare(omega)*nu)

• 

The ChiSquare variate is related to the Normal variate and the StudentT variate by the formula StudentT(nu) ~ Normal(0,1)/sqrt(ChiSquare(nu)/nu)

Examples

(1)

(2)

(3)

(4)

(5)

References

  

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

  

Johnson, Norman 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.

Compatibility

• 

The Student[Statistics][ChiSquareRandomVariable] command was introduced in Maple 18.

• 

For more information on Maple 18 changes, see Updates in Maple 18.

See Also

Student

Student[Statistics]

Student[Statistics][ChiSquareRandomVariable]

Student[Statistics][RandomVariable]

 


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