If a random variable has a Chi-Squared Distribution with degrees of
freedom () and a random variable has a Chi-Squared Distribution
with degrees of freedom (), and and are independent, then

(1) |

(2) |

(3) | |||

(4) | |||

(5) | |||

(6) |

so the Moments about the Mean are given by

(7) | |||

(8) | |||

(9) |

where

(10) |

(11) | |||

(12) | |||

(13) | |||

(14) |

where

(15) |

(16) |

**References**

Beyer, W. H. *CRC Standard Mathematical Tables, 28th ed.* Boca Raton, FL: CRC Press, p. 536, 1987.

© 1996-9

1999-05-26