chi-square distributionとは 意味・読み方・使い方

別の表記

• chi-squared distribution
• χ² distribution

名詞

chi-square distribution (plural chi-square distributions)

1. (statistics) A probability distribution widely used in inferential statistics.
   • 1992, Harold R. Lindman, Analysis of Variance in Experimental Design, Springer, Softcover Reprint, page 7,

     The chi-square distribution with ${\displaystyle \nu }$ degrees of freedom is defined to be the distribution of the sum of ${\displaystyle \nu }$ independent squared random variables, each having the standard normal distribution.

   • 2003, Chin Long Chiang, Statistical Methods of Analysis, World Scientific Publishing, page 204:

     The family of chi-square distributions, like the "Student's" t distributions, has an infinite number of members, one for each number of degrees of freedom.

   • 2012, Anthony J. Hayter, Probability and Statistics for Engineers and Scientists, 4th edition, Cengage Learning, page 254:

     The degrees of freedom of a chi-square distribution are usually denoted by the Greek letter ${\displaystyle \nu }$ and can take any positive integer value.

使用する際の注意点

The synonym central chi-square distribution is sometimes used in distinction with the more general noncentral chi-square distribution.

同意語

• (probability distribution): central chi-square distribution

関連する語

• chi-square test

参考

• chi distribution