In probability theory and statistics, the noncentral chi distribution is a generalization of the chi distribution. If are k independent, normally distributed random variables with means and variances, then the statistic
is distributed according to the noncentral chi distribution. The noncentral chi distribution has two parameters: which specifies the number of degrees of freedom (i.e. the number of ), and which is related to the mean of the random variables by:
Read more about Noncentral Chi Distribution: Properties, Bivariate Non-central Chi Distribution, Related Distributions
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“In this distribution of functions, the scholar is the delegated intellect. In the right state, he is, Man Thinking. In the degenerate state, when the victim of society, he tends to become a mere thinker, or, still worse, the parrot of other men’s thinking.”
—Ralph Waldo Emerson (1803–1882)