Displaying similar documents to “On the distribution of squares of integral quaternions II”

Non-central generalized F distributions

Célia Nunes, João Tiago Mexia (2006)

Discussiones Mathematicae Probability and Statistics

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The quotient of two linear combinations of independent chi-squares will have a generalized F distribution. Exact expressions for these distributions when the chi-square are central and those in the numerator or in the denominator have even degrees of freedom were given in Fonseca et al. (2002). These expressions are now extended for non-central chi-squares. The case of random non-centrality parameters is also considered.

On a property of the F distribution.

Alfred E. Crofts Jr. (1982)

Trabajos de Estadística e Investigación Operativa

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Suppose that U has an F distribution with ν and ν degrees of freedom. It is well known that as ν approaches infinity, the limiting distribution of νU is chi-square with ν degrees of freedom.