AbstractIt is shown that differential equations given by the author may be used recursively to construct certain multivariate null distributions in reduced form. These include the distributions of individual latent roots of B = S1(S1 + S2)−1, and distributions of Tr B and Tr S1S2−1, for small numbers of variates
AbstractAlthough distribution theory dates back over a century, the distributions derived were essen...
AbstractIn this paper, the authors derived exact central distributions of the extreme roots of the W...
AbstractIn this paper, the authors obtained asymptotic expressions for the joint distributions of ce...
AbstractIt is shown that differential equations given by the author may be used recursively to const...
AbstractA simple relationship is given between the exact null distribution gm,n(J) of the J-th large...
AbstractAsymptotic expansions of the joint distributions of the latent roots of the Wishart matrix a...
AbstractA lower (upper) bound is given for the distribution of each dj, j = k + 1, …, p (j = 1, …, s...
AbstractAn algorithm is presented for the numerical evaluation of the null distribution of the large...
AbstractAsymptotic expansions are given for the distributions of latent roots of matrices in three m...
A simple relationship is given between the exact null distribution gm,n(J) of the J-th largest laten...
AbstractIn this paper, the authors consider the evaluation of the distribution functions of the rati...
AbstractAn asymptotic expansion for large sample size n is derived by a partial differential equatio...
AbstractIn this paper, the authors derived exact expressions for the joint marginal densities of any...
AbstractIn this paper, the authors cosider the derivation of the exact distributions of the ratios o...
Asymptotic expansions are given for the distributions of latent roots of matrices in three multivari...
AbstractAlthough distribution theory dates back over a century, the distributions derived were essen...
AbstractIn this paper, the authors derived exact central distributions of the extreme roots of the W...
AbstractIn this paper, the authors obtained asymptotic expressions for the joint distributions of ce...
AbstractIt is shown that differential equations given by the author may be used recursively to const...
AbstractA simple relationship is given between the exact null distribution gm,n(J) of the J-th large...
AbstractAsymptotic expansions of the joint distributions of the latent roots of the Wishart matrix a...
AbstractA lower (upper) bound is given for the distribution of each dj, j = k + 1, …, p (j = 1, …, s...
AbstractAn algorithm is presented for the numerical evaluation of the null distribution of the large...
AbstractAsymptotic expansions are given for the distributions of latent roots of matrices in three m...
A simple relationship is given between the exact null distribution gm,n(J) of the J-th largest laten...
AbstractIn this paper, the authors consider the evaluation of the distribution functions of the rati...
AbstractAn asymptotic expansion for large sample size n is derived by a partial differential equatio...
AbstractIn this paper, the authors derived exact expressions for the joint marginal densities of any...
AbstractIn this paper, the authors cosider the derivation of the exact distributions of the ratios o...
Asymptotic expansions are given for the distributions of latent roots of matrices in three multivari...
AbstractAlthough distribution theory dates back over a century, the distributions derived were essen...
AbstractIn this paper, the authors derived exact central distributions of the extreme roots of the W...
AbstractIn this paper, the authors obtained asymptotic expressions for the joint distributions of ce...
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