Distribution of Quadratic Forms and Some Applications
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Publication:3227173
DOI10.1214/aoms/1177728491zbMath0066.38301OpenAlexW1982537433MaRDI QIDQ3227173
Publication date: 1955
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177728491
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Tolerance regions for a multivariate normal population ⋮ Some nonparametric methods for changepoint problems ⋮ Probabilistic multidimensional scaling: An anisotropic model for distance judgments ⋮ Computation of circular error probabilities ⋮ Cramer-von mises-type tests with applications to tests of independence for multivariate extreme-value distributions ⋮ Multivariate quadratic forms of random vectors ⋮ Applications of the asymmetric eigenvalue problem techniques to robust testing ⋮ Evaluating the density of ratios of noncentral quadratic forms in normal variables ⋮ Testing for symmetry in multivariate distributions ⋮ A Karhunen-Loève decomposition of a Gaussian process generated by independent pairs of exponential random variables ⋮ A Table of Generalized Circular Error ⋮ On the exact distribution of the difference between two chi-square variables ⋮ Maximum likelihood procedure adapted to sampling schemes ⋮ Expressions for the distribution and percentiles of the sums and products of chi-squares ⋮ The distribution function of a linear combination of chi-squares ⋮ A mixture approximation to the distribution of a weighted sum of chi-squared variables
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