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D. R. Jensen
Researcher at Virginia Tech
Publications - 5
Citations - 181
D. R. Jensen is an academic researcher from Virginia Tech. The author has contributed to research in topics: Gaussian & Joint probability distribution. The author has an hindex of 4, co-authored 5 publications receiving 178 citations.
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Journal ArticleDOI
A Gaussian Approximation to the Distribution of a Definite Quadratic Form
D. R. Jensen,Herbert Solomon +1 more
TL;DR: In this paper, a new Gaussian approximation to the noncentral chi-square (x2) distribution is found for which the coefficient of skewness is smaller than a cube root transformation in the literature.
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An Inequality for a Class of Bivariate Chi-Square Distributions
TL;DR: In this paper, it was shown that the inequality holds when the joint distribution of U 1 and U 2 is a member of a class of bivariate Chi-square distributions given, and the relevance of this result to the construction of two-sided simultaneous confidence intervals for variances is noted.
Journal ArticleDOI
Approximations to Joint Distributions of Definite Quadratic Forms
D. R. Jensen,Herbert Solomon +1 more
TL;DR: In this paper, the multidimensional Wilson-Hilferty transformations support Gaussian approximations to certain joint distributions of quadratic forms in jointly Gaussian variates.
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Simultaneous Confidence Intervals for Variances
D. R. Jensen,M. Q. Jones +1 more
TL;DR: In this article, exact procedures are developed in terms of multivariate Chi-square distributions, and more general approximate procedures are given via Bonferroni's inequality for a variety of parameter values, and it always is superior to the Roy-Gnanadesikan procedure in the bivariate case examined.
Journal ArticleDOI
Efficiency of Friedman's χ2 r Test Under Dependence
D. R. Jensen,Y. V. Hui +1 more
TL;DR: In this article, the authors studied the χ2 r test when observations within blocks are independent and when they are exchangeably dependent and found that the limiting power increases monotonically with the canonical correlations of distributions having expansions in canonical form, the stochastically decreasing character of mixing distributions in certain exchangeable sequences, and an index of peakedness in a class of distributions containing exchangeable Cauchy and Gaussian laws.