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Friedrich Pukelsheim

Researcher at Augsburg College

Publications -  128
Citations -  3825

Friedrich Pukelsheim is an academic researcher from Augsburg College. The author has contributed to research in topics: Optimal design & Apportionment. The author has an hindex of 28, co-authored 126 publications receiving 3478 citations. Previous affiliations of Friedrich Pukelsheim include University of Washington & Stanford University.

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The Three Sigma Rule

TL;DR: For random variables with a unimodal Legesgue density, the 3[sgrave] rule is proved by elementary calculus as discussed by the authors, which emerges as a special case of the Vysochanski-Petunin inequality, which in turn is based on the Gauss inequality.
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The distance between two random vectors with given dispersion matrices

TL;DR: In this paper, for two p-dimensional random vectors X and Y with dispersion matrices Σ11 and Σ22, respectively, it is shown that the covariance matrix Ψ 0 of X and y that minimizes the L 2 distance between them can be obtained.
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Efficient rounding of approximate designs

TL;DR: The efficient rounding method is a multiplier method of apportionment which otherwise is known as the method of John Quincy Adams or the methodof smallest divisors.
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On the history of the kronecker product

TL;DR: In this article, it was revealed that what is today called the Kronecker product should be called the Zehfuss product, and history revealed that the Zehnfuss Product should be the Kroncker Product.
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Optimal weights for experimental designs on linearly independent support points

TL;DR: In this article, an explicit formula for computing the optimal design weights on linearly independent regression vectors is derived for the mean parameters in a linear model with homoscedastic variances, which is a special case of a general result which holds for a wide class of optimality criteria.