Inequalities and positive-definite functions arising from a problem in multidimensional scaling

DOI10.1214/aos/1176325376zbMath0834.62060OpenAlexW2081531484MaRDI QIDQ1327850

B. F. Logan, Andreas Buja, James A. Reeds, Lawrence A. Shepp

Publication date: 29 June 1994

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176325376

zbMATH Keywords

variational problempotential theoryWiener-Hopf techniquespherical symmetrymultidimensional scalingnonnegative definitenessmaximal expected distancesigned measures of zero integral

Mathematics Subject Classification ID

Multivariate analysis (62H99) Inference from stochastic processes (62M99) Positive definite functions in one variable harmonic analysis (42A82) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Inequalities involving derivatives and differential and integral operators (26D10)

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