Previous article Next article On Weighted Polynomial Regression Designs with Minimum Average VarianceM. B. Malyutov and V. V. FedorovM. B. Malyutov and V. V. Fedorovhttps://doi.org/10.1137/1116082PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Henry Scheffé, The analysis of variance, John Wiley & Sons Inc., New York, 1959xvi+477 MR0116429 0086.34603 Google Scholar[2] Samuel Karlin and , William J. Studden, Tchebycheff systems: With applications in analysis and statistics, Pure and Applied Mathematics, Vol. XV, Interscience Publishers John Wiley & Sons, New York-London-Sydney, 1966xviii+586 MR0204922 0153.38902 Google Scholar[3] Samuel Karlin and , William J. Studden, Optimal experimental designs, Ann. Math. Statist., 37 (1966), 783–815 MR0196871 0151.23904 CrossrefGoogle Scholar[4] J. Kiefer and , J. Wolfowitz, The equivalence of two extremum problems, Canad. J. Math., 12 (1960), 363–366 MR0117842 0093.15602 CrossrefGoogle Scholar[5] V. V. Fedorov, Design of experiments for linear optimality criteria, Theory Prob. Applications, 16 (1971), 189–195 10.1137/1116019 0266.62045 LinkGoogle Scholar[6] P. G. Guest, The spacing of observations in polynomial regression, Ann. Math. Statist., 29 (1958), 294–299 MR0094883 0087.15303 CrossrefGoogle Scholar[7A] H. Bateman and , Arthur Erdélyi, Higher transcendental functions. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xxvi+302 MR0058756 0051.30303 Google Scholar[7B] H. Bateman and , Arthur Erdélyi, Higher transcendental functions. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xvii+396 MR0058756 0052.29502 Google Scholar[7C] H. Bateman and , Arthur Erdélyi, Higher transcendental functions. Vol. III, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xvii+292 MR0066496 0064.06302 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Q-optimal experimental designs and close to them experimental designs for polynomial regression on the interval22 May 2020 | Industrial laboratory. Diagnostics of materials, Vol. 86, No. 5 Cross Ref Accurate solutions of weighted least squares problems associated with rank-structured matricesApplied Numerical Mathematics, Vol. 146 Cross Ref Exact Designs Minimising the Integrated Variance in Quadratic RegressionStatistics, Vol. 34, No. 2 Cross Ref An introduction to designh optimality with an overview of the literatureCommunications in Statistics - Theory and Methods, Vol. 7, No. 14 Cross Ref Volume 16, Issue 4| 1971Theory of Probability & Its Applications History Submitted:06 November 1968Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1116082Article page range:pp. 716-720ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics