Continuous Planning of Regression Experiments

Abstract

Previous article Next article Continuous Planning of Regression ExperimentsS. SokolovS. Sokolovhttps://doi.org/10.1137/1108008PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA procedure of locally-optimum continuous planning of regression experiments is proposed. It gives the maximum speed of accumulation of information and is convenient from the practical point of view.[1] S. N. Sokolov, The measurement giving the most information and its determination for a continuously planned experiment, 1960, Preprint Obedin. Inst. Vader. Issled. D-573 (In Russian.) Google Scholar[2] G. Elfving, Optimum allocation in linear regression theory, Ann. Math. Statistics, 23 (1952), 255–262 MR0047998 0047.13403 CrossrefGoogle Scholar[3] A. de la Garza, Quadratic extrapolation and a related test of hypotheses, J. Amer. Statist. Assoc., 51 (1956), 644–649 MR0084237 0074.14002 CrossrefGoogle Scholar[4] Herman Chernoff, Locally optimal designs for estimating parameters, Ann. Math. Statistics, 24 (1953), 586–602 MR0058932 0053.10504 CrossrefGoogle Scholar[5] A. de la Garza, Spacing of information in polynomial regression, Ann. Math. Statistics, 25 (1954), 123–130 MR0060777 0055.13206 CrossrefGoogle Scholar[6] P. G. Guest, The spacing of observations in polynomial regression, Ann. Math. Statist., 29 (1958), 294–299 MR0094883 0087.15303 CrossrefGoogle Scholar[7] N. P. Sokolov and , S. N. Sokolov, Analysis of experimental data by the method of maximum likelihood, 1958, Chap. 5, Preprint Obedin. Inst. Yader. Issled. P-235, (In Russian.) Google Scholar[8] M. Stone, Application of a measure of information to the design and comparison of regression experiments, Ann. Math. Statist., 30 (1959), 55–70 MR0106528 0094.13602 CrossrefGoogle Scholar[9] J. Kiefer and , J. Wolfowitz, Optimum designs in regression problems, Ann. Math. Statist., 30 (1959), 271–294 MR0104324 0090.11404 CrossrefGoogle Scholar[10] H. A. David and , Beverly E. Arens, Optimal spacing in regression analysis, Ann. Math. Statist., 30 (1959), 1072–1081 MR0110161 0104.37802 CrossrefGoogle Scholar[11] N. P. Klepikov and , S. N. Sokolov, Analysis and planning of experiments by the Method of Maximum Likelihood, Akademie-Verlag, Berlin, 1961, Chap. 5 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A New Approach to the Stochastic Recovery ProblemB. S. Darkhovskii25 July 2006 | Theory of Probability & Its Applications, Vol. 49, No. 1AbstractPDF (170 KB)An introduction to designh optimality with an overview of the literatureCommunications in Statistics - Theory and Methods, Vol. 7, No. 14 Cross Ref The Sequential Design of Experiments Performed at Several Measurement PointsA. Pázman17 July 2006 | Theory of Probability & Its Applications, Vol. 13, No. 3AbstractPDF (803 KB) Volume 8, Issue 1| 1963Theory of Probability & Its Applications History Submitted:06 December 1960Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1108008Article page range:pp. 89-96ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics