General equivalence theory for optimum designs (approximate theory)

From MaRDI portal
Publication:1211333

DOI10.1214/aos/1176342810zbMath0291.62093OpenAlexW2017351261MaRDI QIDQ1211333

J. Kiefer

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1214/aos/1176342810




Related Items (only showing first 100 items - show all)

Polars and subgradients of mixtures of information functionsConditions for optimality in experimental designs\(A\)-optimal chemical balance weighing design with correlated errorsAdaptative design for estimation of parameter of second order differential equation in fractional diffusion systemOptimal design of experiments via linear programmingPolynomial designs. II : Some existence results of exact rotatable spherical designsDesign admissibility and de la Garza phenomenon in multifactor experiments\(\Phi\) admissibility for linear estimators on regression coefficients in a general multivariate linear model under balanced loss functionOptimal discrimination designsSubdifferentiability and Lipschitz continuity in experimental design problemsOptimal designs for mixture amount experimentsSpectral methods in linear minimax estimationSpectral theory of minimax estimation\(T\)-optimal designs for discrimination between rational and polynomial modelsElfving's theorem for \(R\)-optimality of experimental designsThe pseudo component transformation design for experiment with mixtureLocally D-optimal designs for binary responses in the presence of factorial effectsOptimality regions for designs in multiple linear regression models with correlated random coefficientsLocally \(D\)-optimal designs for heteroscedastic polynomial measurement error modelsBregman divergences based on optimal design criteria and simplicial measures of dispersionRobust and efficient design of experiments for the Monod modelPractical identifiability of HIV dynamics modelsD-optimal designs for multinomial logistic modelsD-optimal designs for logistic models with three and four parameters\(D\)-efficient Bayesian designs for a class of nonlinear modelsOn the \(S\)-matrix conjecture\(\Phi\) admissibility of stochastic regression coefficients in a general multivariate random effects model under a generalized balanced loss functionOptimal design for linear models with correlated observations\(R\)-optimal designs for trigonometric regression modelsA delimitation of the support of optimal designs for Kiefer's \(\phi _p\)-class of criteriaStrict monotonicity and convergence rate of Titterington's algorithm for computing D-optimal designsPlanning step-stress test plans under type-I hybrid censoring for the log-location-scale distributionOptimal designs for mixed continuous and binary responses with quantitative and qualitative factorsLocally optimal designs for mixed binary and continuous responsesApproximate optimal designs for multivariate polynomial regressionConstructing \(c\)-optimal designs for polynomial regression without an interceptOptimal design of experiments with simulation models of nearly saturated queuesOptimal designs for a one-way layout with covariatesAn alternative criterion useful for finding exact \(E\)-optimal designs\(R\)-optimal designs for individual prediction in random coefficient regression modelsA new monotonic algorithm for the \(E\)-optimal experiment design problemOptimal designs for comparing population curves in hierarchical modelsEfficient experimental designs for sigmoidal growth modelsRobust optimal experiment design for system identificationMinimax \(D\)-optimal designs for item response theory modelsOptimal designs for estimating the coefficients of the lower frequencies in trigonometric regression modelsOptimal design for second degree \(K\)-model for mixture experiments based on weighted simplex centroid designA semi-infinite programming based algorithm for determining T-optimum designs for model discriminationOptimal designs for panel data linear regressionsOptimal designs for a class of nonlinear regression modelsLocally D-optimal designs for multistage models and heteroscedastic polynomial regression modelsLocal \(c\)- and \(E\)-optimal designs for exponential regression modelsMaximin efficient design of experiment for exponential regression modelsOn optimal designs for nonregular modelsA general approach to \(D\)-optimal designs for weighted univariate polynomial regression modelsOptimal designs for estimating individual coefficients in polynomial regression with no interceptA comparison of general-purpose optimization algorithms for finding optimal approximate experimental designsOptimality of experimental designsOptimal group testing designs for prevalence estimation combining imperfect and gold standard assaysSome explicit solutions of \(c\)-optimal design problems for polynomial regression with no interceptOptimal and robust invariant designs for cubic multiple regressionOptimum robust testing in linear modelsOptimal designs for the identification of the order of a Fourier regressionCoherent dispersion criteria for optimal experimental designOptimal designs for binary response models with multiple nonnegative variablesOptimal design for adaptive smoothing splinesA-optimal designs for quadratic mixture canonical polynomials with splineOptimal designs for model averaging in non-nested modelsOptimal exact designs of experiments via mixed integer nonlinear programmingOptimal designs in sparse linear modelsOptimal experimental design for linear time invariant state-space modelsA branch-and-bound algorithm for the exact optimal experimental design problemEquivalence theorems for multiple-design problems with application in mixed modelsOptimization of multiplex measuring systems in the presence of statistical signal fluctuationsOn optimal third order rotatable designs\(D\)-optimal designs for hierarchical linear models with intraclass covariance structureExcess and saturated \(D\)-optimal designs for the rational modelProperties of optimal regression designs under the second-order least squares estimatorOptimal spatial monitoring of populations described by reaction-diffusion models\(R\)-optimality criterion for regression models with asymmetric errorsOptimal design for multivariate multiple linear regression with set-identified responseOptimal designs for regression models with a constant coefficient of variationOptimal biased weighing designs and two-level main-effect plansOptimal designs for rational regression models\(D\)-optimal designs for Poisson regression with synergetic interaction effect\(D\)-optimal design for a model with interaction between a qualitative and a quantitative factor in the presence of random block effects\(I_L\)-optimal designs for regression models under the second-order least squares estimatorEfficiency of the coordinate-exchange algorithm in constructing exact optimal discrete choice experimentsAliasing effects for random fields over spheres of arbitrary dimensionOptimizing the allocation of trials to sub-regions in multi-environment crop variety testingD-optimal design of the additive mixture model with multi-responseA sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problemsConstrained \(D\)- and \(D_ 1\)-optimal designs for polynomial regression.Robust designs for polynomial regression by maximizing a minimum of \(D\)- and \(D_1\)-efficienciesExperimental designs in triangular simultaneous equations models\(D\)-optimal designs for hierarchical linear models with heteroscedastic errorsOptimal designs for semi-parametric dose-response models under random contaminationStudy of the excess property of the \(L\)-optimal design for the label modelOn the design of field experiments with correlated treatment effectsA note on optimal designs in weighted polynomial regression for the classical efficiency functions




This page was built for publication: General equivalence theory for optimum designs (approximate theory)