Titlebook: Contemporary Experimental Design, Multivariate Analysis and Data Mining; Festschrift in Honou Jianqing Fan,Jianxin Pan Book 2020 Springer N

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An Application of the Theory of?Spherical Distributions in Multiple Mean Comparison of variance (ANOVA) requires the assumption of equal variances across groups. When variations across groups are found to be different, classical ANOVA method is essentially inapplicable for multiple mean comparison. Although various approximation methods have been proposed to solve the classical Be

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Estimating the Location Vector for Spherically Symmetric Distributionshe form . dominate the . under quadratic loss if the following conditions hold: (i) . where . is superharmonic, (ii) . is nondecreasing in .,? where . has a uniform distribution in the sphere centered at . with a radius . and (iii) . In this paper we not only use a weaker condition than their (ii) t

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On Equidistant Designs, Symmetries and?Their Violations in Multivariate Modelsicular we concentrate on equidistant designs, symmetric and asymmetric models. We discuss equidistant designs from perspective of optimal designs of experiments with correlated errors. We address symmetry and asymmetry of statistical multivariate models and its recent developments. Several applicati

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Modified Robust Design Criteria for Poisson Mixed Modelsects parameters, a modification of the two robust design criteria is proposed by applying the number-theoretic methods. The simulated annealing algorithm is used to find the optimal exact designs. The results show that the modified optimal designs perform better in the relative .-efficiency and programming time.

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