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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 확률과 통계 > 일반
· ISBN : 9783790811117
· 쪽수 : 300쪽
· 출판일 : 1998-05-20
목차
Optimal Design: Optimum Chemical Balance Weighing Designs Under Equal Correlations of Errors; E-Optimal Designs for the Double Exponential Model; Comparison of Spectral and Hadamard Bounds for D-Optimality; Characteristic Polynomial Criteria in Optimal Experimental Design; MV-Optimization in Weighted Linear Regression; Analytical Theory of E-Optimal Designs for Polynomial Regression on a Segment; Optimal Designs for Models with Ignored Heteroscedasticity; D-Optimal Designs for Weighted Polynomial Regression Without any Initial Terms; Selective Random Search for Optimal Experimental Designs; Asymptotic Upper Bounds for the Optimal Design Length in Factor Screening Experiments; On the Equal Allocation Rules in Quantal Dose-Response Experiments.- Parameter Estimation: On Sequential Estimation of Parameters for Linear Regression with Martingale Noise; Interval Analysis for Guaranteed Nonlinear Parameter Estimation; A Numerical Study of Singularly Pertubed Markovian Systems; Breakdown Points of Estimators for Aspects of Linear Models; Approximate Densities of Two Bias-Corrected Nonlinear LS Estimators; On Robust Estimation of a Correlation Coefficient and Correlation Matrix.- Hypothesis Testing: Designing Experiments for Adaptively Fitted Models; Testing Genetic Parameters in the Mixed Model of Triallel Analysis; Non-Parametric Search for Significant Variables of a Linear Model; Two-Stage Designs for Model Discrimination and Parameter Estimation; Determination of the Size of an Experiment.- Foundations and Developments in Experimental Design: Multivariate Prediction: Selection of the Most Informative Components to Measure; The Generalized Beta-Method in Taguchi Experiments; Some Statistical Properties of Nested Block Designs; A New Interpretation of Design Measures; Risk Based Optimal Designs; Quality Improvement Through Mechanistic Models.- The Teaching of Experimental Design: Teaching Experimental Design; Discussion on 'Teaching Experimental Design'.