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AuthorLiski, Erkki P. author
TitleTopics in Optimal Design [electronic resource] / by Erkki P. Liski, Nripes K. Mandal, Kirti R. Shah, Bikas K. Sinha
ImprintNew York, NY : Springer New York : Imprint: Springer, 2002
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Descript XI, 164 p. 7 illus. online resource


In the early nineties, at the initiative of Sinha and financial support of Shah and Liski (from their respective Research Project Funds), the authors - inspired by their similar research interests - started collaborative research at various institutions mostly in pairs and triplets. It took more time and efforts on the part of MandaI to visit the others at regular intervals and keep track of their common as well as diverse research areas and merge his own. From this collaborative work, the concept of this monograph took a preliminary shape only last year and serious efforts were started to combine diverse avenues into one. Admittedly, it took more time than expected to converge to a common platform regarding the contents and broad coverage of the topics to be included. We were mostly guided by our own common research interests spanning over the last ten years. That covered optimal designs in both discrete and continuous settings. Availability of huge published literature in various statistical journals on the broad theme of optimal designs has made our task quite interesting and stimulating. We hope our readers will be as excited and delighted to read the monograph as we have been in our efforts to write it


Scope of the Monograph -- and Literature Review -- Some Useful Linear Models -- Estimation of Regression Parameters in RCR Models -- Summary -- References -- Optimal Regression Designs in Symmetric Domains -- Loewner Comparison of Designs -- Polynomial Fit Models -- Multi-Factor First-Degree Polynomial Fit Models -- References -- Optimal Regression Designs in Asymmetric Domains -- de la Garza Phenomenon in Quadratic and Cubic Regression -- Optimal Designs for Parameter Estimation in RCR Models -- Optimal Designs for Prediction in RCR Models -- Optimal Designs for Inverse Prediction in RCR Models -- References -- Optimal Designs for Covariatesโ{128}{153} Models with Structured Intercept Parameter -- Optimal Regression Designs with One-Way Classified Intercepts -- Optimal Regression Designs with Two-Way Classified Intercepts -- Concluding Remarks -- References -- Stochastic Distance Optimality -- Properties of the DS-Optimality Criterion -- Discrete DS-Optimal Designs -- DS-Optimal Regression Designs -- Generalizations of DS-Optimality -- References -- Designs in the Presence of Trends -- Preliminaries -- Optimality within Restricted Classes -- Optimal Designs in V(v, b, k) -- Efficiency Bounds -- References -- Additional Selected Topics -- Optimal Designs for a Competing Effects Model -- Split Block Designs -- Nested Experimental Designs -- Optimality Status of Incomplete Layout Three-Way Balanced Designs -- Optimal Designs Under Heteroscedastic Errors in Linear Regression -- References -- Author Index

Statistics Statistics Statistical Theory and Methods


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