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The book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffe s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model. Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book. It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments."
CONTENTS: Partially Adaptive Rank and Regression Rank Scores Tests in Linear Models; An Analysis of Nonoparametric Smoothers; Supercritical Branching Random Walk in D-Dimensional Random Environment; Lack of Fit Tests in Regression With Non-Random Design; Asymptotics of the Deepest Line; Multivariate Rank Statistics Processes and Change Point Analysis; Improved Estimation of the Parameters of an Autoagressive Gaussian Process Under Uncertain Restrictions; Testing Normality For Censored Data; Large Sample theory For Estimators of the Moments Based On Synthetic Data Under Randomly Right-Censoring; The Stein Phenomenon in Simultaneous Estimation: A Review; Two Techniques of Integration By Parts and Some Applications; Conditional Confidence Intervals of Regression Coefficients Following Rejection of Preliminary Test; Order Preserving Estimators of Eigenvalues of the Scale Matrix in the Multivariate F Distribution Under Stein's Loss Function; Sequential Estimation of the Man of An Exponential Distribution Via Partial Piece Wise Sampling; Recent Developments on Probability Matching Priors; On the Informative Presentation of Likelihood; Bahadur Risk, Exponential Families and Recursive Estimation; Some Quick Estimators Based on Sample Maxima; Inferences of Power Function Distribution Based on Ordered Random Variables; Estimation of the Location Parameter of A Cauchy Distribution Using A Ranked Set Sample; On A Delayed Service Queuing System With Random Server Capacity and Impatient Customers; Canonical Co-ordinated for Graphical Representation of Multivariate Data; Some Single Use Confidence Regions in Multivariate Calibration Problem; The Likelihood Ratio Test of Non-Nested Linear Regression Models; Exact Power of Classical Tests for Bivariate Linear Hypothesis; Characterisation of the Gamma and the Complex Case Wishart Densities; Jack-knife and Robust Estimation for the Parameters in Pharmocokinetes.
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