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Mathematical optimization --- Algorithms --- Nonlinear programming --- 519.244 --- 519.2 --- Programming (Mathematics) --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorism --- Algebra --- Arithmetic --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Probability. Mathematical statistics --- Foundations --- 519.2 Probability. Mathematical statistics --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Acqui 2006
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This book describes group sequential stopping rules designed to reduce average study length and control Type I and Type II error probabilities. The authors present one-sided and two-sided tests, introduce several families of group sequential tests, and explain how to choose the most appropriate test and interim analysis schedule. Their topics include placebo-controlled randomized trials, bio-equivalence testing, crossover and longitudinal studies, and linear and generalized linear models. Group Sequential Methods with Applications to Clinical Trials effectively surveys and extends modern methods for planning and conducting interim analyses.
Mathematical statistics --- Clinical trials --- Decision Theory --- Statistics as Topic --- Clinical Trials as Topic --- Models, Statistical --- Etudes cliniques --- Statistical methods. --- methods --- Méthodes statistiques --- 519.244 --- -Controlled clinical trials --- Patient trials of new treatments --- Randomized clinical trials --- Trials, Clinical --- Clinical medicine --- Human experimentation in medicine --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Statistical methods --- Research --- Decision Theory. --- Statistics --- Clinical Trials --- Models, Statistical. --- methods. --- -Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- -519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Controlled clinical trials --- Clinical trials - Statistical methods. --- Statistics as Topic - methods --- Clinical Trials as Topic - methods --- Etudes cliniques - Méthodes statistiques
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The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before
Ranking and selection (Statistics) --- Statistical hypothesis testing. --- Hypothesis testing (Statistics) --- Significance testing (Statistics) --- Statistical significance testing --- Testing statistical hypotheses --- Selection and ranking (Statistics) --- Distribution (Probability theory) --- Hypothesis --- Mathematical statistics --- Order statistics --- 519.244 --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Rang et sélection (Statistique) --- Tests d'hypothèses (Statistique) --- ELSEVIER-B EPUB-LIV-FT
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Nonlinear programming --- Mathematical optimization --- Algorithms --- 519.244 --- 519.2 --- Algorism --- Algebra --- Arithmetic --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Programming (Mathematics) --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Probability. Mathematical statistics --- Foundations --- Nonlinear programming. --- Mathematical optimization. --- Algorithms. --- 519.2 Probability. Mathematical statistics --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Optimisation mathématique --- Recherche opérationnelle --- Programmation non linéaire
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Factorization methods for discrete sequential estimation
Probability theory --- Control theory. --- Digital filters (Mathematics). --- Estimation theory. --- Matrices. --- Control theory --- Digital filters (Mathematics) --- Estimation theory --- Matrices --- 519.244 --- 519.6 --- 681.3*G13 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Estimating techniques --- Least squares --- Mathematical statistics --- Stochastic processes --- Data smoothing filters --- Filters, Digital (Mathematics) --- Linear digital filters (Mathematics) --- Linear filters (Mathematics) --- Numerical filters --- Smoothing filters (Mathematics) --- Digital electronics --- Filters (Mathematics) --- Fourier transformations --- Functional analysis --- Numerical analysis --- Numerical calculations --- Dynamics --- Machine theory --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems
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