Robustness Of Statistical Tests By Takeaki Kariya And Bimal K Sinha
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Robustness Of Statistical Tests By Takeaki Kariya And Bimal K Sinha
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Author : Takeaki Kariya
language : en
Publisher:
Release Date : 1989
Robustness Of Statistical Tests By Takeaki Kariya And Bimal K Sinha written by Takeaki Kariya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Robust statistics categories.
Robustness Of Statistical Tests
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Author : Takeaki Kariya
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Robustness Of Statistical Tests written by Takeaki Kariya and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Robustness of Statistical Tests provides a general, systematic finite sample theory of the robustness of tests and covers the application of this theory to some important testing problems commonly considered under normality. This eight-chapter text focuses on the robustness that is concerned with the exact robustness in which the distributional or optimal property that a test carries under a normal distribution holds exactly under a nonnormal distribution. Chapter 1 reviews the elliptically symmetric distributions and their properties, while Chapter 2 describes the representation theorem for the probability ration of a maximal invariant. Chapter 3 explores the basic concepts of three aspects of the robustness of tests, namely, null, nonnull, and optimality, as well as a theory providing methods to establish them. Chapter 4 discusses the applications of the general theory with the study of the robustness of the familiar Student’s r-test and tests for serial correlation. This chapter also deals with robustness without invariance. Chapter 5 looks into the most useful and widely applied problems in multivariate testing, including the GMANOVA (General Multivariate Analysis of Variance). Chapters 6 and 7 tackle the robust tests for covariance structures, such as sphericity and independence and provide a detailed description of univariate and multivariate outlier problems. Chapter 8 presents some new robustness results, which deal with inference in two population problems. This book will prove useful to advance graduate mathematical statistics students.
Robustness Of T Test
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Author : Takeaki Kariya
language : en
Publisher:
Release Date : 1987
Robustness Of T Test written by Takeaki Kariya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Robust statistics categories.
Optimization Techniques In Statistics
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Author : Jagdish S. Rustagi
language : en
Publisher: Elsevier
Release Date : 2014-05-19
Optimization Techniques In Statistics written by Jagdish S. Rustagi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Mathematics categories.
Statistics help guide us to optimal decisions under uncertainty. A large variety of statistical problems are essentially solutions to optimization problems. The mathematical techniques of optimization are fundamentalto statistical theory and practice. In this book, Jagdish Rustagi provides full-spectrum coverage of these methods, ranging from classical optimization and Lagrange multipliers, to numerical techniques using gradients or direct search, to linear, nonlinear, and dynamic programming using the Kuhn-Tucker conditions or the Pontryagin maximal principle. Variational methods and optimization in function spaces are also discussed, as are stochastic optimization in simulation, including annealing methods. The text features numerous applications, including: Finding maximum likelihood estimates Markov decision processes Programming methods used to optimize monitoring of patients in hospitals Derivation of the Neyman-Pearson lemma The search for optimal designs Simulation of a steel mill Suitable as both a reference and a text, this book will be of interest to advanced undergraduate or beginning graduate students in statistics, operations research, management and engineering sciences, and related fields. Most of the material can be covered in one semester by students with a basic background in probability and statistics. Key Features * Covers optimization from traditional methods to recent developments such as Karmarkars algorithm and simulated annealing * Develops a wide range of statistical techniques in the unified context of optimization * Discusses applications such as optimizing monitoring of patients and simulating steel mill operations * Treats numerical methods and applications Includes exercises and references for each chapter * Covers topics such as linear, nonlinear, and dynamic programming, variational methods, and stochastic optimization
Statistical Methods In Longitudinal Research
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Author : Alexander von Eye
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Statistical Methods In Longitudinal Research written by Alexander von Eye and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
These edited volumes present new statistical methods in a way that bridges the gap between theoretical and applied statistics. The volumes cover general problems and issues and more specific topics concerning the structuring of change, the analysis of time series, and the analysis of categorical longitudinal data. The book targets students of development and change in a variety of fields - psychology, sociology, anthropology, education, medicine, psychiatry, economics, behavioural sciences, developmental psychology, ecology, plant physiology, and biometry - with basic training in statistics and computing.
Regenerative Stochastic Simulation
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Author : Gerald S. Shedler
language : en
Publisher: Elsevier
Release Date : 1992-12-17
Regenerative Stochastic Simulation written by Gerald S. Shedler and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-17 with Mathematics categories.
Simulation is a controlled statistical sampling technique that can be used to study complex stochastic systems when analytic and/or numerical techniques do not suffice. The focus of this book is on simulations of discrete-event stochastic systems; namely, simulations in which stochastic state transitions occur only at an increasing sequence of random times. The discussion emphasizes simulations on a finite or countably infinite state space. * Develops probabilistic methods for simulation of discrete-event stochastic systems * Emphasizes stochastic modeling and estimation procedures based on limit theorems for regenerative stochastic processes * Includes engineering applications of discrete-even simulation to computer, communication, manufacturing, and transportation systems * Focuses on simulations with an underlying stochastic process that can specified as a generalized semi-Markov process * Unique approach to simulation, with heavy emphasis on stochastic modeling * Includes engineering applications for computer, communication, manufacturing, and transportation systems
Identification Equivalent Models And Computer Algebra
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Author : Paul A. Bekker
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Identification Equivalent Models And Computer Algebra written by Paul A. Bekker and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Social Science categories.
Identification, Equivalent Models, and Computer Algebra provides information pertinent to computer algebra. This book presents a brief discussion of the commutation matrix, an operator that plays a role when derivatives have to be evaluated involving symmetric matrices. Organized into eight chapters, this book begins with an overview of the link between identification of a parameter and the existence of a consistent estimator, and the link between identification of a model and the rank of a Jacobian matrix. This text then describes an algorithm for the determination of the exact rank of a parametrized matrix. Other chapters consider the identification in the simultaneous equation model. This book discusses as well the identification assessment in confirmatory factor analysis, a problem related to the simultaneous equations model. The final chapter deals with various computer programs that the enclosed diskette contains. This book is a valuable resource for readers who are interested in computer algebra.
Multi Objective Programming In The Ussr
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Author : Elliot R. Lieberman
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Multi Objective Programming In The Ussr written by Elliot R. Lieberman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Computers categories.
Statistical Modeling and Decision Science: Multi-Objective Programming in the USSR provides information pertinent to multi-objective programming that has emerged as an increasingly active area of research in the fields of applied mathematics, operations research, and decision and management science. This book traces and analyzes the development of Soviet multi-objective programming. Organized into 24 chapters, this book begins with an overview of the research institutes most actively involved in multi-objective programming research. This text then presents an analytical framework for grouping and classifying the diverse Soviet methods. Other chapters consider the methods and then evaluated according to the significance and soundness of its basic approach and its kinship to other methods. This book discusses as well some significant Soviet theoretical research and several distinctive approaches proposed by Soviet researchers for comparing the effectiveness of alternative interactive multi-objective programming method. The final chapter deals with distinctive Soviet tendencies in multi-objective research. This book is a valuable resource for economists.
Sample Size Methodology
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Author : M. M. Desu
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Sample Size Methodology written by M. M. Desu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.
One of the most important problems in designing an experiment or a survey is sample size determination and this book presents the currently available methodology. It includes both random sampling from standard probability distributions and from finite populations. Also discussed is sample size determination for estimating parameters in a Bayesian setting by considering the posterior distribution of the parameter and specifying the necessary requirements. The determination of the sample size is considered for ranking and selection problems as well as for the design of clinical trials. Appropriate techniques for attacking the general question of sample size determination in problems of estimation, tests of hypotheses, selection, and clinical trial design are all presented, and will help the reader in formulating an appropriate problem of sample size and in obtaining the solution. The book can be used as a text in a senior-level or a graduate course on sample size methodology. Annotated list of tables in appendixSupplemental problems at the end of book
Technometrics
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Author :
language : en
Publisher:
Release Date : 1991
Technometrics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Experimental design categories.