Testing Statistical Hypotheses With Given Reliability

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Testing Statistical Hypotheses with Given Reliability

Author : Kartlos Joseph Kachiashvili
Publisher : Cambridge Scholars Publishing
Page : 333 pages
File Size : 53,6 Mb
Release : 2023-06-02
Category : Mathematics
ISBN : 9781527510647

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Testing Statistical Hypotheses with Given Reliability by Kartlos Joseph Kachiashvili Pdf

This book is dedicated to the branch of statistical science which pertains to the theory of hypothesis testing. This involves deciding on the plausibility of two or more hypothetical models based on some data. This work will be both interesting and useful for professional and beginner researchers and practitioners of many fields, who are interested in the theoretical and practical issues of the direction of mathematical statistics, namely, in statistical hypothesis testing. It will also be very useful for specialists of different fields for solving suitable problems at the appropriate level, as the book discusses in detail many important practical problems and provides detailed algorithms for their solutions.

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Author : Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan
Publisher : Now Publishers Inc
Page : 183 pages
File Size : 51,8 Mb
Release : 2008
Category : Computers
ISBN : 9781601980465

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Reliability Criteria in Information Theory and in Statistical Hypothesis Testing by Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan Pdf

This monograph briefly formulates fundamental notions and results of Shannon theory on reliable transmission via coding and gives a survey of results obtained in last two-three decades by the authors.

Statistical Hypothesis Testing

Author : Ning-Zhong Shi,Jian Tao
Publisher : World Scientific
Page : 320 pages
File Size : 47,5 Mb
Release : 2008
Category : Science
ISBN : 9789812814364

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Statistical Hypothesis Testing by Ning-Zhong Shi,Jian Tao Pdf

This book presents up-to-date theory and methods of statistical hypothesis testing based on measure theory. The so-called statistical space is a measurable space adding a family of probability measures. Most topics in the book will be developed based on this term. The book includes some typical data sets, such as the relation between race and the death penalty verdict, the behavior of food intake of two kinds of Zucker rats, and the per capita income and expenditure in China during the 1978?2002 period. Emphasis is given to the process of finding appropriate statistical techniques and methods of evaluating these techniques.

Testing Statistical Hypotheses

Author : Erich Leo Lehmann
Publisher : John Wiley & Sons
Page : 632 pages
File Size : 44,6 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015012656917

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Testing Statistical Hypotheses by Erich Leo Lehmann Pdf

This book covers the theory of hypotheses testing and of estimation by confidence intervals. Accompanying Theory of Point Estimation (1983) to cover the main topics of classical statistics, including theory and its principal applications, this second edition contains more on confidence intervals, simultaneous inference, admissibility, and conditioning. The book is thoroughly updated throughout with a new section on conditional inference and an expansion of multivariate material.

Introduction to Reliability Analysis

Author : Shelemyahu Zacks
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461228547

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Introduction to Reliability Analysis by Shelemyahu Zacks Pdf

Reliability analysis is concerned with the analysis of devices and systems whose individual components are prone to failure. This textbook presents an introduction to reliability analysis of repairable and non-repairable systems. It is based on courses given to both undergraduate and graduate students of engineering and statistics as well as in workshops for professional engineers and scientists. As aresult, the book concentrates on the methodology of the subject and on understanding theoretical results rather than on its theoretical development. An intrinsic aspect of reliability analysis is that the failure of components is best modelled using techniques drawn from probability and statistics. Professor Zacks covers all the basic concepts required from these subjects and covers the main modern reliability analysis techniques thoroughly. These include: the graphical analysis of life data, maximum likelihood estimation and bayesian likelihood estimation. Throughout the emphasis is on the practicalities of the subject with numerous examples drawn from industrial and engineering settings.

Statistical Analysis of Reliability and Life-testing Models

Author : Lee J. Bain
Publisher : Unknown
Page : 474 pages
File Size : 45,6 Mb
Release : 1978
Category : Mathematics
ISBN : UOM:39015004537331

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Statistical Analysis of Reliability and Life-testing Models by Lee J. Bain Pdf

Probabilistic models; Basic statistical inference; The exponential distribution; The weibull distribution; The gamma distribution; Extreme-value distribution; The logistic and other distribution; Goodness-of-fit tests.

Fundamentals Of Testing Statistical Hypotheses

Author : A. Santhakumaran
Publisher : Atlantic Publishers & Dist
Page : 166 pages
File Size : 49,9 Mb
Release : 2001
Category : Electronic
ISBN : 812690044X

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Fundamentals Of Testing Statistical Hypotheses by A. Santhakumaran Pdf

This Book Covers The Fundamentals Of Testing Of Statistical Hypotheses. It Presents The Concepts, Techniques And Applications Of Hypotheses Testing And Equips The Reader With Ability To Apply To Various Real Life Problems. The Book Is Based On The Author'S Long Experience Of Teaching The Subject.The Book Will Be Useful For Students And Teachers Of Undergraduate And Postgraduate Classes. It Will Also Be Helpful For Candidates Appearing In Competitive Examination Like Iss, Ugc, Slet Etc.Salient Features Of The Book Are :" Properly Graded And Solved Problems To Illustrate Each Concept And Procedure Are Presented In The Text." Selected Problems, University Questions And Questions, Including Those Of Objective Types, Of Various Competitive Examinations Are Added At The End Of Each Chapter." Statistical Table Values Are Obtained Using C Language." Provides Conceptual Clarity, Simplicity And Uptodate Materials.

Testing Statistical Hypotheses

Author : Erich L. Lehmann,Joseph P. Romano
Publisher : Springer Science & Business Media
Page : 795 pages
File Size : 55,6 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387276052

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Testing Statistical Hypotheses by Erich L. Lehmann,Joseph P. Romano Pdf

The third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760.

Testing Statistical Hypotheses of Equivalence

Author : Stefan Wellek
Publisher : CRC Press
Page : 301 pages
File Size : 45,5 Mb
Release : 2002-11-12
Category : Mathematics
ISBN : 9781420035964

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Testing Statistical Hypotheses of Equivalence by Stefan Wellek Pdf

Equivalence testing has grown significantly in importance over the last two decades, especially as its relevance to a variety of applications has become understood. Yet published work on the general methodology remains scattered in specialists' journals, and for the most part, it focuses on the relatively narrow topic of bioequivalence assessment.

Statistical Analysis of Reliability and Life-Testing Models

Author : Lee Bain
Publisher : Routledge
Page : 517 pages
File Size : 49,9 Mb
Release : 2017-12-01
Category : Mathematics
ISBN : 9781351414654

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Statistical Analysis of Reliability and Life-Testing Models by Lee Bain Pdf

Textbook for a methods course or reference for an experimenter who is mainly interested in data analyses rather than in the mathematical development of the procedures. Provides the most useful statistical techniques, not only for the normal distribution, but for other important distributions, such a

Learning Statistics with R

Author : Daniel Navarro
Publisher : Lulu.com
Page : 617 pages
File Size : 55,7 Mb
Release : 2013-01-13
Category : Psychology
ISBN : 9781326189723

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Learning Statistics with R by Daniel Navarro Pdf

"Learning Statistics with R" covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software and adopting a light, conversational style throughout. The book discusses how to get started in R, and gives an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book. For more information (and the opportunity to check the book out before you buy!) visit http://ua.edu.au/ccs/teaching/lsr or http://learningstatisticswithr.com

Modern Industrial Statistics

Author : Shelemyahu Zacks,Ron S. Kenett,Daniele Amberti
Publisher : John Wiley & Sons
Page : 740 pages
File Size : 54,5 Mb
Release : 2013-12-16
Category : Mathematics
ISBN : 9781118763698

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Modern Industrial Statistics by Shelemyahu Zacks,Ron S. Kenett,Daniele Amberti Pdf

Fully revised and updated, this book combines a theoretical background with examples and references to R, MINITAB and JMP, enabling practitioners to find state-of-the-art material on both foundation and implementation tools to support their work. Topics addressed include computer-intensive data analysis, acceptance sampling, univariate and multivariate statistical process control, design of experiments, quality by design, and reliability using classical and Bayesian methods. The book can be used for workshops or courses on acceptance sampling, statistical process control, design of experiments, and reliability. Graduate and post-graduate students in the areas of statistical quality and engineering, as well as industrial statisticians, researchers and practitioners in these fields will all benefit from the comprehensive combination of theoretical and practical information provided in this single volume. Modern Industrial Statistics: With applications in R, MINITAB and JMP: Combines a practical approach with theoretical foundations and computational support. Provides examples in R using a dedicated package called MISTAT, and also refers to MINITAB and JMP. Includes exercises at the end of each chapter to aid learning and test knowledge. Provides over 40 data sets representing real-life case studies. Is complemented by a comprehensive website providing an introduction to R, and installations of JMP scripts and MINITAB macros, including effective tutorials with introductory material: www.wiley.com/go/modern_industrial_statistics.

Reliability Engineering

Author : Alessandro Birolini
Publisher : Springer
Page : 651 pages
File Size : 49,6 Mb
Release : 2017-05-19
Category : Technology & Engineering
ISBN : 9783662542095

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Reliability Engineering by Alessandro Birolini Pdf

This book shows how to build in and assess reliability, availability, maintainability, and safety (RAMS) of components, equipment, and systems. It presents the state of the art of reliability (RAMS) engineering, in theory & practice, and is based on over 30 years author's experience in this field, half in industry and half as Professor of Reliability Engineering at the ETH, Zurich. The book structure allows rapid access to practical results. Methods & tools are given in a way that they can be tailored to cover different RAMS requirement levels. Thanks to Appendices A6 - A8 the book is mathematically self-contained, and can be used as a textbook or as a desktop reference with a large number of tables (60), figures (210), and examples / exercises^ 10,000 per year since 2013) were the motivation for this final edition, the 13th since 1985, including German editions. Extended and carefully reviewed to improve accuracy, it represents the continuous improvement effort to satisfy reader's needs and confidence. New are an introduction to risk management with structurally new models based on semi-Markov processes & to the concept of mean time to accident, reliability & availability of a k-out-of-n redundancy with arbitrary repair rate for n - k=2, 10 new homework problems, and refinements, in particular, on multiple failure mechanisms, approximate expressions, incomplete coverage, data analysis, and comments on ë, MTBF, MTTF, MTTR, R, PA.

Statistical Inference: Testing Of Hypotheses

Author : Srivastava & Srivastava,Manoj Kumar Srivastava
Publisher : PHI Learning Pvt. Ltd.
Page : 414 pages
File Size : 47,8 Mb
Release : 2009-12
Category : Reference
ISBN : 9788120337282

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Statistical Inference: Testing Of Hypotheses by Srivastava & Srivastava,Manoj Kumar Srivastava Pdf

it emphasizes on J. Neyman and Egon Pearson's mathematical foundations of hypothesis testing, which is one of the finest methodologies of reaching conclusions on population parameter. Following Wald and Ferguson's approach, the book presents Neyman-Pearson theory under broader premises of decision theory resulting into simplification and generalization of results. On account of smooth mathematical development of this theory, the book outlines the main result on Lebesgue theory in abstract spaces prior to rigorous theoretical developments on most powerful (MP), uniformly most powerful (UMP) and UMP unbiased tests for different types of testing problems. Likelihood ratio tests their large sample properties to variety of testing situations and connection between confidence estimation and testing of hypothesis have been discussed in separate chapters. The book illustrates simplification of testing problems and reduction in dimensionality of class of tests resulting into existence of an optimal test through the principle of sufficiency and invariance. It concludes with rigorous theoretical developments on non-parametric tests including their optimality, asymptotic relative efficiency, consistency, and asymptotic null distribution.

Statistical Hypothesis Testing with SAS and R

Author : Dirk Taeger,Sonja Kuhnt
Publisher : John Wiley & Sons
Page : 278 pages
File Size : 40,9 Mb
Release : 2014-01-09
Category : Mathematics
ISBN : 9781118762615

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Statistical Hypothesis Testing with SAS and R by Dirk Taeger,Sonja Kuhnt Pdf

A comprehensive guide to statistical hypothesis testing with examples in SAS and R When analyzing datasets the following questions often arise: Is there a short hand procedure for a statistical test available in SAS or R? If so, how do I use it? If not, how do I program the test myself? This book answers these questions and provides an overview of the most common statistical test problems in a comprehensive way, making it easy to find and perform an appropriate statistical test. A general summary of statistical test theory is presented, along with a basic description for each test, including the necessary prerequisites, assumptions, the formal test problem and the test statistic. Examples in both SAS and R are provided, along with program code to perform the test, resulting output and remarks explaining the necessary program parameters. Key features: • Provides examples in both SAS and R for each test presented. • Looks at the most common statistical tests, displayed in a clear and easy to follow way. • Supported by a supplementary website http://www.d-taeger.de featuring example program code. Academics, practitioners and SAS and R programmers will find this book a valuable resource. Students using SAS and R will also find it an excellent choice for reference and data analysis.