Comparison Of Statistical Experiments
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Comparison Of Statistical Experiments
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Author : Erik Torgersen
language : en
Publisher: Cambridge University Press
Release Date : 1991-03-14
Comparison Of Statistical Experiments written by Erik Torgersen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-14 with Business & Economics categories.
There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, ordering, equivalence, completeness and convergence are explored. This is a comprehensive treatment of the subject and will be an essential reference for mathematical statisticians.
Comparison Of Statistical Experiments
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Author : Erik N. Torgersen
language : en
Publisher:
Release Date : 2014-05-14
Comparison Of Statistical Experiments written by Erik N. Torgersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
A comprehensive treatment of statistical experiments and an essential reference for mathematical statisticians.
Comparison Of Statistical Experiments
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Author : Erik Torgersen
language : en
Publisher:
Release Date : 1991
Comparison Of Statistical Experiments written by Erik Torgersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematical statistics categories.
The Design Of Experiments
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Author : R. Mead
language : en
Publisher: Cambridge University Press
Release Date : 1990-07-26
The Design Of Experiments written by R. Mead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-26 with Mathematics categories.
In all the experimental sciences, good design of experiments is crucial to the success of research. Well-planned experiments can provide a great deal of information efficiently and can be used to test several hypotheses simultaneously. This book is about the statistical principles of good experimental design and is intended for all applied statisticians and practising scientists engaged in the design, implementation and analysis of experiments. Professor Mead has written the book with the emphasis on the logical principles of statistical design and employs a minimum of mathematics. Throughout he assumes that the large-scale analysis of data will be performed by computers and he is thus able to devote more attention to discussions of how all of the available information can be used to extract the clearest answers to many questions. The principles are illustrated with a wide range of examples drawn from medicine, agriculture, industry and other disciplines. Numerous exercises are given to help the reader practise techniques and to appreciate the difference that good design of experiments can make to a scientific project.
Statistical Experiments And Decisions
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Author : Al?bert Nikolaevich Shiri?aev
language : en
Publisher: World Scientific
Release Date : 2000
Statistical Experiments And Decisions written by Al?bert Nikolaevich Shiri?aev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.
Theory Of Statistical Experiments
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Author : H. Heyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory Of Statistical Experiments written by H. Heyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
By a statistical experiment we mean the procedure of drawing a sample with the intention of making a decision. The sample values are to be regarded as the values of a random variable defined on some meas urable space, and the decisions made are to be functions of this random variable. Although the roots of this notion of statistical experiment extend back nearly two hundred years, the formal treatment, which involves a description of the possible decision procedures and a conscious attempt to control errors, is of much more recent origin. Building upon the work of R. A. Fisher, J. Neyman and E. S. Pearson formalized many deci sion problems associated with the testing of hypotheses. Later A. Wald gave the first completely general formulation of the problem of statisti cal experimentation and the associated decision theory. These achieve ments rested upon the fortunate fact that the foundations of probability had by then been laid bare, for it appears to be necessary that any such quantitative theory of statistics be based upon probability theory. The present state of this theory has benefited greatly from contri butions by D. Blackwell and L. LeCam whose fundamental articles expanded the mathematical theory of statistical experiments into the field of com parison of experiments. This will be the main motivation for the ap proach to the subject taken in this book.
Statistical Experiments And Decision Asymptotic Theory
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Author : Albert N Shiryaev
language : en
Publisher: World Scientific
Release Date : 2000-07-04
Statistical Experiments And Decision Asymptotic Theory written by Albert N Shiryaev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-04 with Mathematics categories.
This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is “how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment”.
Understanding Statistics And Experimental Design
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Author : Michael H. Herzog
language : en
Publisher: Springer
Release Date : 2019-08-13
Understanding Statistics And Experimental Design written by Michael H. Herzog and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Science categories.
This open access textbook provides the background needed to correctly use, interpret and understand statistics and statistical data in diverse settings. Part I makes key concepts in statistics readily clear. Parts I and II give an overview of the most common tests (t-test, ANOVA, correlations) and work out their statistical principles. Part III provides insight into meta-statistics (statistics of statistics) and demonstrates why experiments often do not replicate. Finally, the textbook shows how complex statistics can be avoided by using clever experimental design. Both non-scientists and students in Biology, Biomedicine and Engineering will benefit from the book by learning the statistical basis of scientific claims and by discovering ways to evaluate the quality of scientific reports in academic journals and news outlets.
Statistical Design And Analysis Of Experiments
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Author : Robert L. Mason
language : en
Publisher: John Wiley & Sons
Release Date : 2003-05-09
Statistical Design And Analysis Of Experiments written by Robert L. Mason and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-09 with Mathematics categories.
Emphasizes the strategy of experimentation, data analysis, and the interpretation of experimental results. Features numerous examples using actual engineering and scientific studies. Presents statistics as an integral component of experimentation from the planning stage to the presentation of the conclusions. Deep and concentrated experimental design coverage, with equivalent but separate emphasis on the analysis of data from the various designs. Topics can be implemented by practitioners and do not require a high level of training in statistics. New edition includes new and updated material and computer output.
Statistical Data Analysis And Inference
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Author : Y. Dodge
language : en
Publisher: Elsevier
Release Date : 2014-05-23
Statistical Data Analysis And Inference written by Y. Dodge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-23 with Mathematics categories.
A wide range of topics and perspectives in the field of statistics are brought together in this volume. The contributions originate from invited papers presented at an international conference which was held in honour of C. Radhakrishna Rao, one of the most eminent statisticians of our time and a distinguished scientist.