Statistical Decision Rules and Optimal Inference

Statistical Decision Rules and Optimal Inference
Title Statistical Decision Rules and Optimal Inference PDF eBook
Author N. N. Cencov
Publisher American Mathematical Soc.
Pages 514
Release 2000-04-19
Genre Mathematics
ISBN 9780821813478

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None available in plain English.

Statistical Inference as Severe Testing

Statistical Inference as Severe Testing
Title Statistical Inference as Severe Testing PDF eBook
Author Deborah G. Mayo
Publisher Cambridge University Press
Pages 503
Release 2018-09-20
Genre Mathematics
ISBN 1108563309

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Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

Encyclopedia of Statistical Sciences, Volume 3

Encyclopedia of Statistical Sciences, Volume 3
Title Encyclopedia of Statistical Sciences, Volume 3 PDF eBook
Author
Publisher John Wiley & Sons
Pages 706
Release 2005-12-16
Genre Mathematics
ISBN 0471743844

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ENCYCLOPEDIA OF STATISTICAL SCIENCES

Dynamics of Information Systems: Mathematical Foundations

Dynamics of Information Systems: Mathematical Foundations
Title Dynamics of Information Systems: Mathematical Foundations PDF eBook
Author Alexey Sorokin
Publisher Springer Science & Business Media
Pages 374
Release 2012-08-04
Genre Business & Economics
ISBN 146143906X

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This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and universities to exchange knowledge and results in a broad range of topics relevant to the theory and practice of the dynamics of information systems. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more. Dynamics of Information plays an increasingly critical role in our society. The influence of information on social, biological, genetic, and military systems must be better understood to achieve large advances in the capability and understanding of these systems. Applications are widespread and include: research in evolutionary theory, optimization of information workflow, military applications, climate networks, collision work, and much more.

Uncertainty And Optimality: Probability, Statistics And Operations Research

Uncertainty And Optimality: Probability, Statistics And Operations Research
Title Uncertainty And Optimality: Probability, Statistics And Operations Research PDF eBook
Author Jagadis Chandra Misra
Publisher World Scientific
Pages 571
Release 2002-11-05
Genre Mathematics
ISBN 9814488046

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This book deals with different modern topics in probability, statistics and operations research. It has been written lucidly in a novel way. Wherever necessary, the theory is explained in great detail, with suitable illustrations. Numerous references are given, so that young researchers who want to start their work in a particular area will benefit immensely from the book.The contributors are distinguished statisticians and operations research experts from all over the world.

Elements of the General Theory of Optimal Algorithms

Elements of the General Theory of Optimal Algorithms
Title Elements of the General Theory of Optimal Algorithms PDF eBook
Author Ivan V. Sergienko
Publisher Springer Nature
Pages 387
Release 2022-01-11
Genre Mathematics
ISBN 3030909085

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In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.

Conservation Laws and Symmetry: Applications to Economics and Finance

Conservation Laws and Symmetry: Applications to Economics and Finance
Title Conservation Laws and Symmetry: Applications to Economics and Finance PDF eBook
Author Ryuzo Sato
Publisher Springer Science & Business Media
Pages 312
Release 2013-06-29
Genre Business & Economics
ISBN 9401711453

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Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation and catastrophe theo ries have been used to analyze the instability of economic models. Differential topology provided useful techniques for deriving results in general equilibrium analysis. But they are less aware of the central role that Felix Klein and Sophus Lie gave to group theory in the study of geometrical systems. Lie went on to show that the special methods used in solving differential equations can be classified through the study of the invariance of these equations under a continuous group of transformations. Mathematicians and physicists later recognized the relation between Lie's work on differential equations and symme try and, combining the visions of Hamilton, Lie, Klein and Noether, embarked on a research program whose vitality is attested by the innumerable books and articles written by them as well as by biolo gists, chemists and philosophers.