Statistical Decision Rules and Optimal Inference PDF Download
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Author: N. N. Cencov
Publisher: American Mathematical Soc.
ISBN: 9780821813478
Category : Mathematics
Languages : en
Pages : 514
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Book Description
None available in plain English.
Author: N. N. Cencov
Publisher: American Mathematical Soc.
ISBN: 9780821813478
Category : Mathematics
Languages : en
Pages : 514
Get Book Here
Book Description
None available in plain English.
Author: Deborah G. Mayo
Publisher: Cambridge University Press
ISBN: 1108563309
Category : Mathematics
Languages : en
Pages : 503
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Book Description
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.
Author: James Berger
Publisher: Springer Science & Business Media
ISBN: 147571727X
Category : Mathematics
Languages : en
Pages : 440
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Book Description
Decision theory is generally taught in one of two very different ways. When of opti taught by theoretical statisticians, it tends to be presented as a set of mathematical techniques mality principles, together with a collection of various statistical procedures. When useful in establishing the optimality taught by applied decision theorists, it is usually a course in Bayesian analysis, showing how this one decision principle can be applied in various practical situations. The original goal I had in writing this book was to find some middle ground. I wanted a book which discussed the more theoretical ideas and techniques of decision theory, but in a manner that was constantly oriented towards solving statistical problems. In particular, it seemed crucial to include a discussion of when and why the various decision prin ciples should be used, and indeed why decision theory is needed at all. This original goal seemed indicated by my philosophical position at the time, which can best be described as basically neutral. I felt that no one approach to decision theory (or statistics) was clearly superior to the others, and so planned a rather low key and impartial presentation of the competing ideas. In the course of writing the book, however, I turned into a rabid Bayesian. There was no single cause for this conversion; just a gradual realization that things seemed to ultimately make sense only when looked at from the Bayesian viewpoint.
Author: Paul Marriott
Publisher: Cambridge University Press
ISBN: 9780521651165
Category : Business & Economics
Languages : en
Pages : 342
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Book Description
Originally published in 2000, this volume was an early example of the application of differential geometry to econometrics.
Author: Andrew Caplin
Publisher: World Scientific
ISBN: 9811262403
Category : Business & Economics
Languages : en
Pages : 407
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Book Description
That mistakes are made is clear. What is meant by that is not. Measuring whatever might be meant and scientifically studying it is therefore even more challenging.These lectures introduce an interdisciplinary science of mistakes to cut the Gordian knot. The key building blocks are model constructs drawn from the economic tradition, methods of measurement drawn from the psychometric tradition, and analytic methods drawn from economic theory.
Author: Anthony Atkinson
Publisher: Springer Science & Business Media
ISBN: 1475734190
Category : Mathematics
Languages : en
Pages : 313
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Book Description
Optimum Design 2000
Author:
Publisher: Elsevier
ISBN: 0323855687
Category : Mathematics
Languages : en
Pages : 250
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Book Description
The subject of information geometry blends several areas of statistics, computer science, physics, and mathematics. The subject evolved from the groundbreaking article published by legendary statistician C.R. Rao in 1945. His works led to the creation of Cramer-Rao bounds, Rao distance, and Rao-Blackawellization. Fisher-Rao metrics and Rao distances play a very important role in geodesics, econometric analysis to modern-day business analytics. The chapters of the book are written by experts in the field who have been promoting the field of information geometry and its applications. - Written by experts for users of information geometry - Basics to advanced readers are equally taken care - Origins and Clarity on Foundations
Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952
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Book Description
Author: Frank Nielsen
Publisher: Springer Nature
ISBN: 3031382714
Category : Computers
Languages : en
Pages : 641
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Book Description
This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023. The 125 full papers presented in this volume were carefully reviewed and selected from 161 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.
Author: Streater Ray F
Publisher: World Scientific Publishing Company
ISBN: 191129847X
Category : Science
Languages : en
Pages : 392
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Book Description
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.
