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The Measurement Of Subjective Probability
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Book Synopsis The Measurement of Subjective Probability by : Edward J. R. Elliott
Download or read book The Measurement of Subjective Probability written by Edward J. R. Elliott and published by Cambridge University Press. This book was released on 2024-05-02 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beliefs come in degrees, and we often represent those degrees with numbers. We might say, for example, that we are 90% confident in the truth of some scientific hypothesis, or only 30% confident in the success of some risky endeavour. But what do these numbers mean? What, in other words, is the underlying psychological reality to which the numbers correspond? And what constitutes a meaningful difference between numerically distinct representations of belief? In this Element, we discuss the main approaches to the measurement of belief. These fall into two broad categories-epistemic and decision-theoretic-with divergent foundations in the theory of measurement. Epistemic approaches explain the measurement of belief by appeal to relations between belief states themselves, whereas decision-theoretic approaches appeal to relations between beliefs and desires in the production of choice and preferences.
Book Synopsis Probability and Bayesian Modeling by : Jim Albert
Download or read book Probability and Bayesian Modeling written by Jim Albert and published by CRC Press. This book was released on 2019-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Bayesian Modeling is an introduction to probability and Bayesian thinking for undergraduate students with a calculus background. The first part of the book provides a broad view of probability including foundations, conditional probability, discrete and continuous distributions, and joint distributions. Statistical inference is presented completely from a Bayesian perspective. The text introduces inference and prediction for a single proportion and a single mean from Normal sampling. After fundamentals of Markov Chain Monte Carlo algorithms are introduced, Bayesian inference is described for hierarchical and regression models including logistic regression. The book presents several case studies motivated by some historical Bayesian studies and the authors’ research. This text reflects modern Bayesian statistical practice. Simulation is introduced in all the probability chapters and extensively used in the Bayesian material to simulate from the posterior and predictive distributions. One chapter describes the basic tenets of Metropolis and Gibbs sampling algorithms; however several chapters introduce the fundamentals of Bayesian inference for conjugate priors to deepen understanding. Strategies for constructing prior distributions are described in situations when one has substantial prior information and for cases where one has weak prior knowledge. One chapter introduces hierarchical Bayesian modeling as a practical way of combining data from different groups. There is an extensive discussion of Bayesian regression models including the construction of informative priors, inference about functions of the parameters of interest, prediction, and model selection. The text uses JAGS (Just Another Gibbs Sampler) as a general-purpose computational method for simulating from posterior distributions for a variety of Bayesian models. An R package ProbBayes is available containing all of the book datasets and special functions for illustrating concepts from the book. A complete solutions manual is available for instructors who adopt the book in the Additional Resources section.
Book Synopsis Degrees of Belief by : Steven G. Vick
Download or read book Degrees of Belief written by Steven G. Vick and published by ASCE Publications. This book was released on 2002-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observing at a risk analysis conference for civil engineers that participants did not share a common language of probability, Vick, a consultant and geotechnic engineer, set out to not only examine why, but to also bridge the gap. He reexamines three elements at the core of engineering the concepts
Book Synopsis Measurement of Subjective Probability Distribution by : Masanao Toda
Download or read book Measurement of Subjective Probability Distribution written by Masanao Toda and published by . This book was released on 1963 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Studies in Subjective Probability by : Henry Ely Kyburg
Download or read book Studies in Subjective Probability written by Henry Ely Kyburg and published by . This book was released on 1980 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Truth and probability; Foresight: its logical laws, its subjective sources; The bases of probability; Subjective probability as the measure of a non-measurable set; The elicitation of personal probabilities; Probability: beware of falsifications; Probable knowledge.
Book Synopsis OECD Guidelines on Measuring Subjective Well-being by : OECD
Download or read book OECD Guidelines on Measuring Subjective Well-being written by OECD and published by OECD Publishing. This book was released on 2013-03-20 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Guidelines represent the first attempt to provide international recommendations on collecting, publishing, and analysing subjective well-being data.
Book Synopsis Theory of Decision Under Uncertainty by : Itzhak Gilboa
Download or read book Theory of Decision Under Uncertainty written by Itzhak Gilboa and published by Cambridge University Press. This book was released on 2009-03-16 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the classical axiomatic theories of decision under uncertainty, as well as critiques thereof and alternative theories. It focuses on the meaning of probability, discussing some definitions and surveying their scope of applicability. The behavioral definition of subjective probability serves as a way to present the classical theories, culminating in Savage's theorem. The limitations of this result as a definition of probability lead to two directions - first, similar behavioral definitions of more general theories, such as non-additive probabilities and multiple priors, and second, cognitive derivations based on case-based techniques.
Book Synopsis Probabilities in Physics by : Claus Beisbart
Download or read book Probabilities in Physics written by Claus Beisbart and published by Oxford University Press. This book was released on 2011-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.
Book Synopsis Theories of Probability by : Terrence L. Fine
Download or read book Theories of Probability written by Terrence L. Fine and published by Academic Press. This book was released on 2014-05-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories of Probability: An Examination of Foundations reviews the theoretical foundations of probability, with emphasis on concepts that are important for the modeling of random phenomena and the design of information processing systems. Topics covered range from axiomatic comparative and quantitative probability to the role of relative frequency in the measurement of probability. Computational complexity and random sequences are also discussed. Comprised of nine chapters, this book begins with an introduction to different types of probability theories, followed by a detailed account of axiomatic formalizations of comparative and quantitative probability and the relations between them. Subsequent chapters focus on the Kolmogorov formalization of quantitative probability; the common interpretation of probability as a limit of the relative frequency of the number of occurrences of an event in repeated, unlinked trials of a random experiment; an improved theory for repeated random experiments; and the classical theory of probability. The book also examines the origin of subjective probability as a by-product of the development of individual judgments into decisions. Finally, it suggests that none of the known theories of probability covers the whole domain of engineering and scientific practice. This monograph will appeal to students and practitioners in the fields of mathematics and statistics as well as engineering and the physical and social sciences.
Book Synopsis Theory of Measurement by : J. Pfanzagl
Download or read book Theory of Measurement written by J. Pfanzagl and published by Physica. This book was released on 2013-12-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of the Economics of Risk and Uncertainty by : Mark Machina
Download or read book Handbook of the Economics of Risk and Uncertainty written by Mark Machina and published by Newnes. This book was released on 2013-11-14 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to understand the theories and applications of economic and finance risk has been clear to everyone since the financial crisis, and this collection of original essays proffers broad, high-level explanations of risk and uncertainty. The economics of risk and uncertainty is unlike most branches of economics in spanning from the individual decision-maker to the market (and indeed, social decisions), and ranging from purely theoretical analysis through individual experimentation, empirical analysis, and applied and policy decisions. It also has close and sometimes conflicting relationships with theoretical and applied statistics, and psychology. The aim of this volume is to provide an overview of diverse aspects of this field, ranging from classical and foundational work through current developments. - Presents coherent summaries of risk and uncertainty that inform major areas in economics and finance - Divides coverage between theoretical, empirical, and experimental findings - Makes the economics of risk and uncertainty accessible to scholars in fields outside economics
Download or read book Degrees of Belief written by Franz Huber and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology is the first book to give a balanced overview of the competing theories of degrees of belief. It also explicitly relates these debates to more traditional concerns of the philosophy of language and mind and epistemic logic.
Book Synopsis Risk Aversion in Experiments by : G.W. Harrison
Download or read book Risk Aversion in Experiments written by G.W. Harrison and published by Emerald Group Publishing. This book was released on 2008-02-29 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents research utilizing laboratory experimental methods in economics.
Book Synopsis Introduction to Probability by : David F. Anderson
Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Book Synopsis Introduction to Probability by : Dimitri Bertsekas
Download or read book Introduction to Probability written by Dimitri Bertsekas and published by Athena Scientific. This book was released on 2008-07-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.
Book Synopsis Philosophy of Probability and Statistical Modelling by : Mauricio Suárez
Download or read book Philosophy of Probability and Statistical Modelling written by Mauricio Suárez and published by Cambridge University Press. This book was released on 2021-01-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element has two main aims. The first one (sections 1-7) is an historically informed review of the philosophy of probability. It describes recent historiography, lays out the distinction between subjective and objective notions, and concludes by applying the historical lessons to the main interpretations of probability. The second aim (sections 8-13) focuses entirely on objective probability, and advances a number of novel theses regarding its role in scientific practice. A distinction is drawn between traditional attempts to interpret chance, and a novel methodological study of its application. A radical form of pluralism is then introduced, advocating a tripartite distinction between propensities, probabilities and frequencies. Finally, a distinction is drawn between two different applications of chance in statistical modelling which, it is argued, vindicates the overall methodological approach. The ensuing conception of objective probability in practice is the 'complex nexus of chance'.
Book Synopsis Classical Probability in the Enlightenment by : Lorraine Daston
Download or read book Classical Probability in the Enlightenment written by Lorraine Daston and published by Princeton University Press. This book was released on 1988 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a comprehensive, insightful survey of the history of probability, both in terms of its scientific and its social uses. . . . It represents a substantial contribution not only to the history of probability but also to our understanding of the Enlightenment in general".--Joseph W. Dauben, "American Scientist".
