Author: Paolo Manca Publisher: goWare ISBN: 8867978349 Category : Mathematics Languages : en Pages : 106
Book Description
In the context of a non-deterministic view of the world, probability is a number which reflects the degree of confidence someone has that a given statement or event is true, based on the information they have. Probability and probability calculus, on the other hand, are essential tools for those who wish to recognise uncertainty and manage it responsibly. This presentation of subjective probability (the only one possible) will enable even those who are not experts to acquire the correct knowledge of an instrument which is essential and necessary for dealing with the world around us. The text takes only one hour to read, but it will help you to avoid many mistakes and enable you to understand the origin of those you might have made in the past. The reader will also be able to appreciate many funny examples and paradoxes such as this one: statistics tell us that 20% of motorway car accidents are caused by drivers with high blood alcohol levels. It can then be derived that 80% of accidents are caused by sober drivers. Therefore, we should supply alcohol to those who drive on motorways!
Author: George Wright Publisher: ISBN: Category : Business & Economics Languages : en Pages : 608
Book Description
This overview of subjective probability ranges from discussion of the philosophy of axiom systems through studies in the psychological laboratory to the real world of business decision-making.
Author: Henry Ely Kyburg Publisher: ISBN: Category : Mathematics Languages : en Pages : 278
Book Description
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.
Author: Steven G. Vick Publisher: ASCE Publications ISBN: 0784470863 Category : Technology & Engineering Languages : en Pages : 469
Book Description
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
Author: Jim Albert Publisher: CRC Press ISBN: 1351030124 Category : Mathematics Languages : en Pages : 511
Book Description
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.
Author: Daniel J. Levitin Publisher: Penguin ISBN: 1524742228 Category : Social Science Languages : en Pages : 199
Book Description
Previously Published as A Field Guide to Lies We’re surrounded by fringe theories, fake news, and pseudo-facts. These lies are getting repeated. New York Times bestselling author Daniel Levitin shows how to disarm these socially devastating inventions and get the American mind back on track. Here are the fundamental lessons in critical thinking that we need to know and share now. Investigating numerical misinformation, Daniel Levitin shows how mishandled statistics and graphs can give a grossly distorted perspective and lead us to terrible decisions. Wordy arguments on the other hand can easily be persuasive as they drift away from the facts in an appealing yet misguided way. The steps we can take to better evaluate news, advertisements, and reports are clearly detailed. Ultimately, Levitin turns to what underlies our ability to determine if something is true or false: the scientific method. He grapples with the limits of what we can and cannot know. Case studies are offered to demonstrate the applications of logical thinking to quite varied settings, spanning courtroom testimony, medical decision making, magic, modern physics, and conspiracy theories. This urgently needed book enables us to avoid the extremes of passive gullibility and cynical rejection. As Levitin attests: Truth matters. A post-truth era is an era of willful irrationality, reversing all the great advances humankind has made. Euphemisms like “fringe theories,” “extreme views,” “alt truth,” and even “fake news” can literally be dangerous. Let's call lies what they are and catch those making them in the act.
Author: Hannes Leitgeb Publisher: Oxford University Press ISBN: 0198732635 Category : Mathematics Languages : en Pages : 380
Book Description
In everyday life we normally express our beliefs in all-or-nothing terms: I believe it is going to rain; I don't believe that my lottery ticket will win. In other cases, if possible, we resort to numerical probabilities: my degree of belief that it is going to rain is 80%; the probability that I assign to my ticket winning is one in a million. It is an open philosophical question how all-or-nothing belief and numerical belief relate to each other, and how we ought to reason with them simultaneously. The Stability of Belief develops a theory of rational belief that aims to answer this question by building new bridges between logic and probability theory, traditional and mathematical epistemology, and theoretical and practical rationality. Hannes Leitgeb develops a joint normative theory of all-or-nothing belief and numerical degrees of belief. While rational all-or-nothing belief is studied in traditional epistemology and is usually assumed to obey logical norms, rational degrees of belief constitute the subject matter of Bayesian epistemology and are normally taken to conform to probabilistic norms. One of the central open questions in formal epistemology is what beliefs and degrees of belief have to be like in order for them to cohere with each other. The answer defended in this book is a stability account of belief: a rational agent believes a proposition just in case the agent assigns a stably high degree of belief to it. Leitgeb determines this theory's consequences for, and applications to, learning, suppositional reasoning, decision-making, assertion, acceptance, conditionals, and chance. The volume builds new bridges between logic and probability theory, traditional and formal epistemology, theoretical and practical rationality, and synchronic and diachronic norms for reasoning.
Author: Paolo Manca
Author: Paolo Manca
Author: Richard Jeffrey
Author: George Wright
Author: Henry Ely Kyburg
Author: Steven G. Vick
Author: Jim Albert
Author: Richard Jeffrey
Author: Daniel J. Levitin
Author: Hannes Leitgeb