Author: Judith SelvidgePublisher:
ISBN:
Category : Nuclear power plants
Languages : en
Pages : 768
Book Description
Assigning Probabilities to Rare Events
Author: Judith SelvidgePublisher:
ISBN:
Category : Nuclear power plants
Languages : en
Pages : 768
Book Description
Assigning Probabilities to Rare Events
Author: Katrin BorcherdingAssigning Probabilities to Rare Events
Author: J. SelvidgePublisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 736
Book Description
Assigning Probabilities to Rare Events
Author: Katrin BorcherdingUtility, Probability, and Human Decision Making
Author: D. WendtPublisher: Springer Science & Business Media
ISBN: 9401018340
Category : Social Science
Languages : en
Pages : 408
Book Description
Human decision making involves problems which are being studied with increasing interest and sophistication. They range from controversial political decisions via individual consumer decisions to such simple tasks as signal discriminations. Although it would seem that decisions have to do with choices among available actions of any kind, there is general agreement that decision making research should pertain to choice prob lems which cannot be solved without a predecisional stage of finding choice alternatives, weighing evidence, and judging values. The ultimate objective of scientific research on decision making is two-fold: (a) to develop a theoretically sound technology for the optimal solution of decision problems, and (b) to formulate a descriptive theory of human decision making. The latter may, in tum, protect decision makers from being caught in the traps of their own limitations and biases. Recently, in decision making research the strong emphasis on well defined laboratory tasks is decreasing in favour of more realistic studies in various practical settings. This may well have been caused by a growing awareness of the fact that decision-behaviour is strongly determined by situational factors, which makes it necessary to look into processes of interaction between the decision maker and the relevant task environ ment. Almost inevitably there is a parallel shift of interest towards problems of utility measurement and the evaluation of consequences.
Probability and Bayesian Modeling
Author: Jim AlbertPublisher: 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.
A First Course in Bayesian Statistical Methods
Author: Peter D. HoffPublisher: Springer Science & Business Media
ISBN: 0387924078
Category : Mathematics
Languages : en
Pages : 270
Book Description
A self-contained introduction to probability, exchangeability and Bayes’ rule provides a theoretical understanding of the applied material. Numerous examples with R-code that can be run "as-is" allow the reader to perform the data analyses themselves. The development of Monte Carlo and Markov chain Monte Carlo methods in the context of data analysis examples provides motivation for these computational methods.
The Improbability Principle
Author: David J. HandPublisher: Scientific American / Farrar, Straus and Giroux
ISBN: 0374711399
Category : Mathematics
Languages : en
Pages : 288
Book Description
In The Improbability Principle, the renowned statistician David J. Hand argues that extraordinarily rare events are anything but. In fact, they're commonplace. Not only that, we should all expect to experience a miracle roughly once every month. But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of "miracle" is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough. Together, these constitute Hand's groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective. An irresistible adventure into the laws behind "chance" moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it's in the world of business and finance or you're merely sitting in your backyard, tossing a ball into the air and wondering where it will land.
Analysis of Rare Events
Author: Heinz LeitgöbPublisher:
ISBN: 9781526421036
Category : Anthropology
Languages : en
Pages : 0
Book Description
Rare events represent a great analytical challenge. The maximum likelihood-based (ML) binary logit model as the workhorse model in the social sciences can generate heavily biased parameter estimates if events are rare. In detail, the finite sample bias in ML estimates may be substantially larger than that observed in cases with balanced data of the same sample size. Furthermore, the ML estimator is prone to overfitting rare event data even in low-dimensional models and not identified in cases of perfectly separated data. Starting with a brief introduction to the standard binary logit as a reference model, this entry discusses several design issues (e.g., selection on the dependent variable) and analytical approaches (e.g., first-order bias correction, exact conditional inference, penalized ML estimation, specification of cloglog models) to overcome these threats to valid inferences. Finally, the potential of Bayesian rare event modeling, which addresses some limitations of the frequentist probability perspective, is briefly introduced.
Chance Rules
Author: Brian EverittPublisher: Springer Science & Business Media
ISBN: 0387774157
Category : Mathematics
Languages : en
Pages : 212
Book Description
Chance continues to govern our lives in the 21st Century. From the genes we inherit and the environment into which we are born, to the lottery ticket we buy at the local store, much of life is a gamble. In business, education, travel, health, and marriage, we take chances in the hope of obtaining something better. Chance colors our lives with uncertainty, and so it is important to examine it and try to understand about how it operates in a number of different circumstances. Such understanding becomes simpler if we take some time to learn a little about probability, since probability is the natural language of uncertainty. This second edition of Chance Rules again recounts the story of chance through history and the various ways it impacts on our lives. Here you can read about the earliest gamblers who thought that the fall of the dice was controlled by the gods, as well as the modern geneticist and quantum theory researcher trying to integrate aspects of probability into their chosen speciality. Example included in the first addition such as the infamous Monty Hall problem, tossing coins, coincidences, horse racing, birthdays and babies remain, often with an expanded discussion, in this edition. Additional material in the second edition includes, a probabilistic explanation of why things were better when you were younger, consideration of whether you can use probability to prove the existence of God, how long you may have to wait to win the lottery, some court room dramas, predicting the future, and how evolution scores over creationism. Chance Rules lets you learn about probability without complex mathematics.