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"Inferencing is defined as 'the act of deriving logical conclusions from premises known or assumed to be true', and it is one of the most important processes necessary for successful comprehension during reading. This volume features contributions by distinguished researchers in cognitive psychology, educational psychology, and neuroscience on topics central to our understanding of the inferential process during reading. The chapters cover aspects of inferencing that range from the fundamental bottom up processes that form the basis for an inference to occur, to the more strategic processes that transpire when a reader is engaged in literary understanding of a text. Basic activation mechanisms, word-level inferencing, methodological considerations, inference validation, causal inferencing, emotion, development of inferences processes as a skill, embodiment, contributions from neuroscience, and applications to naturalistic text are all covered as well as expository text and online learning materials, and literary immersion"--
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Philosophy --- Knowledge, Theory of. --- Inference. --- Thought and thinking.
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This book compiles theoretical developments on statistical inference for time series and related models in honor of Masanobu Taniguchi's 70th birthday. It covers models such as long-range dependence models, nonlinear conditionally heteroscedastic time series, locally stationary processes, integer-valued time series, Lévy Processes, complex-valued time series, categorical time series, exclusive topic models, and copula models. Many cutting-edge methods such as empirical likelihood methods, quantile regression, portmanteau tests, rank-based inference, change-point detection, testing for the goodness-of-fit, higher-order asymptotic expansion, minimum contrast estimation, optimal transportation, and topological methods are proposed, considered, or applied to complex data based on the statistical inference for stochastic processes. The performances of these methods are illustrated by a variety of data analyses. This collection of original papers provides the reader with comprehensive and state-of-the-art theoretical works on time series and related models. It contains deep and profound treatments of the asymptotic theory of statistical inference. In addition, many specialized methodologies based on the asymptotic theory are presented in a simple way for a wide variety of statistical models. This Festschrift finds its core audiences in statistics, signal processing, and econometrics.
Mathematical statistics --- statistiek --- Time-series analysis. --- Mathematical statistics. --- Nonparametric statistics. --- Time Series Analysis. --- Parametric Inference. --- Non-parametric Inference. --- Mathematical Statistics. --- Estadística matemàtica --- Anàlisi de sèries temporals
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When people speak, their words never fully encode what they mean, and the context is always compatible with a variety of interpretations. How can comprehension ever be achieved? Wilson and Sperber argue that comprehension is a process of inference guided by precise expectations of relevance. What are the relations between the linguistically encoded meanings studied in semantics and the thoughts that humans are capable of entertaining and conveying? How should we analyse literal meaning, approximations, metaphors and ironies? Is the ability to understand speakers' meanings rooted in a more general human ability to understand other minds? How do these abilities interact in evolution and in cognitive development? Meaning and Relevance sets out to answer these and other questions, enriching and updating relevance theory and exploring its implications for linguistics, philosophy, cognitive science and literary studies.
Lexicology. Semantics --- Psycholinguistics --- Semantics --- Relevance (Philosophy) --- Inference --- Cognition --- Sémantique --- Pertinence (Logique) --- Inférence (Logique) --- Semantics. --- Relevance. --- Inference. --- Cognition. --- 801.56 --- Syntaxis. Semantiek --- 801.56 Syntaxis. Semantiek --- Sémantique --- Inférence (Logique) --- Relevance --- Formal semantics --- Semasiology --- Semiology (Semantics) --- Comparative linguistics --- Information theory --- Language and languages --- Lexicology --- Meaning (Psychology) --- Pertinence --- Relevancy --- Meaning (Philosophy) --- Ampliative induction --- Induction, Ampliative --- Inference (Logic) --- Reasoning --- Psychology --- Arts and Humanities --- Language & Linguistics --- Inférence --- Théorie de la pertinence (linguistique) --- Inférence --- Théorie de la pertinence (linguistique)
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This book describes the probability theory associated with frequently used statistical procedures and the relation between probability theory and statistical inference. The first third of the book is dedicated to probability theory including topics relating to events, random variables, and the Central Limit Theorem. Statistical topics then include parameter estimation with confidence intervals, hypothesis testing, chi-square tests, t tests, and several non-parametric tests. Flow charts are frequently used to facilitate an understanding of the material considered. The examples and problems in the book all concern simple data sets which can be analyzed with a simple calculator; however, the R code required to complete many examples and problems is provided as well for those that are interested.
Statistical science --- Biomathematics. Biometry. Biostatistics --- biomathematica --- biostatistiek --- statistiek --- biometrie --- statistisch onderzoek --- Statistics. --- Nonparametric statistics. --- Biometry. --- Statistical Theory and Methods. --- Non-parametric Inference. --- Biostatistics. --- Estadística matemàtica
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This book provides a quick but insightful introduction to Bayesian tracking and particle filtering for a person who has some background in probability and statistics and wishes to learn the basics of single-target tracking. It also introduces the reader to multiple target tracking by presenting useful approximate methods that are easy to implement compared to full-blown multiple target trackers. The book presents the basic concepts of Bayesian inference and demonstrates the power of the Bayesian method through numerous applications of particle filters to tracking and smoothing problems. It emphasizes target motion models that incorporate knowledge about the target’s behavior in a natural fashion rather than assumptions made for mathematical convenience. The background provided by this book allows a person to quickly become a productive member of a project team using Bayesian filtering and to develop new methods and techniques for problems the team may face.
Statistical science --- Mathematical statistics --- Information systems --- statistiek --- gegevensanalyse --- Engineering—Data processing. --- Statistics. --- Big data. --- Data Engineering. --- Bayesian Inference. --- Big Data. --- Mathematics
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This book presents a study of statistical inferences based on the kernel-type estimators of distribution functions. The inferences involve matters such as quantile estimation, nonparametric tests, and mean residual life expectation, to name just some. Convergence rates for the kernel estimators of density functions are slower than ordinary parametric estimators, which have root-n consistency. If the appropriate kernel function is used, the kernel estimators of the distribution functions recover the root-n consistency, and the inferences based on kernel distribution estimators have root-n consistency. Further, the kernel-type estimator produces smooth estimation results. The estimators based on the empirical distribution function have discrete distribution, and the normal approximation cannot be improved—that is, the validity of the Edgeworth expansion cannot be proved. If the support of the population density function is bounded, there is a boundary problem, namely the estimator does not have consistency near the boundary. The book also contains a study of the mean squared errors of the estimators and the Edgeworth expansion for quantile estimators.
Statistical science --- Mathematical statistics --- statistiek --- statistisch onderzoek --- Statistics. --- Nonparametric statistics. --- Mathematical statistics. --- Statistical Theory and Methods. --- Applied Statistics. --- Non-parametric Inference. --- Mathematical Statistics. --- Mathematics
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Decision theory and the theory of rational choice have recently been the subjects of considerable research by philosophers and economists. However, no adequate anthology exists which can be used to introduce students to the field. This volume is designed to meet that need. The essays included are organized into five parts covering the foundations of decision theory, the conceptualization of probability and utility, pholosophical difficulties with the rules of rationality and with the assessment of probability, and causal decision theory. The editors provide an extensive introduction to the field and introductions to each part.
Mathematical statistics --- 519.226 --- Bayesian statistical decision theory. --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- 519.226 Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- Bayesian statistical decision theory --- Arts and Humanities --- Philosophy
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The thirty-five chapters in this book describe various judgmental heuristics and the biases they produce, not only in laboratory experiments but in important social, medical, and political situations as well. Individual chapters discuss the representativeness and availability heuristics, problems in judging covariation and control, overconfidence, multistage inference, social perception, medical diagnosis, risk perception, and methods for correcting and improving judgments under uncertainty. About half of the chapters are edited versions of classic articles; the remaining chapters are newly written for this book. Most review multiple studies or entire subareas of research and application rather than describing single experimental studies. This book will be useful to a wide range of students and researchers, as well as to decision makers seeking to gain insight into their judgments and to improve them.
Heuristic. --- Judgment. --- Heuristic --- Judgment --- 519.226 --- Judgement --- Knowledge, Theory of --- Language and languages --- Psychology --- Thought and thinking --- Wisdom --- 519.226 Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- Inference and decision theory. Likelihood. Bayesian theory. Fiducial probability --- Methodology --- Philosophy --- Theory of knowledge --- Health Sciences --- Psychiatry & Psychology
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This textbook reconstructs the statistics curriculum from the perspective of posterior probability. In recent years, there have been several reports that the results of studies using significant tests cannot be reproduced. It is a problem called a “reproducibility crisis”. For example, suppose we could reject the null hypothesis that “the average number of days to recovery in patients who took a new drug was the same as that in the control group”. However, rejecting the null hypothesis is only a necessary condition for the new drug to be effective. Even if the necessary conditions are met, it does not necessarily mean that the new drug is effective. In fact, there are many cases where the effect is not reproduced. Sufficient conditions should be presented, such as “the average number of days until recovery in patients who take new drugs is sufficiently short compared to the control group, evaluated from a medical point of view”, without paying attention to necessary conditions. This book reconstructs statistics from the perspective of PHC, i.e., probability that a research hypothesis is correct. For example, the PHC curve shows the posterior probability that the statement “The average number of days until recovery for patients taking a new drug is at least θ days shorter than that of the control group” is correct as a function of θ. Using the PHC curve makes it possible to discuss the sufficient conditions rather than the necessary conditions for being an efficient treatment. The value of statistical research should be evaluated with concrete indicators such as “90% probability of being at least 3 days shorter”, not abstract metrics like the p-value.
Psychology --- Social sciences (general) --- Statistical science --- Mathematical statistics --- Probability theory --- waarschijnlijkheidstheorie --- psychologie --- sociale wetenschappen --- statistiek --- statistisch onderzoek --- Social sciences --- Statistics. --- Markov processes. --- Mathematical statistics. --- Psychometrics. --- Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. --- Statistical Theory and Methods. --- Markov Process. --- Bayesian Inference. --- Parametric Inference. --- Statistical methods. --- Estadística matemàtica --- Probabilitats
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