Exploratory Data Analysis Using Fisher Information

Author: Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 9781846287770
Format: PDF
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This book uses a mathematical approach to deriving the laws of science and technology, based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). The authors show how to use EPI to determine the theoretical input/output laws of unknown systems. Will benefit readers whose math skill is at the level of an undergraduate science or engineering degree.

Information Theory and Statistical Learning

Author: Frank Emmert-Streib
Publisher: Springer Science & Business Media
ISBN: 0387848150
Format: PDF, ePub, Docs
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This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.

The Palgrave Handbook of Quantum Models in Social Science

Author: Emmanuel Haven
Publisher: Springer
ISBN: 1137492767
Format: PDF
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It is not intuitive to accept that there exists a link between quantum physical systems and cognitive systems. However, recent research has shown that cognitive systems and collective (social) systems, including biology, exhibit uncertainty which can be successfully modelled with quantum probability. The use of such probability allows for the modelling of situations which typically violate the laws of classical probability. The Palgrave Handbook of Quantum Models in Social Science is is a unique volume that brings together contributions from leading experts on key topics in this new and emerging field. Completely self-contained, it begins with an introductory section which gathers all the fundamental notions required to be able to understand later chapters. The handbook then moves on to address some of the latest research and applications for quantum methods in social science disciplines, including economics, politics and psychology. It begins with the issue of how the quantum mechanical framework can be applied to economics. Chapters devoted to this topic range from how Fisher information can be argued to play a role in economics, to the foundations and application of quantum game theory. The handbook then progresses in considering how belief states can be updated with the theory of quantum measurements (and also with more general methods). The practical use of the Hilbert space (and Fock space) in decision theory is then introduced, and open quantum systems are also considered. The handbook also treats a model of neural oscillators that reproduces some of the features of quantum cognition. Other contributions delve into causal reasoning using quantum Bayes nets and the role of quantum probability in modelling so called affective evaluation. The handbook is rounded off with two chapters which discuss the grand challenges which lie ahead of us. How can the quantum formalism be justified in social science and is the traditional quantum formalism too restrictive? Finally, a question is posed: whether there is a necessary role for quantum mathematical models to go beyond physics. This book will bring the latest and most cutting edge research on quantum theory to social science disciplines. Students and researchers across the discipline, as well as those in the fields of physics and mathematics will welcome this important addition to the literature.

Exploratory Data Analysis in Empirical Research

Author: Manfred Schwaiger
Publisher: Springer Science & Business Media
ISBN: 364255721X
Format: PDF, Mobi
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This volume presents a selection of new methods and approaches in the field of Exploratory Data Analysis. The reader will find numerous ideas and examples for cross disciplinary applications of classification and data analysis methods in fields such as data and web mining, medicine and biological sciences as well as marketing, finance and management sciences.

Science from Fisher Information

Author: B. Roy Frieden
Publisher: Cambridge University Press
ISBN: 9780521009119
Format: PDF, Kindle
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The second edition of the hugely successful Physics from Fisher Information.

Robustness in Data Analysis

Author: Georgij Leonidovič Ševljakov
Publisher: VSP
ISBN: 9789067643511
Format: PDF, ePub, Mobi
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The field of mathematical statistics called robustness statistics deals with the stability of statistical inference under variations of accepted distribution models. Although robust statistics involves mathematically highly defined tools, robust methods exhibit a satisfactory behaviour in small samples, thus being quite useful in applications. This volume in the book series Modern Probability and Statistics addresses various topics in the field of robust statistics and data analysis, such as: a probability-free approach in data analysis; minimax variance estimators of location, scale, regression, autoregression and correlation; "L1-norm methods; adaptive, data reduction, bivariate boxplot, and multivariate outlier detection algorithms; applications in reliability, detection of signals, and analysis of the sudden cardiac death risk factors. The book contains new results related to robustness and data analysis technologies, including both theoretical aspects and practical needs of data processing, which have been relatively inaccessible as they were originally only published in Russian. This book will be of value and interest to researchers in mathematical statistics as well as to those using statistical methods.

Analysis of Longitudinal Data

Author: Peter Diggle
Publisher: OUP Oxford
ISBN: 0191664332
Format: PDF, ePub, Mobi
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The first edition of Analysis for Longitudinal Data has become a classic. Describing the statistical models and methods for the analysis of longitudinal data, it covers both the underlying statistical theory of each method, and its application to a range of examples from the agricultural and biomedical sciences. The main topics discussed are design issues, exploratory methods of analysis, linear models for continuous data, general linear models for discrete data, and models and methods for handling data and missing values. Under each heading, worked examples are presented in parallel with the methodological development, and sufficient detail is given to enable the reader to reproduce the author's results using the data-sets as an appendix. This second edition, published for the first time in paperback, provides a thorough and expanded revision of this important text. It includes two new chapters; the first discusses fully parametric models for discrete repeated measures data, and the second explores statistical models for time-dependent predictors.

Econometrics of Information and Efficiency

Author: Jati Sengupta
Publisher: Springer Science & Business Media
ISBN: 9780792323532
Format: PDF, ePub
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Broadly viewed, information theory analyzes the uncertainty of a given set of data and its probabilistic characteristics. Whereas the economic theory of information emphasizes the value of information to agents in a market, the entropy theory stresses the various aspects of imprecision of data and their interactions with the subjective decision processes.

Classics from IJGIS

Author: Peter Fisher
Publisher: CRC Press
ISBN: 1420006371
Format: PDF
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The past 20 years can be regarded as the adolescence of geographic information science (GIS), as it grew from a burgeoning area of study into a mature and thriving field. During those two decades, the International Journal of Geographic Information Science (formerly Systems) (IJGIS) was one of the most prominent academic guiding forces in GIScience, and looks to remain so for the foreseeable future. To celebrate this important milestone, Peter Fisher-the second editor of IJGIS-has compiled 19 of the most significant and influential articles ever published in the journal. Classics from IJGIS: Twenty Years of the International Journal of Geographical Information Science and Systems contains articles that shaped the way we approach the science of GIS, provided seeds from which grew key developments that have molded the field, opened new avenues of discovery across the landscape of modern GIScience, and some that may mark how it will change in the future. Accompanying nearly every article is a commentary written by at least one of the original authors. In these commentaries, the authors reflect on various aspects of the original work, including what drove their original research, why the concepts were widely adopted (or in some cases, why not), and what the future may hold for new research embarking on these and similar areas. The 20th article in this collection is an original contribution that examines the social and collaborative networks operating within and shaping the body of research in the field.