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State of the Art in Probability and Statistics

State of the Art in Probability and Statistics
Author:
Publisher:
Total Pages: 616
Release: 2008
Genre: Probabilities
ISBN:

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This e-book is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press.


Decision Making and Change in Human Affairs

Decision Making and Change in Human Affairs
Author: H. Jungermann
Publisher: Springer Science & Business Media
Total Pages: 525
Release: 2012-12-06
Genre: Social Science
ISBN: 9401012768

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It is only just recently that people have the tools to judge how well they are doing when making decisions. These tools were conceptualized in the seventeenth century. Since then many people have worked to sharpen the concepts, and to explore how these can be applied further. The problems of decision-making and the theory developed correspondingly have drawn the interest of mathematicians, psychologists, statisticians, economists, philosophers, organizational experts, sociologists, not only for their general relevance, but also for a more intrinsic fascination. There are quite a few institutionalized activities to disseminate results and stimulate research in decision-making. For about a decade now a European organizational structure, centered mainly around the psy chological interest in decision-making. There have been conferences in Hamburg, Amsterdam, Uxbridge, Rome and Darmstadt. Conference papers have been partly published+. The organization has thus stabilized, and its re latively long history makes it interesting to see what kind of developments occurred, within the area of interest.


An Invitation to Statistics in Wasserstein Space

An Invitation to Statistics in Wasserstein Space
Author: Victor M. Panaretos
Publisher: Springer Nature
Total Pages: 157
Release: 2020-03-10
Genre: Mathematics
ISBN: 3030384381

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This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.


The Art Of Probability

The Art Of Probability
Author: Richard W. Hamming
Publisher: CRC Press
Total Pages: 266
Release: 2018-03-05
Genre: Mathematics
ISBN: 042997258X

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Offering accessible and nuanced coverage, Richard W. Hamming discusses theories of probability with unique clarity and depth. Topics covered include the basic philosophical assumptions, the nature of stochastic methods, and Shannon entropy. One of the best introductions to the topic, The Art of Probability is filled with unique insights and tricks worth knowing.


Philosophy of Statistics

Philosophy of Statistics
Author:
Publisher: Elsevier
Total Pages: 1253
Release: 2011-05-31
Genre: Philosophy
ISBN: 0080930964

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Statisticians and philosophers of science have many common interests but restricted communication with each other. This volume aims to remedy these shortcomings. It provides state-of-the-art research in the area of philosophy of statistics by encouraging numerous experts to communicate with one another without feeling “restricted by their disciplines or thinking “piecemeal in their treatment of issues. A second goal of this book is to present work in the field without bias toward any particular statistical paradigm. Broadly speaking, the essays in this Handbook are concerned with problems of induction, statistics and probability. For centuries, foundational problems like induction have been among philosophers’ favorite topics; recently, however, non-philosophers have increasingly taken a keen interest in these issues. This volume accordingly contains papers by both philosophers and non-philosophers, including scholars from nine academic disciplines. Provides a bridge between philosophy and current scientific findings Covers theory and applications Encourages multi-disciplinary dialogue


40 Puzzles and Problems in Probability and Mathematical Statistics

40 Puzzles and Problems in Probability and Mathematical Statistics
Author: Wolf Schwarz
Publisher: Springer
Total Pages: 0
Release: 2010-11-23
Genre: Mathematics
ISBN: 9781441925220

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This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.


Probability, Induction and Statistics

Probability, Induction and Statistics
Author: Bruno De Finetti
Publisher: John Wiley & Sons
Total Pages: 300
Release: 1972
Genre: Mathematics
ISBN:

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Probability, Statistics, And Decision Making In The Atmospheric Sciences

Probability, Statistics, And Decision Making In The Atmospheric Sciences
Author: Allan Murphy
Publisher: CRC Press
Total Pages: 560
Release: 2019-07-11
Genre: Mathematics
ISBN: 1000236323

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Methodology drawn from the fields of probability. statistics and decision making plays an increasingly important role in the atmosphericsciences. both in basic and applied research and in experimental and operational studies. Applications of such methodology can be found in almost every facet of the discipline. from the most theoretical and global (e.g., atmospheric predictability. global climate modeling) to the most practical and local (e.g., crop-weather modeling forecast evaluation). Almost every issue of the multitude of journals published by the atmospheric sciences community now contain some or more papers involving applications of concepts and/or methodology from the fields of probability and statistics. Despite the increasingly pervasive nature of such applications. very few book length treatments of probabilistic and statistical topics of particular interest to atmospheric scientists have appeared (especially inEnglish) since the publication of the pioneering works of Brooks andCarruthers (Handbook of Statistical Methods in Meteorology) in 1953 and Panofsky and Brier-(some Applications of)statistics to Meteor) in 1958. As a result. many relatively recent developments in probability and statistics are not well known to atmospheric scientists and recent work in active areas of meteorological research involving significant applications of probabilistic and statistical methods are not familiar to the meteorological community as a whole.


Statistical Methodologies

Statistical Methodologies
Author: Jan Peter Hessling
Publisher: BoD – Books on Demand
Total Pages: 160
Release: 2020-02-26
Genre: Mathematics
ISBN: 1789239974

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Statistical practices have recently been questioned by numerous independent authors, to the extent that a significant fraction of accepted research findings can be questioned. This suggests that statistical methodologies may have gone too far into an engineering practice, with minimal concern for their foundation, interpretation, assumptions, and limitations, which may be jeopardized in the current context. Disguised by overwhelming data sets, advanced processing, and stunning presentations, the basic approach is often intractable to anyone but the analyst. The hierarchical nature of statistical inference, exemplified by Bayesian aggregation of prior and derived knowledge, may also be challenging. Conceptual simplified studies of the kind presented in this book could therefore provide valuable guidance when developing statistical methodologies, but also applying state of the art with greater confidence.