Analyzing Data Through Probabilistic Modeling In Statistics

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Analyzing Data Through Probabilistic Modeling in Statistics

Jakóbczak, Dariusz Jacek
Analyzing Data Through Probabilistic Modeling in Statistics Book PDF

Author : Jakóbczak, Dariusz Jacek
Publisher : IGI Global
Page : 331 pages
File Size : 40,7 Mb
Release : 2021-02-19
Category : Mathematics
ISBN : 9781799847076

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Analyzing Data Through Probabilistic Modeling in Statistics by Jakóbczak, Dariusz Jacek Pdf

Probabilistic modeling represents a subject arising in many branches of mathematics, economics, and computer science. Such modeling connects pure mathematics with applied sciences. Similarly, data analyzing and statistics are situated on the border between pure mathematics and applied sciences. Therefore, when probabilistic modeling meets statistics, it is a very interesting occasion that has gained much research recently. With the increase of these technologies in life and work, it has become somewhat essential in the workplace to have planning, timetabling, scheduling, decision making, optimization, simulation, data analysis, and risk analysis and process modeling. However, there are still many difficulties and challenges that arrive in these sectors during the process of planning or decision making. There continues to be the need for more research on the impact of such probabilistic modeling with other approaches. Analyzing Data Through Probabilistic Modeling in Statistics is an essential reference source that builds on the available literature in the field of probabilistic modeling, statistics, operational research, planning and scheduling, data extrapolation in decision making, probabilistic interpolation and extrapolation in simulation, stochastic processes, and decision analysis. This text will provide the resources necessary for economics and management sciences and for mathematics and computer sciences. This book is ideal for interested technology developers, decision makers, mathematicians, statisticians and practitioners, stakeholders, researchers, academicians, and students looking to further their research exposure to pertinent topics in operations research and probabilistic modeling.

Analyzing Risk through Probabilistic Modeling in Operations Research

Jakóbczak, Dariusz Jacek
Analyzing Risk through Probabilistic Modeling in Operations Research Book PDF

Author : Jakóbczak, Dariusz Jacek
Publisher : IGI Global
Page : 442 pages
File Size : 53,8 Mb
Release : 2015-11-03
Category : Business & Economics
ISBN : 9781466694590

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Analyzing Risk through Probabilistic Modeling in Operations Research by Jakóbczak, Dariusz Jacek Pdf

Probabilistic modeling represents a subject spanning many branches of mathematics, economics, and computer science to connect pure mathematics with applied sciences. Operational research also relies on this connection to enable the improvement of business functions and decision making. Analyzing Risk through Probabilistic Modeling in Operations Research is an authoritative reference publication discussing the various challenges in management and decision science. Featuring exhaustive coverage on a range of topics within operational research including, but not limited to, decision analysis, data mining, process modeling, probabilistic interpolation and extrapolation, and optimization methods, this book is an essential reference source for decision makers, academicians, researchers, advanced-level students, technology developers, and government officials interested in the implementation of probabilistic modeling in various business applications.

Handbook of Probabilistic Models

Pijush Samui,Dieu Tien Bui,Subrata Chakraborty,Ravinesh C. Deo
Handbook of Probabilistic Models Book PDF

Author : Pijush Samui,Dieu Tien Bui,Subrata Chakraborty,Ravinesh C. Deo
Publisher : Butterworth-Heinemann
Page : 590 pages
File Size : 50,9 Mb
Release : 2019-10-05
Category : Computers
ISBN : 9780128165461

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Handbook of Probabilistic Models by Pijush Samui,Dieu Tien Bui,Subrata Chakraborty,Ravinesh C. Deo Pdf

Handbook of Probabilistic Models carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive handbook, practitioners, researchers and scientists will find detailed explanations of technical concepts, applications of the proposed methods, and the respective scientific approaches needed to solve the problem. This book provides an interdisciplinary approach that creates advanced probabilistic models for engineering fields, ranging from conventional fields of mechanical engineering and civil engineering, to electronics, electrical, earth sciences, climate, agriculture, water resource, mathematical sciences and computer sciences. Specific topics covered include minimax probability machine regression, stochastic finite element method, relevance vector machine, logistic regression, Monte Carlo simulations, random matrix, Gaussian process regression, Kalman filter, stochastic optimization, maximum likelihood, Bayesian inference, Bayesian update, kriging, copula-statistical models, and more. Explains the application of advanced probabilistic models encompassing multidisciplinary research Applies probabilistic modeling to emerging areas in engineering Provides an interdisciplinary approach to probabilistic models and their applications, thus solving a wide range of practical problems

Bayesian Analysis with Python

Osvaldo Martin
Bayesian Analysis with Python Book PDF

Author : Osvaldo Martin
Publisher : Packt Publishing Ltd
Page : 350 pages
File Size : 53,7 Mb
Release : 2018-12-26
Category : Computers
ISBN : 9781789349665

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Bayesian Analysis with Python by Osvaldo Martin Pdf

Bayesian modeling with PyMC3 and exploratory analysis of Bayesian models with ArviZ Key FeaturesA step-by-step guide to conduct Bayesian data analyses using PyMC3 and ArviZA modern, practical and computational approach to Bayesian statistical modelingA tutorial for Bayesian analysis and best practices with the help of sample problems and practice exercises.Book Description The second edition of Bayesian Analysis with Python is an introduction to the main concepts of applied Bayesian inference and its practical implementation in Python using PyMC3, a state-of-the-art probabilistic programming library, and ArviZ, a new library for exploratory analysis of Bayesian models. The main concepts of Bayesian statistics are covered using a practical and computational approach. Synthetic and real data sets are used to introduce several types of models, such as generalized linear models for regression and classification, mixture models, hierarchical models, and Gaussian processes, among others. By the end of the book, you will have a working knowledge of probabilistic modeling and you will be able to design and implement Bayesian models for your own data science problems. After reading the book you will be better prepared to delve into more advanced material or specialized statistical modeling if you need to. What you will learnBuild probabilistic models using the Python library PyMC3 Analyze probabilistic models with the help of ArviZ Acquire the skills required to sanity check models and modify them if necessary Understand the advantages and caveats of hierarchical modelsFind out how different models can be used to answer different data analysis questionsCompare models and choose between alternative onesDiscover how different models are unified from a probabilistic perspective Think probabilistically and benefit from the flexibility of the Bayesian frameworkWho this book is for If you are a student, data scientist, researcher, or a developer looking to get started with Bayesian data analysis and probabilistic programming, this book is for you. The book is introductory so no previous statistical knowledge is required, although some experience in using Python and NumPy is expected.

Bayesian Data Analysis, Third Edition

Andrew Gelman,John B. Carlin,Hal S. Stern,David B. Dunson,Aki Vehtari,Donald B. Rubin
Bayesian Data Analysis Third Edition Book PDF

Author : Andrew Gelman,John B. Carlin,Hal S. Stern,David B. Dunson,Aki Vehtari,Donald B. Rubin
Publisher : CRC Press
Page : 677 pages
File Size : 49,7 Mb
Release : 2013-11-01
Category : Mathematics
ISBN : 9781439840955

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Bayesian Data Analysis, Third Edition by Andrew Gelman,John B. Carlin,Hal S. Stern,David B. Dunson,Aki Vehtari,Donald B. Rubin Pdf

Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Hybrid Random Fields

Antonino Freno,Edmondo Trentin
Hybrid Random Fields Book PDF

Author : Antonino Freno,Edmondo Trentin
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 53,6 Mb
Release : 2011-04-11
Category : Technology & Engineering
ISBN : 9783642203084

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Hybrid Random Fields by Antonino Freno,Edmondo Trentin Pdf

This book presents an exciting new synthesis of directed and undirected, discrete and continuous graphical models. Combining elements of Bayesian networks and Markov random fields, the newly introduced hybrid random fields are an interesting approach to get the best of both these worlds, with an added promise of modularity and scalability. The authors have written an enjoyable book---rigorous in the treatment of the mathematical background, but also enlivened by interesting and original historical and philosophical perspectives. -- Manfred Jaeger, Aalborg Universitet The book not only marks an effective direction of investigation with significant experimental advances, but it is also---and perhaps primarily---a guide for the reader through an original trip in the space of probabilistic modeling. While digesting the book, one is enriched with a very open view of the field, with full of stimulating connections. [...] Everyone specifically interested in Bayesian networks and Markov random fields should not miss it. -- Marco Gori, Università degli Studi di Siena Graphical models are sometimes regarded---incorrectly---as an impractical approach to machine learning, assuming that they only work well for low-dimensional applications and discrete-valued domains. While guiding the reader through the major achievements of this research area in a technically detailed yet accessible way, the book is concerned with the presentation and thorough (mathematical and experimental) investigation of a novel paradigm for probabilistic graphical modeling, the hybrid random field. This model subsumes and extends both Bayesian networks and Markov random fields. Moreover, it comes with well-defined learning algorithms, both for discrete and continuous-valued domains, which fit the needs of real-world applications involving large-scale, high-dimensional data.

Doing Data Science in R

Mark Andrews
Doing Data Science in R Book PDF

Author : Mark Andrews
Publisher : SAGE
Page : 576 pages
File Size : 51,7 Mb
Release : 2021-03-31
Category : Social Science
ISBN : 9781529752694

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Doing Data Science in R by Mark Andrews Pdf

This approachable introduction to doing data science in R provides step-by-step advice on using the tools and statistical methods to carry out data analysis. Introducing the fundamentals of data science and R before moving into more advanced topics like Multilevel Models and Probabilistic Modelling with Stan, it builds knowledge and skills gradually. This book: Focuses on providing practical guidance for all aspects, helping readers get to grips with the tools, software, and statistical methods needed to provide the right type and level of analysis their data requires Explores the foundations of data science and breaks down the processes involved, focusing on the link between data science and practical social science skills Introduces R at the outset and includes extensive worked examples and R code every step of the way, ensuring students see the value of R and its connection to methods while providing hands-on practice in the software Provides examples and datasets from different disciplines and locations demonstrate the widespread relevance, possible applications, and impact of data science across the social sciences.

Data Analysis and Approximate Models

Patrick Laurie Davies
Data Analysis and Approximate Models Book PDF

Author : Patrick Laurie Davies
Publisher : CRC Press
Page : 320 pages
File Size : 52,8 Mb
Release : 2014-07-07
Category : Mathematics
ISBN : 9781482215878

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Data Analysis and Approximate Models by Patrick Laurie Davies Pdf

The First Detailed Account of Statistical Analysis That Treats Models as ApproximationsThe idea of truth plays a role in both Bayesian and frequentist statistics. The Bayesian concept of coherence is based on the fact that two different models or parameter values cannot both be true. Frequentist statistics is formulated as the problem of estimating

Statistical Analysis of Network Data

Eric D. Kolaczyk
Statistical Analysis of Network Data Book PDF

Author : Eric D. Kolaczyk
Publisher : Springer Science & Business Media
Page : 397 pages
File Size : 52,5 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780387881461

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Statistical Analysis of Network Data by Eric D. Kolaczyk Pdf

In recent years there has been an explosion of network data – that is, measu- ments that are either of or from a system conceptualized as a network – from se- ingly all corners of science. The combination of an increasingly pervasive interest in scienti c analysis at a systems level and the ever-growing capabilities for hi- throughput data collection in various elds has fueled this trend. Researchers from biology and bioinformatics to physics, from computer science to the information sciences, and from economics to sociology are more and more engaged in the c- lection and statistical analysis of data from a network-centric perspective. Accordingly, the contributions to statistical methods and modeling in this area have come from a similarly broad spectrum of areas, often independently of each other. Many books already have been written addressing network data and network problems in speci c individual disciplines. However, there is at present no single book that provides a modern treatment of a core body of knowledge for statistical analysis of network data that cuts across the various disciplines and is organized rather according to a statistical taxonomy of tasks and techniques. This book seeks to ll that gap and, as such, it aims to contribute to a growing trend in recent years to facilitate the exchange of knowledge across the pre-existing boundaries between those disciplines that play a role in what is coming to be called ‘network science.

Bayesian Analysis with Python

Osvaldo Martin
Bayesian Analysis with Python Book PDF

Author : Osvaldo Martin
Publisher : Packt Publishing Ltd
Page : 395 pages
File Size : 55,5 Mb
Release : 2024-01-31
Category : Computers
ISBN : 9781805125419

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Bayesian Analysis with Python by Osvaldo Martin Pdf

Learn the fundamentals of Bayesian modeling using state-of-the-art Python libraries, such as PyMC, ArviZ, Bambi, and more, guided by an experienced Bayesian modeler who contributes to these libraries Key Features Conduct Bayesian data analysis with step-by-step guidance Gain insight into a modern, practical, and computational approach to Bayesian statistical modeling Enhance your learning with best practices through sample problems and practice exercises Purchase of the print or Kindle book includes a free PDF eBook. Book DescriptionThe third edition of Bayesian Analysis with Python serves as an introduction to the main concepts of applied Bayesian modeling using PyMC, a state-of-the-art probabilistic programming library, and other libraries that support and facilitate modeling like ArviZ, for exploratory analysis of Bayesian models; Bambi, for flexible and easy hierarchical linear modeling; PreliZ, for prior elicitation; PyMC-BART, for flexible non-parametric regression; and Kulprit, for variable selection. In this updated edition, a brief and conceptual introduction to probability theory enhances your learning journey by introducing new topics like Bayesian additive regression trees (BART), featuring updated examples. Refined explanations, informed by feedback and experience from previous editions, underscore the book's emphasis on Bayesian statistics. You will explore various models, including hierarchical models, generalized linear models for regression and classification, mixture models, Gaussian processes, and BART, using synthetic and real datasets. By the end of this book, you will possess a functional understanding of probabilistic modeling, enabling you to design and implement Bayesian models for your data science challenges. You'll be well-prepared to delve into more advanced material or specialized statistical modeling if the need arises.What you will learn Build probabilistic models using PyMC and Bambi Analyze and interpret probabilistic models with ArviZ Acquire the skills to sanity-check models and modify them if necessary Build better models with prior and posterior predictive checks Learn the advantages and caveats of hierarchical models Compare models and choose between alternative ones Interpret results and apply your knowledge to real-world problems Explore common models from a unified probabilistic perspective Apply the Bayesian framework's flexibility for probabilistic thinking Who this book is for If you are a student, data scientist, researcher, or developer looking to get started with Bayesian data analysis and probabilistic programming, this book is for you. The book is introductory, so no previous statistical knowledge is required, although some experience in using Python and scientific libraries like NumPy is expected.

Analysis of Variance, Design, and Regression

Ronald Christensen
Analysis of Variance Design and Regression Book PDF

Author : Ronald Christensen
Publisher : CRC Press
Page : 453 pages
File Size : 52,8 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781498730198

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Analysis of Variance, Design, and Regression by Ronald Christensen Pdf

Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data, Second Edition presents linear structures for modeling data with an emphasis on how to incorporate specific ideas (hypotheses) about the structure of the data into a linear model for the data. The book carefully analyzes small data sets by using tools that are easily scaled to big data. The tools also apply to small relevant data sets that are extracted from big data. New to the Second Edition Reorganized to focus on unbalanced data Reworked balanced analyses using methods for unbalanced data Introductions to nonparametric and lasso regression Introductions to general additive and generalized additive models Examination of homologous factors Unbalanced split plot analyses Extensions to generalized linear models R, Minitab®, and SAS code on the author’s website The text can be used in a variety of courses, including a yearlong graduate course on regression and ANOVA or a data analysis course for upper-division statistics students and graduate students from other fields. It places a strong emphasis on interpreting the range of computer output encountered when dealing with unbalanced data.

Probabilities in Physics

Claus Beisbart,Stephan Hartmann
Probabilities in Physics Book PDF

Author : Claus Beisbart,Stephan Hartmann
Publisher : Oxford University Press
Page : 128 pages
File Size : 40,8 Mb
Release : 2011-09-15
Category : Philosophy
ISBN : 9780191618208

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Probabilities in Physics by Claus Beisbart,Stephan Hartmann Pdf

Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.

Statistical Analysis of Stochastic Processes in Time

J. K. Lindsey
Statistical Analysis of Stochastic Processes in Time Book PDF

Author : J. K. Lindsey
Publisher : Cambridge University Press
Page : 354 pages
File Size : 42,5 Mb
Release : 2004-08-02
Category : Mathematics
ISBN : 0521837413

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Statistical Analysis of Stochastic Processes in Time by J. K. Lindsey Pdf

This introduction to ways of modelling a wide variety of phenomena that occur over time is accessible to anyone with a basic knowledge of statistical ideas. J.K. Lindsey concentrates on tractable models involving simple processes for which explicit probability models, hence likelihood functions, can be specified. (These models are the most useful in statistical applications modelling empirical data.) Examples are drawn from physical, biological and social sciences, to show how the book's underlying ideas can be applied, and data sets and R code are supplied for them. Author resource page: http://popgen.unimaas.nl/~jlindsey/books.html

Integrating Blockchain Technology Into the Circular Economy

Khan, Syed Abdul Rehman
Integrating Blockchain Technology Into the Circular Economy Book PDF

Author : Khan, Syed Abdul Rehman
Publisher : IGI Global
Page : 307 pages
File Size : 43,8 Mb
Release : 2022-03-11
Category : Business & Economics
ISBN : 9781799876441

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Integrating Blockchain Technology Into the Circular Economy by Khan, Syed Abdul Rehman Pdf

In recent decades, the industrial revolution has increased economic growth despite its immersion in global environmental issues such as climate change. Researchers emphasize the adoption of circular economy practices in global supply chains and businesses for better socio-environmental sustainability without compromising economic growth. Integrating blockchain technology into business practices could promote the circular economy as well as global environmental sustainability. Integrating Blockchain Technology Into the Circular Economy discusses the technological advancements in circular economy practices, which provide better results for both economic growth and environmental sustainability. It provides relevant theoretical frameworks and the latest empirical research findings in the applications of blockchain technology. Covering topics such as big data analytics, financial market infrastructure, and sustainable performance, this book is an essential resource for managers, operations managers, executives, manufacturers, environmentalists, researchers, industry practitioners, students and educators of higher education, and academicians.

Handbook of Research on Essential Information Approaches to Aiding Global Health in the One Health Context

Lima de Magalhães, Jorge,Hartz, Zulmira,Jamil, George Leal,Silveira, Henrique,Jamil, Liliane C.
Handbook of Research on Essential Information Approaches to Aiding Global Health in the One Health Context Book PDF

Author : Lima de Magalhães, Jorge,Hartz, Zulmira,Jamil, George Leal,Silveira, Henrique,Jamil, Liliane C.
Publisher : IGI Global
Page : 390 pages
File Size : 45,9 Mb
Release : 2021-10-22
Category : Medical
ISBN : 9781799880127

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Handbook of Research on Essential Information Approaches to Aiding Global Health in the One Health Context by Lima de Magalhães, Jorge,Hartz, Zulmira,Jamil, George Leal,Silveira, Henrique,Jamil, Liliane C. Pdf

Post COVID-19 pandemic, researchers have been evaluating the healthcare system for improvements that can be made. Understanding global healthcare systems’ operations is essential to preventative measures to be taken for the next global health crisis. A key part to bettering healthcare is the implementation of information management and One Health. The Handbook of Research on Essential Information Approaches to Aiding Global Health in the One Health Context evaluates the concepts in global health and the application of essential information management in healthcare organizational strategic contexts. This text promotes understanding in how evaluation health and information management are decisive for health planning, management, and implementation of the One Health concept. Covering topics like development partnerships, global health, and the nature of pandemics, this text is essential for health administrators, policymakers, government officials, public health officials, information systems experts, data scientists, analysts, health information science and global health scholars, researchers, practitioners, doctors, students, and academicians.