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Painless Statistics (Barron's Painless)
by Patrick HonnerWhether you&’re a student or an adult looking to refresh your knowledge, Barron&’s Painless Statistics provides review and practice in an easy, step-by-step format.An essential resource for:Virtual learningHomeschoolLearning podsSupplementing classes/in-person learningInside you&’ll find:Clear examples for all topics, including data and distributions, basic probability, confidence intervals, bivariate statistics, and much moreDiagrams, charts, and instructive math illustrationsPainless tips, common pitfalls, and informative sidebarsMath talk boxes that translate complex &“math speak&” into easy-to-understand languageBrain Tickler quizzes throughout each chapter to test your progress
The Painlevé Handbook (Mathematical Physics Studies)
by Robert Conte Micheline MusetteThis book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.
Painlevé III: A Case Study in the Geometry of Meromorphic Connections (Lecture Notes in Mathematics #2198)
by Claus Hertling Martin A. GuestThe purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painlevé equations, and it offers new results on a particular Painlevé III equation of type PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections. This equation is equivalent to the radial sine (or sinh) Gordon equation and, as such, it appears widely in geometry and physics. It is used here as a very concrete and classical illustration of the modern theory of vector bundles with meromorphic connections. Complex multi-valued solutions on C* are the natural context for most of the monograph, but in the last four chapters real solutions on R>0 (with or without singularities) are addressed. These provide examples of variations of TERP structures, which are related to tt∗ geometry and harmonic bundles. As an application, a new global picture o0 is given.
Pair-Correlation Effects in Many-Body Systems: Towards a Complete Theoretical Description of Pair-Correlations in the Static and Kinetic Description of Many-Body Systems (Springer Theses)
by Kristian BlomThe laws of nature encompass the small, the large, the few, and the many. In this book, we are concerned with classical (i.e., not quantum) many-body systems, which refers to any microscopic or macroscopic system that contains a large number of interacting entities. The nearest-neighbor Ising model, originally developed in 1920 by Wilhelm Lenz, forms a cornerstone in our theoretical understanding of collective effects in classical many-body systems and is to date a paradigm in statistical physics. Despite its elegant and simplistic description, exact analytical results in dimensions equal and larger than two are difficult to obtain. Therefore, much work has been done to construct methods that allow for approximate, yet accurate, analytical solutions. One of these methods is the Bethe-Guggenheim approximation, originally developed independently by Hans Bethe and Edward Guggenheim in 1935. This approximation goes beyond the well-known mean field approximation and explicitly accounts for pair correlations between the spins in the Ising model. In this book, we embark on a journey to exploit the full capacity of the Bethe-Guggenheim approximation, in non-uniform and non-equilibrium settings. Throughout we unveil the non-trivial and a priori non-intuitive effects of pair correlations in the classical nearest-neighbor Ising model, which are taken into account in the Bethe-Guggenheim approximation and neglected in the mean field approximation.
Pairwise Comparisons Method: Theory and Applications in Decision Making (Lecture Notes in Economics and Mathematical Systems #690)
by Jaroslav RamíkThis book examines relationships between pairwise comparisons matrices. It first provides an overview of the latest theories of pairwise comparisons in decision making, discussing the pairwise comparison matrix, a fundamental tool for further investigation, as a deterministic matrix with given elements. Subsequent chapters then investigate these matrices under uncertainty, as a matrix with vague elements (fuzzy and/or intuitionistic fuzzy ones), and also as random elements. The second part of the book describes the application of the theoretical results in the three most popular multicriteria decision-making methods: the Analytic Hierarchy Process (AHP), PROMETHEE and TOPSIS. This book appeals to scholars in areas such as decision theory, operations research, optimization theory, algebra, interval analysis and fuzzy sets.
Pairwise Multiple Comparisons: Theory and Computation (SpringerBriefs in Statistics)
by Taka-aki Shiraishi Shin-ichi Matsuda Hiroshi SugiuraThis book focuses on all-pairwise multiple comparisons of means in multi-sample models, introducing closed testing procedures based on maximum absolute values of some two-sample t-test statistics and on F-test statistics in homoscedastic multi-sample models. It shows that (1) the multi-step procedures are more powerful than single-step procedures and the Ryan/Einot–Gabriel/Welsh tests, and (2) the confidence regions induced by the multi-step procedures are equivalent to simultaneous confidence intervals. Next, it describes the multi-step test procedure in heteroscedastic multi-sample models, which is superior to the single-step Games–Howell procedure. In the context of simple ordered restrictions of means, the authors also discuss closed testing procedures based on maximum values of two-sample one-sided t-test statistics and based on Bartholomew's statistics. Furthermore, the book presents distribution-free procedures and describes simulation studies performed under the null hypothesis and some alternative hypotheses. Although single-step multiple comparison procedures are generally used, the closed testing procedures described are more powerful than the single-step procedures. In order to execute the multiple comparison procedures, the upper 100α percentiles of the complicated distributions are required. Classical integral formulas such as Simpson's rule and the Gaussian rule have been used for the calculation of the integral transform that appears in statistical calculations. However, these formulas are not effective for the complicated distribution. As such, the authors introduce the sinc method, which is optimal in terms of accuracy and computational cost.
The Palgrave Centenary Companion To Principia Mathematica
by Nicholas Griffin Bernard LinskyTo mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.
The Palgrave Companion to Oxford Economics
by Robert A. CordThe University of Oxford has been and continues to be one of the most important global centres for economics. With six chapters on themes in Oxford economics and 24 chapters on the lives and work of Oxford economists, this volume shows how economics became established at the University, how it produced some of the world’s best-known economists, including Francis Ysidro Edgeworth, Roy Harrod and David Hendry, and how it remains a global force for the very best in teaching and research in economics. With original contributions from a stellar cast, this volume provides economists – especially those interested in macroeconomics and the history of economic thought – with the first in-depth analysis of Oxford economics.
The Palgrave Handbook of Economic Performance Analysis
by Thijs Ten Raa William H. GreeneThis Handbook takes an econometric approach to the foundations of economic performance analysis. The focus is on the measurement of efficiency, productivity, growth and performance. These concepts are commonly measured residually and difficult to quantify in practice. In real-life applications, efficiency and productivity estimates are often quite sensitive to the models used in the performance assessment and the methodological approaches adopted by the analysis. The Palgrave Handbook of Performance Analysis discusses the two basic techniques of performance measurement – deterministic benchmarking and stochastic benchmarking – in detail, and addresses the statistical techniques that connect them. All chapters include applications and explore topics ranging from the output/input ratio to productivity indexes and national statistics.
The Palgrave Handbook of Literature and Mathematics
by Nina Engelhardt Alice Jenkins Robert TubbsThis handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory.
The Palgrave Handbook of South–South Migration and Inequality
by Heaven Crawley Joseph Kofi TeyeThis open access handbook examines the phenomenon of South-South migration and its relationship to inequality in the Global South, where at least a third of all international migration takes place. Drawing on contributions from nearly 70 leading migration scholars, mainly from the Global South, the handbook challenges dominant conceptualisations of migration, offering new perspectives and insights that can inform theoretical and policy understandings and unlock migration’s development potential. The handbook is divided into four parts, each highlighting often overlooked mobility patterns within and between regions of the Global South, as well as the inequalities faced by those who move. Key cross-cutting themes include gender, race, poverty and income inequality, migration decision making, intermediaries, remittances, technology, climate change, food security and migration governance. The handbook is an indispensable resource on South-South migration and inequality for academics, researchers, postgraduates and development practitioners.
The Palgrave Handbook of Survey Research
by David L. Vannette Jon A. KrosnickThis handbook is a comprehensive reference guide for researchers, funding agencies and organizations engaged in survey research. Drawing on research from a world-class team of experts, this collection addresses the challenges facing survey-based data collection today as well as the potential opportunities presented by new approaches to survey research, including in the development of policy. It examines innovations in survey methodology and how survey scholars and practitioners should think about survey data in the context of the explosion of new digital sources of data. The Handbook is divided into four key sections: the challenges faced in conventional survey research; opportunities to expand data collection; methods of linking survey data with external sources; and, improving research transparency and data dissemination, with a focus on data curation, evaluating the usability of survey project websites, and the credibility of survey-based social science. Chapter 23 of this book is open access under a CC BY 4. 0 license at link. springer. com.
The Palgrave International Handbook of Mixed Racial and Ethnic Classification
by Peter J. Aspinall Zarine L. RochaThis handbook provides a global study of the classification of mixed race and ethnicity at the state level, bringing together a diverse range of country case studies from around the world. The classification of race and ethnicity by the state is a common way to organize and make sense of populations in many countries, from the national census and birth and death records, to identity cards and household surveys. As populations have grown, diversified, and become increasingly transnational and mobile, single and mutually exclusive categories struggle to adequately capture the complexity of identities and heritages in multicultural societies. State motivations for classification vary widely, and have shifted over time, ranging from subjugation and exclusion to remediation and addressing inequalities. The chapters in this handbook illustrate how differing histories and contemporary realities have led states to count and classify mixedness in different ways, for different reasons. This collection will serve as a key reference point on the international classification of mixed race and ethnicity for students and scholars across sociology, ethnic and racial studies, and public policy, as well as policy makers and practitioners.
Pan-African Conference on Artificial Intelligence: Second Conference, PanAfriCon AI 2023, Addis Ababa, Ethiopia, October 5–6, 2023, Revised Selected Papers, Part I (Communications in Computer and Information Science #2068)
by Taye Girma Debelee Achim Ibenthal Friedhelm Schwenker Yehualashet Megersa AyanoThis two-volume set, CCIS 2068 and 2069, constitutes selected papers presented during the Second Pan-African Conference on Artificial Intelligence, PanAfriCon AI 2023, held in Addis Ababa, Ethiopia, in October 2023. The set goal of the conference is to exchange the best practices of joint Pan-African efforts to provide solutions for Africa’s key 21st century challenges in the social, economic and ecologic domains. The 29 papers were thoroughly reviewed and selected from 134 submissions. The papers are organized in the following topical sections: Medical AI; Natural Language Processing, Text and Speech Processing; AI in Finance and Cyber Security; Autonomous Vehicles; AI Ethics and Life Sciences.
Pan-African Conference on Artificial Intelligence: Second Conference, PanAfriCon AI 2023, Addis Ababa, Ethiopia, October 5–6, 2023, Revised Selected Papers, Part II (Communications in Computer and Information Science #2069)
by Taye Girma Debelee Achim Ibenthal Friedhelm Schwenker Yehualashet Megersa AyanoThis two-volume set, CCIS 2068 and 2069, constitutes selected papers presented during the Second Pan-African Conference on Artificial Intelligence, PanAfriCon AI 2023, held in Addis Ababa, Ethiopia, in October 2023. The set goal of the conference is to exchange the best practices of joint Pan-African efforts to provide solutions for Africa’s key 21st century challenges in the social, economic and ecologic domains. The 29 papers were thoroughly reviewed and selected from 134 submissions. The papers are organized in the following topical sections: Medical AI; Natural Language Processing, Text and Speech Processing; AI in Finance and Cyber Security; Autonomous Vehicles; AI Ethics and Life Sciences.
Pancyclic and Bipancyclic Graphs
by John C. George Abdollah Khodkar W. D. WallisThisbook is focused on pancyclic and bipancyclic graphs and is geared toward researchersand graduate students in graph theory. Readers should be familiar with thebasic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclicgraphs contain cycles of all possible lengths from three up to the number ofvertices in the graph. Bipartite graphs contain only cycles of even lengths, abipancyclic graph is defined to be a bipartite graph with cycles of every evensize from 4 vertices up to the number of vertices in the graph. Cutting edgeresearch and fundamental results on pancyclic and bipartite graphs from a widerange of journal articles and conference proceedings are composed in this bookto create a standalone presentation. Thefollowing questions are highlighted through the book: - What is the smallest possible number of edges in apancyclic graph with v vertices? - When do pancyclic graphs exist with exactly onecycle of every possible length? - What is the smallest possible number of edges in abipartite graph with v vertices? - When do bipartite graphs exist with exactly one cycle of every possiblelength?
Pandemics: Insurance and Social Protection (Springer Actuarial)
by María del Carmen Boado-Penas Julia Eisenberg Şule ŞahinThis open access book collects expert contributions on actuarial modelling and related topics, from machine learning to legal aspects, and reflects on possible insurance designs during an epidemic/pandemic.Starting by considering the impulse given by COVID-19 to the insurance industry and to actuarial research, the text covers compartment models, mortality changes during a pandemic, risk-sharing in the presence of low probability events, group testing, compositional data analysis for detecting data inconsistencies, behaviouristic aspects in fighting a pandemic, and insurers’ legal problems, amongst others.Concluding with an essay by a practicing actuary on the applicability of the methods proposed, this interdisciplinary book is aimed at actuaries as well as readers with a background in mathematics, economics, statistics, finance, epidemiology, or sociology.
Panel Data Analysis using EViews
by I Gusti AgungA comprehensive and accessible guide to panel data analysis using EViews softwareThis book explores the use of EViews software in creating panel data analysis using appropriate empirical models and real datasets. Guidance is given on developing alternative descriptive statistical summaries for evaluation and providing policy analysis based on pool panel data. Various alternative models based on panel data are explored, including univariate general linear models, fixed effect models and causal models, and guidance on the advantages and disadvantages of each one is given.Panel Data Analysis using EViews:Provides step-by-step guidance on how to apply EViews software to panel data analysis using appropriate empirical models and real datasets. Examines a variety of panel data models along with the author's own empirical findings, demonstrating the advantages and limitations of each model.Presents growth models, time-related effects models, and polynomial models, in addition to the models which are commonly applied for panel data.Includes more than 250 examples divided into three groups of models (stacked, unstacked, and structured panel data), together with notes and comments.Provides guidance on which models not to use in a given scenario, along with advice on viable alternatives.Explores recent new developments in panel data analysisAn essential tool for advanced undergraduate or graduate students and applied researchers in finance, econometrics and population studies. Statisticians and data analysts involved with data collected over long time periods will also find this book a useful resource.
Panel Data Econometrics: Common Factor Analysis for Empirical Researchers
by Donggyu SulIn the last 20 years, econometric theory on panel data has developed rapidly, particularly for analyzing common behaviors among individuals over time. Meanwhile, the statistical methods employed by applied researchers have not kept up-to-date. This book attempts to fill in this gap by teaching researchers how to use the latest panel estimation methods correctly. Almost all applied economics articles use panel data or panel regressions. However, many empirical results from typical panel data analyses are not correctly executed. This book aims to help applied researchers to run panel regressions correctly and avoid common mistakes. The book explains how to model cross-sectional dependence, how to estimate a few key common variables, and how to identify them. It also provides guidance on how to separate out the long-run relationship and common dynamic and idiosyncratic dynamic relationships from a set of panel data. Aimed at applied researchers who want to learn about panel data econometrics by running statistical software, this book provides clear guidance and is supported by a full range of online teaching and learning materials. It includes practice sections on MATLAB, STATA, and GAUSS throughout, along with short and simple econometric theories on basic panel regressions for those who are unfamiliar with econometric theory on traditional panel regressions.
Panel Data Econometrics with R
by Giovanni Millo Yves CroissantPanel Data Econometrics with R provides a tutorial for using R in the field of panel data econometrics. Illustrated throughout with examples in econometrics, political science, agriculture and epidemiology, this book presents classic methodology and applications as well as more advanced topics and recent developments in this field including error component models, spatial panels and dynamic models. They have developed the software programming in R and host replicable material on the book’s accompanying website.
The Panenmentalist Philosophy of Science: From the Recognition of Individual Pure Possibilities to Actual Discoveries (Synthese Library #424)
by Amihud GileadThis book presents a philosophy of science, based on panenmentalism: an original modal metaphysics, which is realist about individual pure (non-actual) possibilities and rejects the notion of possible worlds. The book systematically constructs a new and novel way of understanding and explaining scientific progress, discoveries, and creativity. It demonstrates that a metaphysics of individual pure possibilities is indispensable for explaining and understanding mathematics and natural sciences. It examines the nature of individual pure possibilities, actualities, mind-dependent and mind-independent possibilities, as well as mathematical entities. It discusses in detail the singularity of each human being as a psychical possibility. It analyses striking scientific discoveries, and illustrates by means of examples of the usefulness and vitality of individual pure possibilities in the sciences.
The Pangenome: Diversity, Dynamics and Evolution of Genomes
by Hervé Tettelin Duccio MediniThis open access book offers the first comprehensive account of the pan-genome concept and its manifold implications. The realization that the genetic repertoire of a biological species always encompasses more than the genome of each individual is one of the earliest examples of big data in biology that opened biology to the unbounded. The study of genetic variation observed within a species challenges existing views and has profound consequences for our understanding of the fundamental mechanisms underpinning bacterial biology and evolution. The underlying rationale extends well beyond the initial prokaryotic focus to all kingdoms of life and evolves into similar concepts for metagenomes, phenomes and epigenomes. The book’s respective chapters address a range of topics, from the serendipitous emergence of the pan-genome concept and its impacts on the fields of microbiology, vaccinology and antimicrobial resistance, to the study of microbial communities, bioinformatic applications and mathematical models that tie in with complex systems and economic theory. Given its scope, the book will appeal to a broad readership interested in population dynamics, evolutionary biology and genomics.
A Panorama of Discrepancy Theory (Lecture Notes in Mathematics #2107)
by Giancarlo Travaglini William Chen Anand SrivastavThis is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.
A Panorama of Statistics: Perspectives, Puzzles and Paradoxes in Statistics
by Eric Sowey Peter PetoczThis book is a stimulating panoramic tour – quite different from a textbook journey – of the world of statistics in both its theory and practice, for teachers, students and practitioners.At each stop on the tour, the authors investigate unusual and quirky aspects of statistics, highlighting historical, biographical and philosophical dimensions of this field of knowledge. Each chapter opens with perspectives on its theme, often from several points of view. Five original and thought-provoking questions follow. These aim at widening readers’ knowledge and deepening their insight. Scattered among the questions are entertaining puzzles to solve and tantalising paradoxes to explain. Readers can compare their own statistical discoveries with the authors’ detailed answers to all the questions. The writing is lively and inviting, the ideas are rewarding, and the material is extensively cross-referenced. A Panorama of Statistics: Leads readers to discover the fascinations of statistics. Is an enjoyable companion to an undergraduate statistics textbook. Is an enriching source of knowledge for statistics teachers and practitioners. Is unique among statistics books today for its memorable content and engaging style. Lending itself equally to reading through and to dipping into, A Panorama of Statistics will surprise teachers, students and practitioners by the variety of ways in which statistics can capture and hold their interest.Reviews:"As befits the authors' statement that 'this is not a textbook', the structure is unusual. There are twenty-five chapters organised in five sections, each beginning with a brief perspective of a theme in statistics and finishing with five questions related to that theme. The answers provided to the questions, in section six, are as discursive and illuminating as the main body of the text. Even if you are pretty sure you know the answer, it is always worth checking what the authors have to say. Chances are that you will learn something every time. The glimpses and insights given into this enormous and far-reaching discipline succeed in being bewitching, entertaining and inviting; coverage was never the aim." "In summary, this splendid book lives up to the four 'p-values' of its title. It is panoramic in the scope of its survey of statistics, it is full of illuminating perspectives, it sets entertaining and challenging puzzles, and it explores fascinating paradoxes. Read it, enjoy it and learn from it."From Neil Sheldon, Teaching Statistics, volume 9, no. 2, May 2017
Pappus of Alexandria: Book 4 of the Collection
by Heike Sefrin-WeisAlthough not so well known today, Book 4 of Pappus' Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems - for example, squaring the circle; doubling the cube; and trisecting an angle - varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch's standard edition, notes to facilitate understanding of the steps in the mathematical argument, a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work, bibliographical references for further study.