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Missing Data Analysis in Practice (Chapman & Hall/CRC Interdisciplinary Statistics)
by Trivellore RaghunathanMissing Data Analysis in Practice provides practical methods for analyzing missing data along with the heuristic reasoning for understanding the theoretical underpinnings. Drawing on his 25 years of experience researching, teaching, and consulting in quantitative areas, the author presents both frequentist and Bayesian perspectives. He describes ea
Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Michael J. Daniels Joseph W. HoganDrawing from the authors' own work and from the most recent developments in the field, Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis describes a comprehensive Bayesian approach for drawing inference from incomplete data in longitudinal studies. To illustrate these methods, the authors employ
Missing Mittens (MathStart, Odd and Even Numbers)
by Stuart J. MurphyMISSING MITTENS. Every animal on Farmer Bill's farm is missing one mitten. Readers can investigate odd and even numbers as they unravel this mitten mystery!
Missing and Modified Data in Nonparametric Estimation: With R Examples (Chapman & Hall/CRC Monographs on Statistics and Applied Probability)
by Sam EfromovichThis book presents a systematic and unified approach for modern nonparametric treatment of missing and modified data via examples of density and hazard rate estimation, nonparametric regression, filtering signals, and time series analysis. All basic types of missing at random and not at random, biasing, truncation, censoring, and measurement errors are discussed, and their treatment is explained. Ten chapters of the book cover basic cases of direct data, biased data, nondestructive and destructive missing, survival data modified by truncation and censoring, missing survival data, stationary and nonstationary time series and processes, and ill-posed modifications. <P><P> The coverage is suitable for self-study or a one-semester course for graduate students with a prerequisite of a standard course in introductory probability. Exercises of various levels of difficulty will be helpful for the instructor and self-study. <P><P> The book is primarily about practically important small samples. It explains when consistent estimation is possible, and why in some cases missing data should be ignored and why others must be considered. If missing or data modification makes consistent estimation impossible, then the author explains what type of action is needed to restore the lost information. <P><P> The book contains more than a hundred figures with simulated data that explain virtually every setting, claim, and development. The companion R software package allows the reader to verify, reproduce and modify every simulation and used estimators. This makes the material fully transparent and allows one to study it interactively. <P><P> Sam Efromovich is the Endowed Professor of Mathematical Sciences and the Head of the Actuarial Program at the University of Texas at Dallas. He is well known for his work on the theory and application of nonparametric curve estimation and is the author of Nonparametric Curve Estimation: Methods, Theory, and Applications. Professor Sam Efromovich is a Fellow of the Institute of Mathematical Statistics and the American Statistical Association.
Mission - Addition
by Loreen LeedyMiss Prime and her animal students explore addition by finding many examples in the world around them.
Misteaks. . . and how to find them before the teacher does. . .: A Calculus Supplement, 3rd Edition
by Barry CipraAn unusual supplement to every calculus textbook, Misteaks and How to Find Them before the Teacher Does is popular with students and teachers alike. Teachers love the way it encourages students to truly think about mathematics rather than simply plugging numbers into equations to crank out answers, and students love the author's straightforward, tongue-in-cheek style. The title of this light-hearted and amusing book might well have been "Going Gray in Elementary Calculus and How to Avoid it." Changing the metaphor, Barry has hit the nail on the finger in hundreds of fine examples. --Philip J. Davis, coauthor of The Mathematical Experience. "How I wish that something like this had been available when I was a student!" --Ralph P. Boas, former editor of The American Mathematical Monthly. Bonus: Solution to LeWitt Puzzle
Mistrusting Refugees
by E. Valentine Daniel John Chr. KnudsenThe twentieth century has seen people displaced on an unprecedented scale and has brought concerns about refugees into sharp focus. There are forty million refugees in the world—1 in 130 inhabitants of this planet. In this first interdisciplinary study of the issue, fifteen scholars from diverse fields focus on the worldwide disruption of "trust" as a sentiment, a concept, and an experience.Contributors provide a rich array of essays that maintain a delicate balance between providing specific details of the refugee experience and exploring corresponding theories of trust and mistrust. Their subjects range widely across the globe, and include Palestinians, Cambodians, Tamils, and Mayan Indians of Guatemala. By examining what individuals experience when removed from their own culture, these essays reflect on individual identity and culture as a whole.
Misused Statistics
by Herbert Spirer Louise Spirer"Revised and updated edition of a standard in the field. Alerts readers to the problems, inherent in statistical practice-illustrating the types of misused statistics with well-documented, real-world examples, nearly half new to this edition, drawn from a wide range of areas, including the media, public policy, polls and surveys, political election
Mit Funktionen Zusammenhänge und Veränderungen beschreiben (Mathematik Primarstufe und Sekundarstufe I + II)
by Berthold Schuppar Hans HumenbergerIn diesem Buch soll gezeigt werden, was Funktionen in der Mathematik und in Anwendungssituationen leisten können bzw. sollen. Funktionen haben bekanntlich viele Gesichter, und das Thema ist im schulischen Mathematikunterricht und auch in den Lehramtsstudiengängen prominent vertreten. Da ist es natürlich besonders wichtig, dass Studierende einen angemessenen Zugang zu diesem Thema bekommen, sodass sie einen solchen auch an ihre zukünftigen Schüler/innen weitergeben können. Im Buch werden viele praktische und fachwissenschaftliche Aspekte angesprochen und miteinander vernetzt (z. B. zur Geometrie und zur Stochastik), die u. E. zu einem tragfähigen Gesamtbild von „Elementaren Funktionen“ führen, wobei sich an manchen Stellen auch fachdidaktische Betrachtungen finden. Dabei sollen weder Realitätsbezüge noch innermathematische Zusammenhänge und Begründungen zu kurz kommen. Dem nicht ganz leichten Ziel, Verständlichkeit und mathematische Exaktheit miteinander zu verbinden, wollen wir mit diesem Buch ein Stück näher kommen. Zahlreiche Aufgaben (teilweise mit Lösungshinweisen) runden jedes Kapitel ab und sollen Leser/innen zum Üben, Verstehen und Weiterdenken anregen.
Mit Heterogenität im Mathematikunterricht umgehen lernen
by Susanne Prediger Juliane Leuders Timo Leuders Silke RuwischIn diesem Band werden konkrete Konzepte für die Lehreraus- und -weiterbildung diskutiert, in denen Mathematik-Lehrkräfte gezielt beim Unterrichten in heterogenen und insbesondere inklusiven Klassen unterstützt werden. Auf methodischer Ebene steht die Frage im Vordergrund, wie Praxisaspekte in Lehrveranstaltungen und Fortbildungen einbezogen werden können, inhaltlich entsteht ein Spektrum von verschiedenen Themen im Kontext von Heterogenität, wie z.B. Diagnose und Förderung, Differenzierung, Begabung, Sprache und Inklusion.Die zunehmende Heterogenität der Schülerinnen und Schüler stellt für Lehrkräfte eine Herausforderung dar, auf die die Lehrerbildung vorbereiten muss. Besondere Anforderungen ergeben sich in allen Schulformen durch die erhöhte Leistungsheterogenität und durch die Inklusion von Lernenden mit Behinderungen. Der Umgang mit einer Leistungsspanne, die von Lernschwierigkeiten bis hin zu mathematischer Begabung reicht, erfordert hohe fachdidaktische Kompetenzen.
Mittag-Leffler Functions, Related Topics and Applications
by Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei V. RogosinAs a result of researchers' and scientists' increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.
Mittag-Leffler Functions, Related Topics and Applications (Springer Monographs in Mathematics)
by Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei RogosinThe 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there.As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have caught the interest of the scientific community. Focusing on the theory of Mittag-Leffler functions, this volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular, the Mittag-Leffler functions make it possible to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and related special functions.The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, control theory and several other related areas.
Mittelschicht unter Druck: Dynamiken in der österreichischen Mitte
by Roland Verwiebe Laura WiesböckIn Europa schrumpft die Mittelschicht, was für eine Reihe von EU-Mitgliedsländern bislang kaum untersucht wurde. Dies trifft auch auf Österreich zu, welches sich durch Umbau der Sozialpolitik, Flexibilisierung des Arbeitsmarktes, Zuwanderung und einem Aufstieg rechter politischer Parteien in einem starken Umbruchprozess befindet. Dies ist der Hintergrund für eine in diesem Sammelband erstmalig vorgenommene Analyse des Schrumpfens der österreichischen Mittelschicht. Der Band ist multidisziplinär angelegt (Autor*innen aus Soziologie, Ökonomie, Politikwissenschaft, Zeitgeschichte), und versammelt theoretisch orientierte und empirische Beiträge etablierter Autor*innen wie auch Nachwuchswissenschaftler*innen.
Mixed Boundary Problems in Solid Mechanics (UNITEXT #155)
by Natalya Vaysfeld Zinaida ZhuravlovaThe book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies. The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.
Mixed Boundary Value Problems
by Dean G. DuffyMethods for Solving Mixed Boundary Value ProblemsAn up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat
Mixed Effects Models and Extensions in Ecology with R
by Neil Walker Elena N. Ieno Graham M. Smith Anatoly A. Saveliev Alain ZuurThis book discusses advanced statistical methods that can be used to analyse ecological data. Most environmental collected data are measured repeatedly over time, or space and this requires the use of GLMM or GAMM methods. The book starts by revising regression, additive modelling, GAM and GLM, and then discusses dealing with spatial or temporal dependencies and nested data.
Mixed Effects Models for Complex Data
by Lang WuAlthough standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to address dropouts, missing data, measurement errors,
Mixed Effects Models for the Population Approach: Models, Tasks, Methods and Tools (Chapman & Hall/CRC Biostatistics Series)
by Marc LavielleWide-Ranging Coverage of Parametric Modeling in Linear and Nonlinear Mixed Effects ModelsMixed Effects Models for the Population Approach: Models, Tasks, Methods and Tools presents a rigorous framework for describing, implementing, and using mixed effects models. With these models, readers can perform parameter estimation and modeling across a whol
Mixed Finite Element Methods and Applications
by Franco Brezzi Daniele Boffi Michel FortinNon-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.
Mixed Heritage in the Family: Racial Identity, Spousal Choice, and Childrearing
by Miri Song Carolyn LieblerAs interracial unions and multiracial people become more common in the United States, mixed-heritage people have come to be regarded by some as a bellwether of race relations in the country. Is the growth of this population a sign that we are now in a post-racial era and our racial identities no longer impact our daily lives? In Mixed Heritage in the Family,sociologists Carolyn A. Liebler and Miri Song explore how racially mixed people navigate racial boundaries as they choose spouses and raise families. Liebler and Song break new ground by being the first to combine and integrate the study of three aspects of life for people of mixed racial heritage – identity, spouse choice, and childrearing. This integrated approach reveals how complicated racial identification can be, and how it can be expressed in one’s choice of partner or in how one raises their children. The authors draw on census data and interviews with Asian-White, Black-White, and American Indian/Alaska Native-White mixed people to better understand how their identity choices are related to their choice of spouse and how they racially identify and raise their children. Increasingly, mixed people in the United States are identifying with multiple races. However, the authors find that mixed-race people are not a monolith and that how and why they identify varies considerably between and within each group. They found several common factors that influenced whether mixed-race people choose to identify as biracial, solely White, or solely as a racial minority. These factors include the history of the specific minority race in the U.S., the racial demographics of where they were raised, their social and cultural exposure to their White and non-White backgrounds, their attachment to their racial backgrounds, and how they are seen racially by others. The way mixed-heritage people identify was closely tied to the race of their spouse. However, having a White spouse did not necessarily mean the mixed-race person felt disconnected from their non-White heritage. White spouses varied in their racial consciousness and their interest in the culture of their mixed-race spouse’s minority ancestry. The spouse’s race, and the nature of racial overlap between the spouses, was also key in the racial upbringing of a mixed-heritage person’s child. In families where the parents share a minority racial heritage, couples lean into their shared ‘family race’, which guides their parenting choices and family life. Many mixed heritage parents found it important to foster racial pride in their children and combat negative racial stereotypes. Liebler and Song caution against making superficial predictions about the state of race relations in the U.S. based on an increase in the multiracial population. They show that race has not become less salient in the lives of many mixed-race people—American society is not post-racial. Mixed Heritage in the Family breaks new ground, provides compelling insights in its examination of the lives of mixed-race people, and shows how complicated racial identification can be.
Mixed Lubrication in Hydrodynamic Bearings
by Dominique Bonneau Aurelian Fatu Dominique SouchetThis Series provides the necessary elements to the development and validation of numerical prediction models for hydrodynamic bearings. This book is dedicated to the mixed lubrication.
Mixed Models
by Eugene DemidenkoPraise for the First Edition "This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one's personal library."--Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R.The new edition provides in-depth mathematical coverage of mixed models' statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing.Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as:Comprehensive theoretical discussions illustrated by examples and figuresOver 300 exercises, end-of-section problems, updated data sets, and R subroutinesProblems and extended projects requiring simulations in R intended to reinforce materialSummaries of major results and general points of discussion at the end of each chapterOpen problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertationsIdeal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.
Mixed Poisson Processes
by J GrandellTo date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.
Mixed Twistor D-modules
by Takuro MochizukiWe introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular.