This book presents in-depth research on positive parameters of hierarchical models under Steins loss function and proposes a novel empirical Bayesian estimation method. By integrating Steins loss function with empirical Bayesian estimation, the book tackles key challenges in estimating positive parameters that traditional methods struggle to address. It provides numerical simulations for each hierarchical model from at least four perspectives and analyzes extensive real-world data to empirically validate the effectiveness of the proposed method. The findings demonstrate that the MLE method outperforms the moment method in terms of consistency, goodness-of-fit, Bayes estimators, and PESLs.The book is intended for graduate students, teachers, and researchers in statistics, particularly those interested in empirical Bayes analysis, positive parameters, hierarchical models and mixture distributions, Steins loss function, and other loss functions.

Zika, grippe A/H1N1, chikungunya, SRAS, Ébola... Nous sommes frappés de plein fouet par lémergence ou la réémergence de nombreuses maladies infectieuses. Comment expliquer ce phénomène ? Notre mode d

This textbook covers key topics in abstract algebra, including groups, rings, modules, and fields, as well as the linear representations of finite groups, Hopf algebras, Lie algebras, and category theory. It offers essential algebraic foundations for graduate students in mathematics and physics, and is enriched with numerous examples to facilitate understanding. It is intended for readers with a background in linear algebra.

La simulation numérique est devenue une méthode incontournable de résolution d’équations aux dérivées partielles (EDP). Son implémentation pratique passe par des schémas numériques, qui remplacent l’

This book presents recent advances on the global existence and decay estimates of solutions to two important classes of damped wave equations, with particular emphasis on the double dispersion equation and related models. Building on the authors work with collaborators, the volume brings together results previously scattered across research papers, alongside new material published here for the first time. It offers a unified perspective on the long-standing problem of global existence and the asymptotic behavior of dissipative hyperbolic equations, including convergence toward equilibrium and optimal decay properties. The book is organized into eight chapters. The opening chapter reviews essential tools from Fourier analysis, Sobolev spaces, and fundamental inequalities. Subsequent chapters investigate the asymptotic profiles, decay rates, and pointwise behavior of solutions to regularity-gained double dispersion equations, followed by a systematic study of regularity-loss wave equations. Techniques such as time-weighted energy methods and refined asymptotic analysis are developed to address weak dissipation and nonlinear effects, establishing global existence and precise decay estimates under suitable initial conditions and spatial dimensions. Combining rigorous theory with clear structure, this book highlights both foundational methods and recent progress in nonlinear partial differential equations. It is intended for graduate students, researchers, and specialists interested in nonlinear wave phenomena, dissipative systems, and modern analytical techniques in PDEs.

This book provides essential knowledge and insight into numerical analysis, with an emphasis on developing understanding rather than simply presenting computational recipes. It approaches numerical analysis not only as practical tool for solving applied problems, but also as a rich, challenging and rewarding branch of mathematics. Developed over more than a decade from the authors lecture notes for the undergraduate course Numerical Analysis taught to international students at Nanjing University of Aeronautics and Astronautics (NUAA) since 2005, this textbook is dedicated to readers with a solid foundation in differential and integral calculus and linear algebra. Equally important, it encourages readers to appreciate how these fundamental tools come to life in solving real-world problems. Written in a clear and self-contained style, the book is designed to be accessible not only to mathematicians, but also to scientists and engineers. It serves as textbook for undergraduate students, while also offering a useful reference for researchers and professionals in engineering and applied sciences.

Il y a quatre milliards d’années, au cœur d’un océan primitif, une molécule se mit à vibrer... et la vie fit son apparition. Des cellules primitives aux créatures de l’Édiacarien, des dinosaures aux

Cet ouvrage, à destination des étudiants en Licence 2 et 3 de mathématiques ainsi qu’aux candidats aux concours de l’enseignement, reprend tous les points classiques d’un cours de Licence sur les équ

Vamk Volkan examines the impact of past and present historical events, cultural elements, political movements and their mental images on the psyche of individuals. Beginning with the history of the debates concerning the relevance of external events to the human psyche, Volkan moves on to look at the spread of psychoanalysis worldwide and the need to become familiar with the cultural, historical, and political issues when working abroad. The remaining chapters follow the story of a successful businessman who calls himself a Muslim Armenian. His psychological journey clearly illustrates how ghosts from the past can remain alive and active in our lives, and how a clear understanding of his peoples history and culture allowed the analyst to understand some important causes of his symptoms and personality characteristics.By presenting a total case report, Volkan illustrates the methods applied to improve the analysands psychological health. By presenting a case from the viewpoint of a psychoanalytic supervisor, including the supervisors reactions to the individual being analysed, he has exposed another rich topic to consideration. With this book, Vamk Volkan has given us much to reflect upon.

In "A List of Factorial Math Constants," the author meticulously compiles an extensive array of factorial constants, offering readers not only a reference but also a profound exploration of their mathematical significance. The book navigates through both elementary and advanced factorial concepts, articulating the principles with clarity and precision. Additionally, it employs a systematic structure that enhances accessibility for varying levels of mathematical proficiency, making it a pertinent resource within academic and pedagogical contexts, particularly in combinatorics and number theory. The identity of the author remains a mystery, yet their expertise in mathematical theory is evident through the comprehensive nature of this compilation. The book reflects a dedication to demystifying complex mathematical concepts, possibly rooted in personal experiences with educational shortcomings in factorial mathematics. This endeavor suggests a genuine passion for mathematics and a desire to enrich the understanding of it among students, educators, and enthusiasts alike. This book is a vital asset for mathematicians, educators, and students eager to deepen their understanding of factorial constants. Its blend of clarity, organization, and depth ensures that readers will not only reference it as needed but also appreciate its contributions to their comprehension of foundational mathematical principles.

L’ouvrage est un outil clair destiné à un public varié possédant des connaissances de base de biochimie générale. Il fait le lien vers les matériaux d’origine biologique, les technologies de transfor

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.

DOSSIER : LEXCELLENCE FRANÇAISE. DE LA CHUTE AU SURSAUT ?→ Entretien avec Hervé Gaymard - « Nous naimons pas assez notre industrie et notre recherche »Hervé Gaymard analyse les points forts qui ont a

Beginners belongs on the list of books that have changed the way I understand my own limitations.Malcolm GladwellFor many of us, the last time we learned a new skill was during childhood. We live in an age which reveres expertise but looks down on the beginner. Upon entering adulthood and middle age, we begin to shy away from trying new things, instead preferring to stay nestled firmly in our comfort zones. Beginners asks the question: why are children the only ones allowed to experience the inherent fun of facing daily challenges? And could we benefit from embracing new skills, even if were initially hopeless? Bestselling author Tom Vanderbilt sets out to find the answer, tasking himself with acquiring several new skills under the tutelage of professionals, including drawing, juggling, surfing and much more. Witty and often surprisingly profound, Beginners is an uplifting exploration of the science of brain plasticity and how we can learn how to learn anew.

Nous avons vu, dans les cirques, les équilibristes faire tourner au bout d’un bâton pointu des assiettes, saladiers et autres ustensiles do ménage ; la plupart du temps ces objets sont en bois ou en

En trois coups de canif, transformer une carte de visite en une chemise d’homme, empesée et repassée.Faites une petite entaille en A, milieu d’un des petits côtés de la carte de visite. Au point B, s

Cet ouvrage dresse un panorama général et cohérent des méthodes statistiques permettant de réaliser les différentes étapes d’une enquête par sondage. Le fil conducteur est l’utilisation de l’informa

A Educação Financeira é de fundamental importância para que o cidadão possa lidar com suas finanças de maneira mais consciente. A Organização para a Cooperação e Desenvolvimento Econômico (OCDE) (200

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics.Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems.Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Cet ouvrage est une réédition numérique d’un livre paru au XXe siècle, désormais indisponible dans son format d’origine.