Listing 1 - 10 of 1097 | << page >> |
Sort by
|
Choose an application
Stein's startling technique for deriving probability approximations first appeared about 30 years ago. Since then, much has been done to refine and develop the method, but it is still a highly active field of research, with many outstanding problems, both theoretical and in applications. This volume, the proceedings of a workshop held in honour of Charles Stein in Singapore, August 2003, contains contributions from many of the mathematicians at the forefront of this effort. It provides a cross-section of the work currently being undertaken, with many pointers to future directions. The papers i
Distribution (Probability theory) --- Approximation theory --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities
Choose an application
This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of research spanning these fields, Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Gröbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions and resolutions and some of the combinatorics related to monomial ideals including the Kruskal—Katona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing a valuable overview of some of the central trends in algebraic combinatorics. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text. Self-contained and concise, this book will appeal to a wide range of readers, including PhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowledge of commutative algebra. Since their first meeting in 1985, Juergen Herzog (Universität Duisburg-Essen, Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in this monograph.
Algebra. --- Mathematics. --- Commutative algebra --- Combinatorial analysis --- Grèobner bases --- Characteristic functions --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Commutative algebra. --- Commutative rings. --- Commutative Rings and Algebras. --- Mathematical analysis --- Characteristic functions. --- Combinatorial analysis. --- Gröbner bases. --- Rings (Algebra)
Choose an application
Hilbert functions play major parts in Algebraic Geometry and Commutative Algebra, and are also becoming increasingly important in Computational Algebra. They capture many useful numerical characters associated to a projective variety or to a filtered module over a local ring. Starting from the pioneering work of D.G. Northcott and J. Sally, we aim to gather together in one book a broad range of new developments in this theory by using a unifying approach which yields self-contained and easier proofs. The extension of the theory to the case of general filtrations on a module, and its application to the study of certain graded algebras which are not associated to a filtration are two of the main features of this work. The material is intended for graduate students and researchers who are interested in Commutative Algebra, particularly in the theory of the Hilbert functions and related topics.
Characteristic functions. --- Distribution (Probability theory). --- Filtered modules. --- Filtered modules --- Characteristic functions --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Mathematics. --- Algebra. --- Algebraic geometry. --- Commutative algebra. --- Commutative rings. --- Commutative Rings and Algebras. --- Algebraic Geometry. --- Rings (Algebra) --- Algebraic geometry --- Geometry --- Mathematical analysis --- Math --- Science --- Modules (Algebra) --- Probabilities --- Geometry, algebraic.
Choose an application
The notions of transfer function and characteristic functions proved to be fundamental in the last fifty years in operator theory and in system theory. Moshe Livsic played a central role in developing these notions, and the book contains a selection of carefully chosen refereed papers dedicated to his memory. Topics include classical operator theory, ergodic theory and stochastic processes, geometry of smooth mappings, mathematical physics, Schur analysis and system theory. The variety of topics attests well to the breadth of Moshe Livsic's mathematical vision and the deep impact of his work.
Characteristic functions. --- Light -- Scattering. --- Scattering (Physics). --- Transfer functions. --- Mathematics --- Calculus --- Mathematical Statistics --- Physical Sciences & Mathematics --- Characteristic functions --- Scattering (Mathematics) --- Transfer functions --- Operator theory --- Ergodic theory --- Functions, Transfer --- Scattering theory (Mathematics) --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Mathematics. --- Operator theory. --- Operator Theory. --- Probabilities --- Automatic control --- Control theory --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Functional analysis
Choose an application
In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteristic and correlation functions easily accessible to both students and researchers in a comprehensive manner. The first chapter presents basic results and should be read carefully since it is essential for the understanding of the subsequent chapters. The second chapter is devoted to correlation functions, their applications to stationary processes and some connections to harmonic analysis. In Chapter 3 we deal with several special properties, Chapter 4 is devoted to the extension problem while Chapter 5 contains a few applications. A relatively large appendix comprises topics like infinite products, functional equations, special functions or compact operators.
Characteristic functions. --- Correlation (Statistics) --- Variables (Mathematics) --- Multivariate analysis. --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Mathematical statistics --- Matrices --- Mathematical constants --- Mathematics --- Least squares --- Probabilities --- Regression analysis --- Statistics --- Instrumental variables (Statistics) --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Graphic methods --- Characteristic Functions. --- Fourier Transform. --- Moment Problem. --- Probability Distribution.
Choose an application
The Gibbs measure is a probability measure, which has been an important object in many problems of probability theory and statistical mechanics. It is the measure associated with the Hamiltonian of a physical system (a model) and generalizes the notion of a canonical ensemble. More importantly, when the Hamiltonian can be written as a sum of parts, the Gibbs measure has the Markov property (a certain kind of statistical independence), thus leading to its widespread appearance in many problems outside of physics such as biology, Hopfield networks, Markov networks, and Markov logic networks. Mor
Probability measures. --- Distribution (Probability theory) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Measures, Normalized --- Measures, Probability --- Normalized measures
Choose an application
This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.
Number theory. --- History of Mathematical Sciences. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Riemann hypothesis. --- Characteristic functions. --- Characteristic formula of an ideal --- Characteristic Hilbert functions --- Functions, Characteristic --- Functions, Hilbert --- Hilbert characteristic functions --- Hilbert functions --- Hilbert's characteristic functions --- Hilbert's functions --- Postulation formula --- Probabilities --- Riemann's hypothesis --- Numbers, Prime --- Mathematics. --- History. --- Annals --- Auxiliary sciences of history --- Math --- Science
Choose an application
Distributed and communicating objects are becoming ubiquitous. In global, Grid and Peer-to-Peer computing environments, extensive use is made of objects interacting through method calls. So far, no general formalism has been proposed for the foundation of such systems. Caromel and Henrio are the first to define a calculus for distributed objects interacting using asynchronous method calls with generalized futures, i.e., wait-by-necessity -- a must in large-scale systems, providing both high structuring and low coupling, and thus scalability. The authors provide very generic results on expressiveness and determinism, and the potential of their approach is further demonstrated by its capacity to cope with advanced issues such as mobility, groups, and components. Researchers and graduate students will find here an extensive review of concurrent languages and calculi, with comprehensive figures and summaries. Developers of distributed systems can adopt the many implementation strategies that are presented and analyzed in detail. Preface by Luca Cardelli.
Distribution (Probability theory) --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Programming --- Computer architecture. Operating systems
Choose an application
This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are covered comprehensively.
Stochastic processes --- Distribution (Probability theory) --- 519.2 --- Probability. Mathematical statistics --- 519.2 Probability. Mathematical statistics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Mathematical Sciences --- Probability
Choose an application
"Journal of Statistical Distributions and Applications is a peer-reviewed international journal for the publication of original articles of high quality that make significant contributions to statistical distributions and their applications. The scopes include, but are not limited to, development and study of statistical distributions, frequentest and Bayesian statistical inference including goodness-of-fit tests, statistical modeling, computational/simulation methods, and data analysis related to statistical distributions."
Distribution (Probability theory) --- Distribution (Théorie des probabilités) --- Periodicals --- Périodiques --- Distribution functions --- Frequency distribution --- statistics --- statistical modelling --- data analysis --- Characteristic functions --- Probabilities --- Mathematical Statistics --- Probability theory
Listing 1 - 10 of 1097 | << page >> |
Sort by
|