Author: Seth Sullivant Publisher: American Mathematical Soc. ISBN: 1470435179 Category : Education Languages : en Pages : 506
Book Description
Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.
Author: Paolo Gibilisco Publisher: Cambridge University Press ISBN: 0521896193 Category : Mathematics Languages : en Pages : 447
Book Description
An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.
Author: Marlos A. G. Viana Publisher: American Mathematical Soc. ISBN: 0821848917 Category : Mathematics Languages : en Pages : 358
Book Description
A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --
Author: Raina Robeva Publisher: Academic Press ISBN: 0128012714 Category : Mathematics Languages : en Pages : 383
Book Description
Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources
Author: Jeremy Kepner Publisher: SIAM ISBN: 9780898719918 Category : Mathematics Languages : en Pages : 388
Book Description
The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.
Author: Heather A. Harrington Publisher: American Mathematical Soc. ISBN: 1470423219 Category : Mathematics Languages : en Pages : 290
Book Description
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held on January 11, 2015, in San Antonio, Texas. The papers present connections between techniques from “pure” mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory. Papers not only present novel results, but also survey the current state of knowledge of important topics in applied discrete mathematics. Particular highlights include: a new computational framework, based on geometric combinatorics, for structure prediction from RNA sequences; a new method for approximating the optimal solution of a sum of squares problem; a survey of recent Helly-type geometric theorems; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from the perspective of algebraic statistics with applications to networks. This volume was written for those trained in areas such as algebra, topology, geometry, and combinatorics who are interested in tackling problems in fields such as biology, the social sciences, data analysis, and optimization. It may be useful not only for experts, but also for students who wish to gain an applied or interdisciplinary perspective.
Author: Dr. B. N. Gupta Publisher: SBPD Publications ISBN: Category : Education Languages : en Pages : 948
Book Description
An excellent book for commerce students appearing in competitive, professional and other examinations. 1. Statistics : Meaning, Nature and Limitations, 2. Statistics : Scope and Importance, 3. Statistical Investigation, 4. Types and Collection of Data, 5. Questionnaire and Schedule, 6. Sample Survey, 7. Editing of Collected Data, 8. Classification and Tabulation of Data, 9. Diagrammatic Presentation of Data, 10. Graphic Presentation of Data, 11. Construction of Frequency Distribution, 12. Measures of Central Tendency, 13. Geometric Mean and Harmonic Mean, 14. Partition Values, 15. Measures of Dispersion, 16. Measures of Skewness, 17. Moments, 18. Measures of Kurtosis, 19. Correlation, 20. Index Number, 21. Analysis of Time Series, 22. Interpolations and Extrapolation, 23 . Regression Analysis, 24. Probability Theory, 25. Probability Distributions or Theoretical Frequency Distributions, 26. Association of Attributes, 27 . Sampling Theory and Tests of Significance, 28. Chi-Square Test and Goodness of Fit, 29. Analysis of Variance, 30 . Statistical Quality-Control (SQC).
Author: PN Arora Publisher: S. Chand Publishing ISBN: 8121927765 Category : Technology & Engineering Languages : en Pages : 45
Book Description
For M.Com., MBA, MFC, MBE, M.A(Eco.),MCA, B.Com(H), B.Com(P),B.A.(H)Eco,BBA,BBS,BBE, B.A., etc. of all Indian Universities. Also for CA., ICWA, IAS, and other Equivalent Competitive Examinations. Presents a clear, simple, systematic and comprehensive exposition of the methods, principles and techniques of statistics in various disciplines with special reference of commerce, management, economics and business. A large number of solved (about 1500) problems and unsolved (nearly 3000) problems have been included to enable the user of statistical techniques and methods in commerce, economics, management and other related areas.
Author: G. V. Shenoy Publisher: New Age International ISBN: 9788122400113 Category : Business & Economics Languages : en Pages : 624
Book Description
This Book Has Been Written In Such A Way That The Study Of Statistics Is Made Interesting And It Has Been Oriented Towards Application Of Statistical Techniques To A Variety Of Real Life Problems. Most Of The Existing Books Discuss Application Of Statistical Techniques To Problems Such As Height And Weight, Ages Of Husband And Wife, Etc. There Is Hardly Any Book Which Is Contextually Relevant For Teaching Statistics At The Undergraduate Level. An Attempt Has Been Made In This Book To Bridge This Gap.Authors Have Introduced Varied Real Life Examples By Including A Large Number Of Solved Examples To Illustrate How Statistical Techniques Can Actually Be Applied To A Wide Variety Of Real Life Problems. Many Illustrations Have Been Drawn From Various University Examinations Also. In Addition, To Provide An Opportunity Of Students To Gain More Skills To Apply The Concepts, Large Number Of Problems Have Been Included At The End Of Each Chapter. The Book Contains Fifteen Chapters And The Concepts Have Been Discussed In A Simple Language. The Book Is Meant For Undergraduate Students Of All Indian Universities. It Will Also Serve As A Text For The Professional Examinations, Including Ca And Costing.
Author: Seth Sullivant
Author: Paolo Gibilisco
Author: L. Pachter
Author: Marlos A. G. Viana
Author: Raina Robeva
Author: Jeremy Kepner
Author: Heather A. Harrington
Author: Dr. B. N. Gupta
Author: PN Arora
Author: G. V. Shenoy