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All Of Statistics

Author : Larry Wasserman
ISBN : 9780387217369
Genre : Mathematics
File Size : 80. 65 MB
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Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Essentials Of Pattern Recognition

Author : Jianxin Wu
ISBN : 9781108483469
Genre : Computers
File Size : 29. 89 MB
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An accessible undergraduate introduction to the concepts and methods in pattern recognition, machine learning and deep learning.

Amstat News

Author : American Statistical Association
ISBN : UOM:39015060967372
Genre : Statistics
File Size : 70. 31 MB
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All Of Nonparametric Statistics

Author : Larry Wasserman
ISBN : 0387306234
Genre : Mathematics
File Size : 49. 37 MB
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This text provides the reader with a single book where they can find accounts of a number of up-to-date issues in nonparametric inference. The book is aimed at Masters or PhD level students in statistics, computer science, and engineering. It is also suitable for researchers who want to get up to speed quickly on modern nonparametric methods. It covers a wide range of topics including the bootstrap, the nonparametric delta method, nonparametric regression, density estimation, orthogonal function methods, minimax estimation, nonparametric confidence sets, and wavelets. The book’s dual approach includes a mixture of methodology and theory.

Mathematical Reviews

Author :
ISBN : UOM:39015078588624
Genre : Mathematics
File Size : 75. 3 MB
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Foundations Of Applied Mathematics Volume 2

Author : Jeffrey Humpherys
ISBN : 9781611976069
Genre : Mathematics
File Size : 45. 60 MB
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In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization. When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?” This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, and machine learning.

A First Course In Statistical Inference

Author : Jonathan Gillard
ISBN : 303039560X
Genre : Mathematics
File Size : 32. 68 MB
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This book offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data. Based on the author’s extensive teaching experience, the material of the book has been honed by student feedback for over a decade. Assuming only some familiarity with elementary probability, this textbook has been devised for a one semester first course in statistics.

Patch Based Image Denoising And Its Performance Limits

Author : Priyam Chatterjee
ISBN : UCAL:W265289
Genre :
File Size : 65. 22 MB
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Theoretical Statistics

Author : Robert W. Keener
ISBN : 0387938397
Genre : Mathematics
File Size : 46. 78 MB
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Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential. The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods. Moving beyond more standard material, the book includes chapters introducing bootstrap methods, nonparametric regression, equivariant estimation, empirical Bayes, and sequential design and analysis. The book has a rich collection of exercises. Several of them illustrate how the theory developed in the book may be used in various applications. Solutions to many of the exercises are included in an appendix.

Forthcoming Books

Author : Rose Arny
ISBN : UOM:39015060466151
Genre : American literature
File Size : 29. 4 MB
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Introduction To Nonparametric Estimation

Author : Alexandre B. Tsybakov
ISBN : 9780387790527
Genre : Mathematics
File Size : 46. 62 MB
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Developed from lecture notes and ready to be used for a course on the graduate level, this concise text aims to introduce the fundamental concepts of nonparametric estimation theory while maintaining the exposition suitable for a first approach in the field.

Introduction To Statistical Inference

Author : Harold Adolph Freeman
ISBN : UOM:39015004473875
Genre : Mathematical statistics
File Size : 37. 1 MB
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Theory Of Multivariate Statistics

Author : Martin Bilodeau
ISBN : 0387987398
Genre : Mathematics
File Size : 79. 68 MB
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Intended as a textbook for students taking a first graduate course in the subject, as well as for the general reference of interested research workers, this text discusses, in a readable form, developments from recently published work on certain broad topics not otherwise easily accessible, such as robust inference and the use of the bootstrap in a multivariate setting. A minimum background expected of the reader would include at least two courses in mathematical statistics, and certainly some exposure to the calculus of several variables together with the descriptive geometry of linear algebra.

Asymptotic Statistical Inference

Author : Shailaja Deshmukh
ISBN : 9811590028
Genre : Mathematics
File Size : 49. 92 MB
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The book presents the fundamental concepts from asymptotic statistical inference theory, elaborating on some basic large sample optimality properties of estimators and some test procedures. The most desirable property of consistency of an estimator and its large sample distribution, with suitable normalization, are discussed, the focus being on the consistent and asymptotically normal (CAN) estimators. It is shown that for the probability models belonging to an exponential family and a Cramer family, the maximum likelihood estimators of the indexing parameters are CAN. The book describes some large sample test procedures, in particular, the most frequently used likelihood ratio test procedure. Various applications of the likelihood ratio test procedure are addressed, when the underlying probability model is a multinomial distribution. These include tests for the goodness of fit and tests for contingency tables. The book also discusses a score test and Wald’s test, their relationship with the likelihood ratio test and Karl Pearson’s chi-square test. An important finding is that, while testing any hypothesis about the parameters of a multinomial distribution, a score test statistic and Karl Pearson’s chi-square test statistic are identical. Numerous illustrative examples of differing difficulty level are incorporated to clarify the concepts. For better assimilation of the notions, various exercises are included in each chapter. Solutions to almost all the exercises are given in the last chapter, to motivate students towards solving these exercises and to enable digestion of the underlying concepts. The concepts from asymptotic inference are crucial in modern statistics, but are difficult to grasp in view of their abstract nature. To overcome this difficulty, keeping up with the recent trend of using R software for statistical computations, the book uses it extensively, for illustrating the concepts, verifying the properties of estimators and carrying out various test procedures. The last section of the chapters presents R codes to reveal and visually demonstrate the hidden aspects of different concepts and procedures. Augmenting the theory with R software is a novel and a unique feature of the book. The book is designed primarily to serve as a text book for a one semester introductory course in asymptotic statistical inference, in a post-graduate program, such as Statistics, Bio-statistics or Econometrics. It will also provide sufficient background information for studying inference in stochastic processes. The book will cater to the need of a concise but clear and student-friendly book introducing, conceptually and computationally, basics of asymptotic inference.

Technometrics

Author :
ISBN : UOM:39015058749626
Genre : Experimental design
File Size : 88. 29 MB
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Journal Of The American Statistical Association

Author :
ISBN : UCSD:31822036057495
Genre : Statistics
File Size : 80. 21 MB
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Bulletin Institute Of Mathematical Statistics

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ISBN : UOM:35128000665966
Genre : Mathematical statistics
File Size : 65. 76 MB
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Probability With Statistical Applications

Author : Rinaldo Bruno Schinazi
ISBN : 0817642471
Genre : Mathematics
File Size : 63. 3 MB
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This concise text is intended for a one-semester course, and offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Only basiccalculus is required. However, the book is written so that the calculus difficulties of students do not obscure the probability content in the first six chapters. Thus, the exposition initially focuses on fundamental probability concepts and an easy introduction to statistics. Theory is kept to a minimum here, the striking feature being numerous exercises and examples. Chapters 7 and 8 rely heavily on the calculus of one and several variables to study sums of random variables (via moment generating functions), transformations of random variables (using distribution functions) and transformations of random vectors. In Chapter 8 a number of facts are proved with respect to expectation, variance and covariance, and normal samples. In recent years there has been an increasing need for teaching some statistics in an introductory probability course. Many undergraduate programs in biology, computer science, engineering, physics and mathematics have traditionally required such a cour

A First Course In Statistics For Signal Analysis

Author : Wojbor A. Woyczynski
ISBN : 0817681019
Genre : Mathematics
File Size : 78. 67 MB
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This self-contained and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, which are explained in a concise, yet rigorous presentation. With abundant practice exercises and thorough explanations, A First Course in Statistics for Signal Analysis is an excellent tool for both teaching students and training laboratory scientists and engineers. Improvements in the second edition include considerably expanded sections, enhanced precision, and more illustrative figures.

Bulletin

Author :
ISBN : UCAL:B4022903
Genre :
File Size : 47. 60 MB
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