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Fundamental Statistical Inference: A Computational Approach, Marc S. Paolella


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Автор: Marc S. Paolella
Название:  Fundamental Statistical Inference: A Computational Approach
Перевод названия: Марк С. Паолелла: Фундаментальный статистический анализ. Вычислительный подход
ISBN: 9781119417866
Издательство: Wiley
Классификация:
ISBN-10: 1119417864
Обложка/Формат: Hardback
Страницы: 584
Вес: 1.01 кг.
Дата издания: 24.08.2018
Серия: Wiley series in probability and statistics
Язык: English
Размер: 247 x 181 x 32
Читательская аудитория: Professional & vocational
Ключевые слова: Mathematics
Основная тема: Mathematics
Подзаголовок: A computational approach
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

A hands-on approach to statistical inference that addresses the latest developments in this ever-growing field

This clear and accessible book for beginning graduate students offers a practical and detailed approach to the field of statistical inference, providing complete derivations of results, discussions, and MATLAB programs for computation. It emphasizes details of the relevance of the material, intuition, and discussions with a view towards very modern statistical inference. In addition to classic subjects associated with mathematical statistics, topics include an intuitive presentation of the (single and double) bootstrap for confidence interval calculations, shrinkage estimation, tail (maximal moment) estimation, and a variety of methods of point estimation besides maximum likelihood, including use of characteristic functions, and indirect inference. Practical examples of all methods are given. Estimation issues associated with the discrete mixtures of normal distribution, and their solutions, are developed in detail. Much emphasis throughout is on non-Gaussian distributions, including details on working with the stable Paretian distribution and fast calculation of the noncentral Students t. An entire chapter is dedicated to optimization, including development of Hessian-based methods, as well as heuristic/genetic algorithms that do not require continuity, with MATLAB codes provided.

The book includes both theory and nontechnical discussions, along with a substantial reference to the literature, with an emphasis on alternative, more modern approaches. The recent literature on the misuse of hypothesis testing and p-values for model selection is discussed, and emphasis is given to alternative model selection methods, though hypothesis testing of distributional assumptions is covered in detail, notably for the normal distribution.

Presented in three parts--Essential Concepts in Statistics; Further Fundamental Concepts in Statistics; and Additional Topics--Fundamental Statistical Inference: A Computational Approach offers comprehensive chapters on: Introducing Point and Interval Estimation; Goodness of Fit and Hypothesis Testing; Likelihood; Numerical Optimization; Methods of Point Estimation; Q-Q Plots and Distribution Testing; Unbiased Point Estimation and Bias Reduction; Analytic Interval Estimation; Inference in a Heavy-Tailed Context; The Method of Indirect Inference; and, as an appendix, A Review of Fundamental Concepts in Probability Theory, the latter to keep the book self-contained, and giving material on some advanced subjects such as saddlepoint approximations, expected shortfall in finance, calculation with the stable Paretian distribution, and convergence theorems and proofs.




The Elements of Statistical Learning

Автор: Trevor Hastie; Robert Tibshirani; Jerome Friedman
Название: The Elements of Statistical Learning
ISBN: 0387848576 ISBN-13(EAN): 9780387848570
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This major new edition features many topics not covered in the original, including graphical models, random forests, and ensemble methods. As before, it covers the conceptual framework for statistical data in our rapidly expanding computerized world.

Statistical Inference in Finan cial and Insurance Mathematics with R

Автор: Brouste Alexandre
Название: Statistical Inference in Finan cial and Insurance Mathematics with R
ISBN: 1785480839 ISBN-13(EAN): 9781785480836
Издательство: Elsevier Science
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Цена: 22570.00 р.
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Описание:

Finance and insurance companies are facing a wide range of parametric statistical problems. Statistical experiments generated by a sample of independent and identically distributed random variables are frequent and well understood, especially those consisting of probability measures of an exponential type. However, the aforementioned applications also offer non-classical experiments implying observation samples of independent but not identically distributed random variables or even dependent random variables.

Three examples of such experiments are treated in this book. First, the Generalized Linear Models are studied. They extend the standard regression model to non-Gaussian distributions. Statistical experiments with Markov chains are considered next. Finally, various statistical experiments generated by fractional Gaussian noise are also described.

In this book, asymptotic properties of several sequences of estimators are detailed. The notion of asymptotical efficiency is discussed for the different statistical experiments considered in order to give the proper sense of estimation risk. Eighty examples and computations with R software are given throughout the text.

  • Examines a range of statistical inference methods in the context of finance and insurance applications
  • Presents the LAN (local asymptotic normality) property of likelihoods
  • Combines the proofs of LAN property for different statistical experiments that appears in financial and insurance mathematics
  • Provides the proper description of such statistical experiments and invites readers to seek optimal estimators (performed in R) for such statistical experiments
Advanced Mathematical And Computational Tools In Metrology And Testing X

Автор: Pavese Franco Et Al
Название: Advanced Mathematical And Computational Tools In Metrology And Testing X
ISBN: 9814678619 ISBN-13(EAN): 9789814678612
Издательство: World Scientific Publishing
Цена: 22176.00 р.
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Описание: This volume contains original and refereed contributions from the tenth AMCTM Conference (http://www.nviim.ru/AMCTM2014) held in St. Petersburg (Russia) in September 2014 on the theme of advanced mathematical and computational tools in metrology and testing.

Elements of Statistical Computing

Автор: Thisted
Название: Elements of Statistical Computing
ISBN: 0412013711 ISBN-13(EAN): 9780412013713
Издательство: Taylor&Francis
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Цена: 27562.00 р.
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Описание: Statistics and computing share many close relationships

Non-Standard Parametric Statistical Inference

Автор: Cheng Russell C H
Название: Non-Standard Parametric Statistical Inference
ISBN: 0198505043 ISBN-13(EAN): 9780198505044
Издательство: Oxford Academ
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Цена: 19404.00 р.
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Описание: This research monograph gives a unified view of non-standard estimation problems. It provides an overall mathematical framework, but also draws together and studies in detail a large number of practical problems, previously only treated separately, offering solution methods and numerical procedures for each.

A Computational Approach to Statistical Learning

Автор: Arnold
Название: A Computational Approach to Statistical Learning
ISBN: 113804637X ISBN-13(EAN): 9781138046375
Издательство: Taylor&Francis
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Цена: 12554.00 р.
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Описание: A Computational Approach to Statistical Learning gives a novel introduction to predictive modeling by focusing on the algorithmic and numeric motivations behind popular statistical methods. The text contains annotated code to over 80 original reference functions. These functions provide minimal working implementations of common statistical learning algorithms. Every chapter concludes with a fully worked out application that illustrates predictive modeling tasks using a real-world dataset. The text begins with a detailed analysis of linear models and ordinary least squares. Subsequent chapters explore extensions such as ridge regression, generalized linear models, and additive models. The second half focuses on the use of general-purpose algorithms for convex optimization and their application to tasks in statistical learning. Models covered include the elastic net, dense neural networks, convolutional neural networks (CNNs), and spectral clustering. A unifying theme throughout the text is the use of optimization theory in the description of predictive models, with a particular focus on the singular value decomposition (SVD). Through this theme, the computational approach motivates and clarifies the relationships between various predictive models. Taylor Arnold is an assistant professor of statistics at the University of Richmond. His work at the intersection of computer vision, natural language processing, and digital humanities has been supported by multiple grants from the National Endowment for the Humanities (NEH) and the American Council of Learned Societies (ACLS). His first book, Humanities Data in R, was published in 2015. Michael Kane is an assistant professor of biostatistics at Yale University. He is the recipient of grants from the National Institutes of Health (NIH), DARPA, and the Bill and Melinda Gates Foundation. His R package bigmemory won the Chamber's prize for statistical software in 2010. Bryan Lewis is an applied mathematician and author of many popular R packages, including irlba, doRedis, and threejs.

Spatial Analysis Along Networks - Statistical and Computational Methods

Автор: Okabe
Название: Spatial Analysis Along Networks - Statistical and Computational Methods
ISBN: 0470770813 ISBN-13(EAN): 9780470770818
Издательство: Wiley
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Цена: 13298.00 р.
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Описание: * Presents a much-needed practical guide to statistical spatial analysis on a network, in a logical, user-friendly order. * Introduces the preliminary methods involved, before detailing the advanced, computational methods, enabling the readers a complete understanding of the advanced topics.

Computational and Statistical Methods for Analysing Big Data with

Автор: Shen Liu
Название: Computational and Statistical Methods for Analysing Big Data with
ISBN: 0128037326 ISBN-13(EAN): 9780128037324
Издательство: Elsevier Science
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Цена: 11620.00 р.
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Описание:

Due to the scale and complexity of data sets currently being collected in areas such as health, transportation, environmental science, engineering, information technology, business and finance, modern quantitative analysts are seeking improved and appropriate computational and statistical methods to explore, model and draw inferences from big data. This book aims to introduce suitable approaches for such endeavours, providing applications and case studies for the purpose of demonstration.

"Computational and Statistical Methods for Analysing Big Data with Applications" starts with an overview of the era of big data. It then goes onto explain the computational and statistical methods which have been commonly applied in the big data revolution. For each of these methods, an example is provided as a guide to its application. Five case studies are presented next, focusing on computer vision with massive training data, spatial data analysis, advanced experimental design methods for big data, big data in clinical medicine, and analysing data collected from mobile devices, respectively. The book concludes with some final thoughts and suggested areas for future research in big data.

Advanced computational and statistical methodologies for analysing big data are developed.

Experimental design methodologies are described and implemented to make the analysis of big data more computationally tractable.

Case studies are discussed to demonstrate the implementation of the developed methods.

Five high-impact areas of application are studied: computer vision, geosciences, commerce, healthcare and transportation.

Computing code/programs are provided where appropriate.

Statistical Theory and Computational Aspects of Smoothing

Автор: Wolfgang H?rdle; Michael Schimek
Название: Statistical Theory and Computational Aspects of Smoothing
ISBN: 3790809306 ISBN-13(EAN): 9783790809305
Издательство: Springer
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Цена: 12157.00 р.
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Описание: One of the main applications of statistical smoothing techniques is nonparametric regression. Smoothing techniques in regression as well as other statistical methods are increasingly applied in biosciences and economics. Introduced are new developments in scatterplot smoothing and applications in statistical modelling.

Statistical and Computational Inverse Problems

Автор: Jari Kaipio; E. Somersalo
Название: Statistical and Computational Inverse Problems
ISBN: 1441919643 ISBN-13(EAN): 9781441919649
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results.

Fundamental Statistical Principles for the Neurobiologist

Автор: Stephen W. Scheff
Название: Fundamental Statistical Principles for the Neurobiologist
ISBN: 0128047534 ISBN-13(EAN): 9780128047538
Издательство: Elsevier Science
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Цена: 8588.00 р.
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Описание:

Fundamental Statistical Principles for Neurobiologists introduces readers to basic experimental design and statistical thinking in a comprehensive, relevant manner. This book is an introductory statistics book that covers fundamental principles written by a neuroscientist who understands the plight of the neuroscience graduate student and the senior investigator. It summarizes the fundamental concepts associated with statistical analysis that are useful for the neuroscientist, and provides understanding of a particular test in language that is more understandable to this specific audience, with the overall purpose of explaining which statistical technique should be used in which situation. Different types of data are discussed such as how to formulate a research hypothesis, the primary types of statistical errors and statistical power, followed by how to actually graph data and what kinds of mistakes to avoid. Chapters discuss variance, standard deviation, standard error, mean, confidence intervals, correlation, regression, parametric vs. nonparametric statistical tests, ANOVA, and post hoc analyses. Finally, there is a discussion on how to deal with data points that appear to be "outliers" and what to do when there is missing data, an issue that has not sufficiently been covered in literature.


  • An introductory guide to statistics aimed specifically at the neuroscience audience
  • Contains numerous examples with actual data that is used in the analysis
  • Gives the investigators a starting pointing for evaluating data in easy-to-understand language
  • Explains in detail many different statistical tests commonly used by neuroscientists
Computer Age Statistical Inference

Автор: Bradley Efron and Trevor Hastie
Название: Computer Age Statistical Inference
ISBN: 1107149894 ISBN-13(EAN): 9781107149892
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.


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