Symbolic Computation for Statistical Inference

Symbolic Computation for Statistical Inference PDF Author: David F. Andrews
Publisher: Oxford University Press, USA
ISBN: 9780198507055
Category : Mathematics
Languages : en
Pages : 184

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Book Description
Over recent years, developments in statistical computing have freed statisticians from the burden of calculation and have made possible new methods of analysis that previously would have been too difficult or time-consuming. Up till now these developments have been primarily in numerical computation and graphical display, but equal steps forward are now being made in the area of symbolic computing: the use of computer languages and procedures to manipulate expressions. This allows researchers to compute an algebraic expression, rather than evaluate the expression numerically over a given range. This book summarizes a decade of research into the use of symbolic computation applied to statistical inference problems. It shows the considerable potential of the subject to automate statistical calculation, leaving researchers free to concentrate on new concepts. Starting with the development of algorithms applied to standard undergraduate problems, the book then goes on to develop increasingly more powerful tools. Later chapters then discuss the application of these algorithms to different areas of statistical methodology.

Symbolic Computation for Statistical Inference

Symbolic Computation for Statistical Inference PDF Author: David F. Andrews
Publisher: Oxford University Press, USA
ISBN: 9780198507055
Category : Mathematics
Languages : en
Pages : 184

Get Book Here

Book Description
Over recent years, developments in statistical computing have freed statisticians from the burden of calculation and have made possible new methods of analysis that previously would have been too difficult or time-consuming. Up till now these developments have been primarily in numerical computation and graphical display, but equal steps forward are now being made in the area of symbolic computing: the use of computer languages and procedures to manipulate expressions. This allows researchers to compute an algebraic expression, rather than evaluate the expression numerically over a given range. This book summarizes a decade of research into the use of symbolic computation applied to statistical inference problems. It shows the considerable potential of the subject to automate statistical calculation, leaving researchers free to concentrate on new concepts. Starting with the development of algorithms applied to standard undergraduate problems, the book then goes on to develop increasingly more powerful tools. Later chapters then discuss the application of these algorithms to different areas of statistical methodology.

Practical Aspects of Declarative Languages

Practical Aspects of Declarative Languages PDF Author: Marco Gavanelli
Publisher: Springer
ISBN: 331928228X
Category : Computers
Languages : en
Pages : 193

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Book Description
This book constitutes the refereed proceedings of the 18th International Symposium on Practical Aspects of Declarative Languages, PADL 2016, held in St. Petersburg, FL, USA, in January 2016. The 11 revised papers presented were carefully reviewed and selected from 17 initial submissions for inclusion in the book. PADL is a forum for researchers and practitioners to present original work emphasizing novel applications and implementation techniques for all forms of declarative concepts, including, functional, logic, constraints, etc.

Statistical Models

Statistical Models PDF Author: A. C. Davison
Publisher: Cambridge University Press
ISBN: 1139437410
Category : Mathematics
Languages : en
Pages : 1026

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Book Description
Models and likelihood are the backbone of modern statistics. This 2003 book gives an integrated development of these topics that blends theory and practice, intended for advanced undergraduate and graduate students, researchers and practitioners. Its breadth is unrivaled, with sections on survival analysis, missing data, Markov chains, Markov random fields, point processes, graphical models, simulation and Markov chain Monte Carlo, estimating functions, asymptotic approximations, local likelihood and spline regressions as well as on more standard topics such as likelihood and linear and generalized linear models. Each chapter contains a wide range of problems and exercises. Practicals in the S language designed to build computing and data analysis skills, and a library of data sets to accompany the book, are available over the Web.

Numerical And Symbolic Computations Of Generalized Inverses

Numerical And Symbolic Computations Of Generalized Inverses PDF Author: Yimin Wei
Publisher: World Scientific
ISBN: 9813238682
Category : Mathematics
Languages : en
Pages : 470

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Book Description
We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.

Data Analysis from Statistical Foundations

Data Analysis from Statistical Foundations PDF Author: Donald Alexander Stuart Fraser
Publisher: Nova Publishers
ISBN: 9781560729686
Category : Mathematics
Languages : en
Pages : 442

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Book Description
Data Analysis from Statistical Foundations

Algebraic Methods in Statistics and Probability

Algebraic Methods in Statistics and Probability PDF Author: Marlos A. G. Viana
Publisher: American Mathematical Soc.
ISBN: 0821826875
Category : Mathematics
Languages : en
Pages : 354

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Book Description
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.

Tensor Methods in Statistics

Tensor Methods in Statistics PDF Author: Peter McCullagh
Publisher: Courier Dover Publications
ISBN: 0486823784
Category : Mathematics
Languages : en
Pages : 308

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Book Description
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.

Components of Variance

Components of Variance PDF Author: D.R. Cox
Publisher: CRC Press
ISBN: 1482285940
Category : Mathematics
Languages : en
Pages : 181

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Book Description
The components of variance is a notion essential to statisticians and quantitative research scientists working in a variety of fields, including the biological, genetic, health, industrial, and psychological sciences. Co-authored by Sir David Cox, the pre-eminent statistician in the field, this book provides in-depth discussions that set forth the essential principles of the subject. It focuses on developing the models that form the basis for detailed analyses as well as on the statistical techniques themselves. The authors include a variety of examples from areas such as clinical trial design, plant and animal breeding, industrial design, and psychometrics.

Applied Asymptotics

Applied Asymptotics PDF Author: A. R. Brazzale
Publisher: Cambridge University Press
ISBN: 9780521847032
Category : Business & Economics
Languages : en
Pages : 256

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Book Description
First practical treatment of small-sample asymptotics, enabling practitioners to apply new methods with confidence.

Statistics for Engineers

Statistics for Engineers PDF Author: Jim Morrison
Publisher: John Wiley & Sons
ISBN: 9780470746431
Category : Mathematics
Languages : en
Pages : 192

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Book Description
This practical text is an essential source of information for those wanting to know how to deal with the variability that exists in every engineering situation. Using typical engineering data, it presents the basic statistical methods that are relevant, in simple numerical terms. In addition, statistical terminology is translated into basic English. In the past, a lack of communication between engineers and statisticians, coupled with poor practical skills in quality management and statistical engineering, was damaging to products and to the economy. The disastrous consequence of setting tight tolerances without regard to the statistical aspect of process data is demonstrated. This book offers a solution, bridging the gap between statistical science and engineering technology to ensure that the engineers of today are better equipped to serve the manufacturing industry. Inside, you will find coverage on: the nature of variability, describing the use of formulae to pin down sources of variation; engineering design, research and development, demonstrating the methods that help prevent costly mistakes in the early stages of a new product; production, discussing the use of control charts, and; management and training, including directing and controlling the quality function. The Engineering section of the index identifies the role of engineering technology in the service of industrial quality management. The Statistics section identifies points in the text where statistical terminology is used in an explanatory context. Engineers working on the design and manufacturing of new products find this book invaluable as it develops a statistical method by which they can anticipate and resolve quality problems before launching into production. This book appeals to students in all areas of engineering and also managers concerned with the quality of manufactured products. Academic engineers can use this text to teach their students basic practical skills in quality management and statistical engineering, without getting involved in the complex mathematical theory of probability on which statistical science is dependent.