Introduction to Probability and Statistics

Introduction to Probability and Statistics
  • Author : Janet Susan Milton,Jesse C. Arnold
  • Publisher : McGraw-Hill Companies
  • Pages : 824
  • Relase : 2003
  • ISBN : UCSC:32106016529130

Introduction to Probability and Statistics Book Review:

This well-respected text is designed for the first course in probability and statistics taken by students majoring in Engineering and the Computing Sciences. The prerequisite is one year of calculus. The text offers a balanced presentation of applications and theory. The authors take care to develop the theoretical foundations for the statistical methods presented at a level that is accessible to students with only a calculus background. They explore the practical implications of the formal results to problem-solving so students gain an understanding of the logic behind the techniques as well as practice in using them. The examples, exercises, and applications were chosen specifically for students in engineering and computer science and include opportunities for real data analysis.

A User's Guide to Principal Components

A User's Guide to Principal Components
  • Author : J. Edward Jackson
  • Publisher : John Wiley & Sons
  • Pages : 592
  • Relase : 2005-01-21
  • ISBN : 9780471725329

A User's Guide to Principal Components Book Review:

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selectedbooks that have been made more accessible to consumers in an effortto increase global appeal and general circulation. With these newunabridged softcover volumes, Wiley hopes to extend the lives ofthese works by making them available to future generations ofstatisticians, mathematicians, and scientists. From the Reviews of A User’s Guide to PrincipalComponents "The book is aptly and correctly named–A User’sGuide. It is the kind of book that a user at any level, novice orskilled practitioner, would want to have at hand for autotutorial,for refresher, or as a general-purpose guide through the maze ofmodern PCA." –Technometrics "I recommend A User’s Guide to Principal Components toanyone who is running multivariate analyses, or who contemplatesperforming such analyses. Those who write their own software willfind the book helpful in designing better programs. Those who useoff-the-shelf software will find it invaluable in interpreting theresults." –Mathematical Geology

A Modern Introduction to Probability and Statistics

A Modern Introduction to Probability and Statistics
  • Author : F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
  • Publisher : Springer Science & Business Media
  • Pages : 488
  • Relase : 2006-03-30
  • ISBN : 9781846281686

A Modern Introduction to Probability and Statistics Book Review:

Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Probability and Statistical Inference

Probability and Statistical Inference
  • Author : Miltiadis C. Mavrakakis,Jeremy Penzer
  • Publisher : CRC Press
  • Pages : 444
  • Relase : 2021-03-29
  • ISBN : 9781315362045

Probability and Statistical Inference Book Review:

Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the statistical methods used in their fields.

Systems Engineering with Economics, Probability, and Statistics

Systems Engineering with Economics, Probability, and Statistics
  • Author : C. Jotin Khisty,Jamshid Mohammadi,Adjo A. Amedkudzi
  • Publisher : J. Ross Publishing
  • Pages : 600
  • Relase : 2012
  • ISBN : 9781604270556

Systems Engineering with Economics, Probability, and Statistics Book Review:

This title offers an overview of the fundamentals and practice applications of probability and statistics, microeconomics, engineering economics, hard and soft systems analysis, and sustainable development and sustainability applications in engineering planning.

Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
  • Author : Andrei D. Polyanin,Alexander V. Manzhirov
  • Publisher : CRC Press
  • Pages : 1544
  • Relase : 2006-11-27
  • ISBN : 9781420010510

Handbook of Mathematics for Engineers and Scientists Book Review:

The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

An Introduction to Probability and Statistics

An Introduction to Probability and Statistics
  • Author : Vijay K. Rohatgi,A.K. Md. Ehsanes Saleh
  • Publisher : John Wiley & Sons
  • Pages : 728
  • Relase : 2015-09-01
  • ISBN : 9781118799659

An Introduction to Probability and Statistics Book Review:

A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof probability. The second part addresses statistical inference, and the remainingchapters focus on special topics. An Introduction to Probability and Statistics, Third Edition includes: A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics Additional topical coverage on bootstrapping, estimation procedures, and resampling Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals Over 550 problems and answers to most problems, as well as 350 worked out examples and 200 remarks Numerous figures to further illustrate examples and proofs throughout An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and statistics.

Statistics for Data Scientists

Statistics for Data Scientists
  • Author : Maurits Kaptein,Edwin van den Heuvel
  • Publisher : Springer
  • Pages : 321
  • Relase : 2022-02-27
  • ISBN : 303010530X

Statistics for Data Scientists Book Review:

This book provides an undergraduate introduction to analysing data for data science, computer science, and quantitative social science students. It uniquely combines a hands-on approach to data analysis – supported by numerous real data examples and reusable [R] code – with a rigorous treatment of probability and statistical principles. Where contemporary undergraduate textbooks in probability theory or statistics often miss applications and an introductory treatment of modern methods (bootstrapping, Bayes, etc.), and where applied data analysis books often miss a rigorous theoretical treatment, this book provides an accessible but thorough introduction into data analysis, using statistical methods combining the two viewpoints. The book further focuses on methods for dealing with large data-sets and streaming-data and hence provides a single-course introduction of statistical methods for data science.

Principles of Managerial Statistics and Data Science

Principles of Managerial Statistics and Data Science
  • Author : Roberto Rivera
  • Publisher : John Wiley & Sons
  • Pages : 688
  • Relase : 2020-02-05
  • ISBN : 9781119486411

Principles of Managerial Statistics and Data Science Book Review:

Introduces readers to the principles of managerial statistics and data science, with an emphasis on statistical literacy of business students Through a statistical perspective, this book introduces readers to the topic of data science, including Big Data, data analytics, and data wrangling. Chapters include multiple examples showing the application of the theoretical aspects presented. It features practice problems designed to ensure that readers understand the concepts and can apply them using real data. Over 100 open data sets used for examples and problems come from regions throughout the world, allowing the instructor to adapt the application to local data with which students can identify. Applications with these data sets include: Assessing if searches during a police stop in San Diego are dependent on driver’s race Visualizing the association between fat percentage and moisture percentage in Canadian cheese Modeling taxi fares in Chicago using data from millions of rides Analyzing mean sales per unit of legal marijuana products in Washington state Topics covered in Principles of Managerial Statistics and Data Science include:data visualization; descriptive measures; probability; probability distributions; mathematical expectation; confidence intervals; and hypothesis testing. Analysis of variance; simple linear regression; and multiple linear regression are also included. In addition, the book offers contingency tables, Chi-square tests, non-parametric methods, and time series methods. The textbook: Includes academic material usually covered in introductory Statistics courses, but with a data science twist, and less emphasis in the theory Relies on Minitab to present how to perform tasks with a computer Presents and motivates use of data that comes from open portals Focuses on developing an intuition on how the procedures work Exposes readers to the potential in Big Data and current failures of its use Supplementary material includes: a companion website that houses PowerPoint slides; an Instructor's Manual with tips, a syllabus model, and project ideas; R code to reproduce examples and case studies; and information about the open portal data Features an appendix with solutions to some practice problems Principles of Managerial Statistics and Data Science is a textbook for undergraduate and graduate students taking managerial Statistics courses, and a reference book for working business professionals.

The Principles of Experimental Research

The Principles of Experimental Research
  • Author : K Srinagesh
  • Publisher : Elsevier
  • Pages : 432
  • Relase : 2011-04-01
  • ISBN : 9780080497815

The Principles of Experimental Research Book Review:

The need to understand how to design and set up an investigative experiment is nearly universal to all students in engineering, applied technology and science, as well as many of the social sciences. Many schools offer courses in this fundamental skill and this book is meant to offer an easily accessible introduction to the essential tools needed, including an understanding of logical processes, how to use measurement, the do’s and don’ts of designing experiments so as to achieve reproducible results and the basic mathematical underpinnings of how data should be analyzed and interpreted. The subject is also taught as part of courses on Engineering statistics, Quality Control in Manufacturing, and Senior Design Project, in which conducting experimental research is usually integral to the project in question. * Covers such essential fundamentals as "definitions," "quantification," and standardization of test materials * Shows students and professionals alike how to plan an experiment—from how to frame a proper Hypothesis to designing an experiment to accurately reflect the nature of the problem to "designing with factors." * Includes a separate section on the use of Statistics in Experimental Research, including overview of probability and statistics, as well as Randomization, Replication and Sampling, as well as proper ways to draw statistical inferences from experimental data.

Statistics for Spatial Data

Statistics for Spatial Data
  • Author : Noel Cressie
  • Publisher : John Wiley & Sons
  • Pages : 928
  • Relase : 2015-03-18
  • ISBN : 9781119115182

Statistics for Spatial Data Book Review:

The Wiley Classics Library consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. Spatial statistics — analyzing spatial data through statistical models — has proven exceptionally versatile, encompassing problems ranging from the microscopic to the astronomic. However, for the scientist and engineer faced only with scattered and uneven treatments of the subject in the scientific literature, learning how to make practical use of spatial statistics in day-to-day analytical work is very difficult. Designed exclusively for scientists eager to tap into the enormous potential of this analytical tool and upgrade their range of technical skills, Statistics for Spatial Data is a comprehensive, single-source guide to both the theory and applied aspects of spatial statistical methods. The hard-cover edition was hailed by Mathematical Reviews as an "excellent book which will become a basic reference." This paper-back edition of the 1993 edition, is designed to meet the many technological challenges facing the scientist and engineer. Concentrating on the three areas of geostatistical data, lattice data, and point patterns, the book sheds light on the link between data and model, revealing how design, inference, and diagnostics are an outgrowth of that link. It then explores new methods to reveal just how spatial statistical models can be used to solve important problems in a host of areas in science and engineering. Discussion includes: Exploratory spatial data analysis Spectral theory for stationary processes Spatial scale Simulation methods for spatial processes Spatial bootstrapping Statistical image analysis and remote sensing Computational aspects of model fitting Application of models to disease mapping Designed to accommodate the practical needs of the professional, it features a unified and common notation for its subject as well as many detailed examples woven into the text, numerous illustrations (including graphs that illuminate the theory discussed) and over 1,000 references. Fully balancing theory with applications, Statistics for Spatial Data, Revised Edition is an exceptionally clear guide on making optimal use of one of the ascendant analytical tools of the decade, one that has begun to capture the imagination of professionals in biology, earth science, civil, electrical, and agricultural engineering, geography, epidemiology, and ecology.

Forecasting with Dynamic Regression Models

Forecasting with Dynamic Regression Models
  • Author : Alan Pankratz
  • Publisher : John Wiley & Sons
  • Pages : 400
  • Relase : 2012-01-20
  • ISBN : 9781118150788

Forecasting with Dynamic Regression Models Book Review:

One of the most widely used tools in statistical forecasting, single equation regression models is examined here. A companion to the author's earlier work, Forecasting with Univariate Box-Jenkins Models: Concepts and Cases, the present text pulls together recent time series ideas and gives special attention to possible intertemporal patterns, distributed lag responses of output to input series and the auto correlation patterns of regression disturbance. It also includes six case studies.

Fundamentals of Exploratory Analysis of Variance

Fundamentals of Exploratory Analysis of Variance
  • Author : David C. Hoaglin,Frederick Mosteller,John W. Tukey
  • Publisher : John Wiley & Sons
  • Pages : 448
  • Relase : 2009-09-25
  • ISBN : 9780470317662

Fundamentals of Exploratory Analysis of Variance Book Review:

The analysis of variance is presented as an exploratory component of data analysis, while retaining the customary least squares fitting methods. Balanced data layouts are used to reveal key ideas and techniques for exploration. The approach emphasizes both the individual observations and the separate parts that the analysis produces. Most chapters include exercises and the appendices give selected percentage points of the Gaussian, t, F chi-squared and studentized range distributions.

Statistical Methods: The Geometric Approach

Statistical Methods: The Geometric Approach
  • Author : David J. Saville,Graham R. Wood
  • Publisher : Springer Science & Business Media
  • Pages : 561
  • Relase : 2012-12-06
  • ISBN : 9781461209713

Statistical Methods: The Geometric Approach Book Review:

A novel exposition of the analysis of variance and regression. The key feature here is that these tools are viewed in their natural mathematical setting - the geometry of finite dimensions. This is because geometry clarifies the basic statistics and unifies the many aspects of analysing variance and regression.

The Concept of Probability in Statistical Physics

The Concept of Probability in Statistical Physics
  • Author : Y. M. Guttmann
  • Publisher : Cambridge University Press
  • Pages : 283
  • Relase : 1999-07-13
  • ISBN : 9780521621281

The Concept of Probability in Statistical Physics Book Review:

A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Linear Models for Multivariate, Time Series, and Spatial Data

Linear Models for Multivariate, Time Series, and Spatial Data
  • Author : Ronald Christensen
  • Publisher : Springer Science & Business Media
  • Pages : 318
  • Relase : 2013-11-11
  • ISBN : 9781475741032

Linear Models for Multivariate, Time Series, and Spatial Data Book Review:

This is a self-contained companion volume to the authors book "Plane Answers to Complex Questions: The Theory of Linear Models". It provides introductions to several topics related to linear model theory: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis (geostatistics). The purpose of this volume is to use the three fundamental ideas of best linear prediction, projections, and Mahalanobis' distance to exploit their properties in examining multivariate, time series and spatial data. Ronald Christensen is Professor of Statistics at the University of New Mexico, and is recognised internationally as an expert in the theory and application of linear models.

Introduction to Probability and Statistics for Engineers

Introduction to Probability and Statistics for Engineers
  • Author : Milan Holický
  • Publisher : Springer Science & Business Media
  • Pages : 181
  • Relase : 2013-08-04
  • ISBN : 9783642383007

Introduction to Probability and Statistics for Engineers Book Review:

The theory of probability and mathematical statistics is becoming an indispensable discipline in many branches of science and engineering. This is caused by increasing significance of various uncertainties affecting performance of complex technological systems. Fundamental concepts and procedures used in analysis of these systems are often based on the theory of probability and mathematical statistics. The book sets out fundamental principles of the probability theory, supplemented by theoretical models of random variables, evaluation of experimental data, sampling theory, distribution updating and tests of statistical hypotheses. Basic concepts of Bayesian approach to probability and two-dimensional random variables, are also covered. Examples of reliability analysis and risk assessment of technological systems are used throughout the book to illustrate basic theoretical concepts and their applications. The primary audience for the book includes undergraduate and graduate students of science and engineering, scientific workers and engineers and specialists in the field of reliability analysis and risk assessment. Except basic knowledge of undergraduate mathematics no special prerequisite is required.

Plane Answers to Complex Questions

Plane Answers to Complex Questions
  • Author : Ronald Christensen
  • Publisher : Springer Science & Business Media
  • Pages : 453
  • Relase : 2013-03-09
  • ISBN : 9781475724776

Plane Answers to Complex Questions Book Review:

The second edition of Plane Answers has many additions and a couple of deletions. New material includes additional illustrative examples in Ap pendices A and B and Chapters 2 and 3, as well as discussions of Bayesian estimation, near replicate lack of fit tests, testing the independence assump tion, testing variance components, the interblock analysis for balanced in complete block designs, nonestimable constraints, analysis of unreplicated experiments using normal plots, tensors, and properties of Kronecker prod ucts and Vee operators. The book contains an improved discussion of the relation between ANOVA and regression, and an improved presentation of general Gauss-Markov models. The primary material that has been deleted are the discussions of weighted means and of log-linear models. The mate rial on log-linear models was included in Christensen (1990b), so it became redundant here. Generally, I have tried to clean up the presentation of ideas wherever it seemed obscure to me. Much of the work on the second edition was done while on sabbatical at the University of Canterbury in Christchurch, New Zealand. I would par ticularly like to thank John Deely for arranging my sabbatical. Through their comments and criticisms, four people were particularly helpful in con structing this new edition. I would like to thank Wes Johnson, Snehalata Huzurbazar, Ron Butler, and Vance Berger.

Sensitivity Analysis in Linear Regression

Sensitivity Analysis in Linear Regression
  • Author : Samprit Chatterjee,Ali S. Hadi
  • Publisher : John Wiley & Sons
  • Pages : 315
  • Relase : 2009-09-25
  • ISBN : 9780470317426

Sensitivity Analysis in Linear Regression Book Review:

Treats linear regression diagnostics as a tool for application of linear regression models to real-life data. Presentation makes extensive use of examples to illustrate theory. Assesses the effect of measurement errors on the estimated coefficients, which is not accounted for in a standard least squares estimate but is important where regression coefficients are used to apportion effects due to different variables. Also assesses qualitatively and numerically the robustness of the regression fit.

Probability and Statistics

Probability and Statistics
  • Author : José I. Barragués,Adolfo Morais,Jenaro Guisasola
  • Publisher : CRC Press
  • Pages : 490
  • Relase : 2016-04-19
  • ISBN : 9781482219807

Probability and Statistics Book Review:

With contributions by leaders in the field, this book provides a comprehensive introduction to the foundations of probability and statistics. Each of the chapters covers a major topic and offers an intuitive view of the subject matter, methodologies, concepts, terms, and related applications. The book is suitable for use for entry level courses in first year university studies of Science and Engineering, higher level courses, postgraduate university studies and for the research community.