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Books in Statistics and probability

Exploring the fundamentals and advanced techniques of statistical analysis and probabilistic modeling, this selection supports data scientists, researchers, and decision-makers. It features cutting-edge methods, applications in industry, and case studies addressing uncertainty, risk assessment, and data-driven decision-making. These resources foster accurate interpretation, predictive analytics, and evidence-based insights essential for innovation in research, healthcare, finance, and policy development.

  • Statistics for Physical Sciences

    An Introduction
    • 1st Edition
    • Brian Martin
    • English
    Statistics for Physical Sciences is an informal, relatively short, but systematic, guide to the more commonly used ideas and techniques in statistical analysis, as used in physical sciences, together with explanations of their origins. It steers a path between the extremes of a recipe of methods with a collection of useful formulas, and a full mathematical account of statistics, while at the same time developing the subject in a logical way. The book can be read in its entirety by anyone with a basic exposure to mathematics at the level of a first-year undergraduate student of physical science and should be useful for practising physical scientists, plus undergraduate and postgraduate students in these fields.
  • Probability and Random Processes

    With Applications to Signal Processing and Communications
    • 2nd Edition
    • Scott Miller + 1 more
    • English
    Probability and Random Processes, Second Edition presents pertinent applications to signal processing and communications, two areas of key interest to students and professionals in today's booming communications industry. The book includes unique chapters on narrowband random processes and simulation techniques. It also describes applications in digital communications, information theory, coding theory, image processing, speech analysis, synthesis and recognition, and others. Exceptional exposition and numerous worked out problems make this book extremely readable and accessible. The authors connect the applications discussed in class to the textbook. The new edition contains more real world signal processing and communications applications. It introduces the reader to the basics of probability theory and explores topics ranging from random variables, distributions and density functions to operations on a single random variable. There are also discussions on pairs of random variables; multiple random variables; random sequences and series; random processes in linear systems; Markov processes; and power spectral density. This book is intended for practicing engineers and students in graduate-level courses in the topic.
  • Statistical Aspects of Water Quality Monitoring

    • 1st Edition
    • Volume 27
    • A.H. El-Shaarawi + 1 more
    • English
    This volume contains selected papers from the ``Workshop on the Statistical Aspects of Water Quality Monitoring'', held on October 7-10 1985, at the National Water Research Institute in Burlington, Ontario, Canada. The prime objective of the Workshop was to generate interaction between the statistical community and scientists working in the area of Water Quality Monitoring. To this end, topics covered in this Workshop fall into two categories: (1) Methods Development, and (2) the Imaginative Application of Existing Methodologies. Subjects covered include: Time Series, Estimation of Loading, Clustering, Model Development, Censoring Data Analysis, Quality Control and Data Acquisition.In the area of environmental sciences, statistical applications are still in their infancy, with few attempts to systematically develop techniques dealing with environmental issues. The publication of this book is one step towards identifying appropriate statistical techniques and diagnosing problems in Water Quality Monitoring which require new statistical methodologies. The papers presented in this volume represent international expertise, consolidating detailed information on both conventional and new methods.
  • Applications of Variational Inequalities in Stochastic Control

    • 1st Edition
    • Volume 12
    • A. Bensoussan + 1 more
    • English
  • Probabilities and Potential, B

    Theory of Martingales
    • 1st Edition
    • Volume 72
    • C. Dellacherie + 1 more
    • English
  • Stochastic Control by Functional Analysis Methods

    • 1st Edition
    • Volume 11
    • A. Bensoussan
    • English
  • Probabilities and Potential, C

    Potential Theory for Discrete and Continuous Semigroups
    • 1st Edition
    • Volume 151
    • C. Dellacherie + 1 more
    • English
    This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of continuous functions, and the integral representation in compact convex sets. The third chapter presents new or little-known results, with the aim of illustrating the effectiveness of capacitary methods in the most varied fields. The last two chapters are concerned with the theory of resolvents.The fourth and last part of the English edition will be devoted to the theory of Markov processes.
  • Statistical Methods in the Atmospheric Sciences

    • 3rd Edition
    • Volume 100
    • Daniel S. Wilks
    • English
    Statistical Methods in the Atmospheric Sciences, Third Edition, explains the latest statistical methods used to describe, analyze, test, and forecast atmospheric data. This revised and expanded text is intended to help students understand and communicate what their data sets have to say, or to make sense of the scientific literature in meteorology, climatology, and related disciplines. In this new edition, what was a single chapter on multivariate statistics has been expanded to a full six chapters on this important topic. Other chapters have also been revised and cover exploratory data analysis, probability distributions, hypothesis testing, statistical weather forecasting, forecast verification, and time series analysis. There is now an expanded treatment of resampling tests and key analysis techniques, an updated discussion on ensemble forecasting, and a detailed chapter on forecast verification. In addition, the book includes new sections on maximum likelihood and on statistical simulation and contains current references to original research. Students will benefit from pedagogical features including worked examples, end-of-chapter exercises with separate solutions, and numerous illustrations and equations. This book will be of interest to researchers and students in the atmospheric sciences, including meteorology, climatology, and other geophysical disciplines.
  • Practical Business Statistics, Instructor Solutions Manual (e-only)

    • 1st Edition
    • Andrew F. Siegel
    • English
    Practical Business Statistics is a conceptual and definitive guide to managerial statistics that masterfully maintains mathematical correctness. The book aims to help users learn to analyze and process data with uncertainty, while encouraging readers to use practical computer applications. The book is divided into 18 chapters, all of which follow a uniform presentation outline: starting with an overview that explains why the subject matter is important to business and concluding with a comprehensive summary, with keywords, questions, problems, database exercises and projects. The book features the following concepts of business statistics: o The role of statistics in business o Classification of data sets o Interpretation of typical values and percentiles o Variability and probability o Working with uncertain numbers o Random sampling o Confidence intervals o Hypothesis testing o Correlation and regression o Time series o ANOVA o Ordinal data and non-normal distributions o Chi-square and managing variations The book presents information in a lively, user -friendly style, while maintaining technical accuracy. The text also features excellent examples with real-world data relating to the functional areas of business: finance, accounting, and marketing. Students in business and management statistics courses, quantitative methods in management, and analytics will find this book an excellent reference for learning. Business managers and lecturers will also find this book invaluable.