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.

Doing Bayesian Data Analysis
A Tutorial With R, Stan, brms, and the tidyverse
3rd Edition
John K. Kruschke + 1 more
English
Doing Bayesian Data Analysis: A Tutorial with R, Stan, brms, and the tidyverse, Third Edition, provides a carefully scaffolded tutorial from beginning concepts to advanced, realistic data analyses. The book uses a proven sequence of topics unique to Doing Bayesian Data Analysis. The first part covers foundational concepts of statistical models, probability, Bayesian reasoning, and computer programming in R and the tidyverse. The second part introduces all the concepts and methods of Bayesian data analysis, including the Stan modeling language, by using the simplest possible data structures and statistical models. The third part covers the generalized linear model, including multilevel (a.k.a. hierarchical) versions of regression and analysis of variance, for a variety of data types (metric, ordinal, nominal, dichotomous, count), using the convenient computer package called brms. Every concept and case is illustrated with detailed examples, and all computer code is available at the book’s website. This book is intended for self-learners or classroom learning, for first-year graduate students, advanced undergraduates, and professionals. The methods apply to any field, including social sciences, biological sciences, and physical sciences, for any setting, including academia, government, business, and industry.
Theory of Probability and Statistics
Solved Problems and Exercises
1st Edition
Humbat Aliyev + 2 more
English
Theory of Probability and Statistics: Solved Problems and Exercises is a comprehensive and practice-oriented textbook designed for undergraduate and graduate students seeking a clear, rigorous, and intuitive understanding of probability and statistical inference. Unlike many existing titles that either lean too heavily on theory or focus mostly on computations, this book bridges the gap by integrating conceptual foundations with problem-solving techniques and real-world applications. Each chapter progresses from essential theory to fully-worked examples, followed by a rich set of exercises that reinforce learning and promote mastery.Theory of Probability and Statistics: Solved Problems and Exercises offers significant benefits to its readers: streamlined explanations of fundamental concepts, step-by-step derivations, visual interpretations where helpful, and numerous solved problems that demonstrate how abstract principles translate into practical statistical tools. Topics span classical probability, random variables, distributions, limit theorems, estimation, hypothesis testing, regression, non-parametric methods, and modern extensions relevant to data science. This book provides a fresh, accessible approach that maintains mathematical rigor while remaining student-friendly, making it ideal for university courses, self-study, and exam preparation. By blending theory with extensive solved exercises, it fills a growing demand for a unified, application-driven text tailored to contemporary learners.
Discrete Choices
A Comprehensive Guide to Distributions and Inference for Categorical Data
1st Edition
Jiju Gillariose + 2 more
English
Discrete Choices: A Comprehensive Guide to Distributions and Inference for Categorical Data provides a unified and modern treatment of probability, inference, and modeling for categorical and discrete data. Although categorical outcomes are ubiquitous across statistics, data science, economics, epidemiology, and the social sciences, existing resources often treat these topics in fragmented ways, separating probability theory, inference, diagnostics, and applications into distinct texts. This book addresses that gap by presenting a coherent framework that begins with probability foundations and sampling theory, develops classical and hierarchical discrete distributions, and advances to modern likelihood-based and Bayesian inference. Core topics include Bernoulli, Binomial, Multinomial, and Poisson models; compound distributions such as the Beta–Binomial and Dirichlet–Multinomia... resampling methods; model diagnostics; and principled model selection. Advanced chapters extend this framework to high-dimensional categorical data, compositional data, network and relational structures, causal inference with multi-valued treatments, and fairness and bias diagnostics in categorical prediction. Extensive case studies and interactive hands-on data labs illustrate real-world applications in health, the social sciences, marketing, and text analytics, emphasizing reproducible and applied workflows.Balancing theoretical rigor with practical relevance, Discrete Choices: A Comprehensive Guide to Distributions and Inference for Categorical Data is suitable both as a graduate-level textbook and as a professional reference for researchers and practitioners working with discrete data.
Stochastic Analysis of Mixed Fractional Gaussian Processes
1st Edition
Yuliya Mishura + 1 more
English
Advances in Independent Component Analysis and Learning Machines
1st Edition
Jorma Laaksonen + 3 more
English
Integrated Population Biology and Modeling, Part A
1st Edition
Volume 39
English
Introduction to Probability and Statistics for Engineers and Scientists
6th Edition
Sheldon M. Ross
English
Stochastic Processes: Modeling and Simulation
1st Edition
Volume 21
D N Shanbhag
English
Practical Business Statistics
8th Edition
Andrew F. Siegel + 1 more
English
Fundamentals of Advanced Mathematics V2
Field extensions, topology and topological vector spaces, functional spaces, and sheaves
1st Edition
Henri Bourles
English
Fundamentals of Advanced Mathematics V3
1st Edition
Henri Bourles
English
Fundamentals of Statistics
1st Edition
C. R. Jones + 1 more
English
Simulation of Stochastic Processes with Given Accuracy and Reliability
1st Edition
Oleksandr O. Pogorilyak + 3 more
English
Probability and Random Processes
With Applications to Signal Processing and Communications
2nd Edition
Scott Miller + 1 more
English
Epidemiology and Medical Statistics
1st Edition
Volume 27
English
Bayesian Thinking, Modeling and Computation
1st Edition
Volume 25
English
Stochastic Dynamics. Modeling Solute Transport in Porous Media
1st Edition
Volume 44
Don Kulasiri + 1 more
English
An Introduction to Probability and Statistical Inference
2nd Edition
George G. Roussas
English
Inequalities and Extremal Problems in Probability and Statistics
Selected Topics
1st Edition
Rustam Ibragimov + 4 more
English
Statistical Methods in the Atmospheric Sciences
3rd Edition
Volume 100
Daniel S. Wilks
English
Sample Surveys: Design, Methods and Applications
1st Edition
Volume 29A
English
An Introduction to Stochastic Orders
1st Edition
Carolina Martinez Riquelme + 2 more
English
Introductory Statistics
4th Edition
Sheldon M. Ross
English
The Spectral Analysis of Time Series
1st Edition
Lambert H. Koopmans
English
Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms
1st Edition
Erich Peter Klement + 1 more
English
Stochastic Differential Equations and Diffusion Processes
1st Edition
Volume 24
S. Watanabe + 1 more
English
Stochastic Calculus for Quantitative Finance
1st Edition
Alexander A Gushchin
English
Stochastic Processes: Theory and Methods
1st Edition
Volume 19
D N Shanbhag
English
Analysis and Probability
1st Edition
Aurel Spataru
English
A New Concept for Tuning Design Weights in Survey Sampling
Jackknifing in Theory and Practice
1st Edition
Stephen A. Sedory + 4 more
English
Laboratory Statistics
Handbook of Formulas and Terms
1st Edition
Anders Kallner
English
Introduction to Robust Estimation and Hypothesis Testing
4th Edition
Rand R. Wilcox
English
Computational Statistics with R
1st Edition
Volume 32
English
Environmental Data Analysis with MatLab
2nd Edition
William Menke + 1 more
English
Essential Statistics, Regression, and Econometrics
2nd Edition
Gary Smith
English
Doing Bayesian Data Analysis
A Tutorial with R, JAGS, and Stan
2nd Edition
John K. Kruschke
English
Data Mining and Data Visualization
1st Edition
Volume 24
English
Handbook of Latent Variable and Related Models
1st Edition
Volume 1
English
Biostatistics and Computer-based Analysis of Health Data Using SAS
1st Edition
Christophe Lalanne + 1 more
English
Statistics for Physical Sciences
An Introduction
1st Edition
Brian Martin
English
Chi-Squared Goodness of Fit Tests with Applications
1st Edition
M.S Nikulin + 2 more
English
Biostatistics
A Guide to Design, Analysis and Discovery
2nd Edition
Ronald N. Forthofer + 2 more
English
Time Series Analysis: Methods and Applications
1st Edition
Volume 30
English
Multiparametric Statistics
1st Edition
Vadim Ivanovich Serdobolskii
English
Machine Learning: Theory and Applications
1st Edition
Volume 31
English
Mathematical Statistics with Applications in R
2nd Edition
Chris P. Tsokos + 1 more
English
The Single Server Queue
2nd Edition
Volume 8
J.W. Cohen
English
Systematic Glossary of the Terminology of Statistical Methods
English/French/Spanish/Russian
1st Edition
I. Paenson
English
Stochastic Analysis
1st Edition
Volume 32
K. Itô
English
Multivariate Analysis: Future Directions 2
1st Edition
Volume 5
C.M. Cuadras + 1 more
English

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health

Books in Statistics and probability

Doing Bayesian Data Analysis

Theory of Probability and Statistics

Discrete Choices

Stochastic Analysis of Mixed Fractional Gaussian Processes

Advances in Independent Component Analysis and Learning Machines

Integrated Population Biology and Modeling, Part A

Introduction to Probability and Statistics for Engineers and Scientists

Stochastic Processes: Modeling and Simulation

Practical Business Statistics

Fundamentals of Advanced Mathematics V2

Fundamentals of Advanced Mathematics V3

Fundamentals of Statistics

Simulation of Stochastic Processes with Given Accuracy and Reliability

Probability and Random Processes

Epidemiology and Medical Statistics

Bayesian Thinking, Modeling and Computation

Stochastic Dynamics. Modeling Solute Transport in Porous Media

An Introduction to Probability and Statistical Inference

Inequalities and Extremal Problems in Probability and Statistics

Statistical Methods in the Atmospheric Sciences

Sample Surveys: Design, Methods and Applications

An Introduction to Stochastic Orders

Introductory Statistics

The Spectral Analysis of Time Series

Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms

Stochastic Differential Equations and Diffusion Processes

Stochastic Calculus for Quantitative Finance

Stochastic Processes: Theory and Methods

Analysis and Probability

A New Concept for Tuning Design Weights in Survey Sampling

Laboratory Statistics

Introduction to Robust Estimation and Hypothesis Testing

Computational Statistics with R

Environmental Data Analysis with MatLab

Essential Statistics, Regression, and Econometrics

Doing Bayesian Data Analysis

Data Mining and Data Visualization

Handbook of Latent Variable and Related Models

Biostatistics and Computer-based Analysis of Health Data Using SAS

Statistics for Physical Sciences

Chi-Squared Goodness of Fit Tests with Applications

Biostatistics

Time Series Analysis: Methods and Applications

Multiparametric Statistics

Machine Learning: Theory and Applications

Mathematical Statistics with Applications in R

The Single Server Queue

Systematic Glossary of the Terminology of Statistical Methods

Stochastic Analysis

Multivariate Analysis: Future Directions 2

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