Books in Probability theory and stochastic processes

An Introduction to Stochastic Modeling

5th Edition
January 2, 2026
Gabriel Lord + 1 more
English

An Introduction to Stochastic Modeling, Fifth Edition bridges the gap between basic probability and an intermediate level course in stochastic processes, serving as the foundation for either a one-semester or two-semester course in stochastic processes for students familiar with elementary probability theory and calculus. The objectives are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide an integrated treatment of theory, applications and practical implementation. A well-regarded resource for many years, the text is an ideal foundation for a broad range of students.

Statistics in Industry and Government

1st Edition
Volume 53
September 1, 2025
Ravindra Khattree + 2 more
English
Hardback
9 7 8 0 4 4 3 3 1 4 2 2 3
eBook
9 7 8 0 4 4 3 3 1 4 2 3 0

Statistics plays a central role in industrial quality control and high-class quality maintenance in products. Statistical designs and data collection are central also in government planning and program implementation. These two important aspects of statistical theory and applications will be of focus of this volume. We aim to cover as many applications that use statistics as an underlying tool in bringing the best quality products and industrial designs. Indian Statistical Institute played an important role in developing quality control measures during the 1940s-70s due to C.R. Rao and those methods helped to train several statistical industries and engineers across the world, for example, Genichi Taguchi of Japan, etc who revolutionized industrial quality in Japan. There are several such examples.

Stochastic Theory of Service Systems

1st Edition
May 23, 2025
L. Kosten
I. N. Sneddon + 1 more
English
eBook
9 7 8 1 4 8 3 1 5 0 5 8 1

International Series of Monographs in Pure and Applied Mathematics, Volume 103: Stochastic Theory of Service Systems focuses on the principles, methodologies, and approaches involved in the stochastic theory of service systems. The publication first examines the general description of service systems, characteristics of the arrival process, standard cases, and the distribution of waiting-times in the system M/M/c-delay. Discussions focus on "random" condition, probability of delay and average waiting-time for the system M/M/c-delay, Engset formula, and probability of blocking for the system M/M/c-blocking. The text then examines general holding-time assumption, non-stationary behavior, and priority. Topics include pre-emptive priority, transient behavior of the system M/G/1-delay, Markov process with a finite number of states, and hyperexponential distributions. The manuscript takes a look at simulation, arrival and service in batches, and restricted availability, including approximate determination of probabilities of blocking, "unscheduled ferry problem", principles of roulette simulation, and implementation of randomness. The publication is a dependable source material for researchers interested in the stochastic theory of service systems.

Markov Chains: Theory and Applications

1st Edition
Volume 52
April 15, 2025
C.R. Rao + 1 more
English
Hardback
9 7 8 0 4 4 3 2 9 5 7 6 8
eBook
9 7 8 0 4 4 3 2 9 5 7 7 5

Markov Chains: Theory and Applications, Volume 52 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Markov Chain Estimation, Approximation, and Aggregation for Average Reward Markov Decision Processes and Reinforcement Learning, Ladder processes: symmetric functions and semigroups, Continuous-time Markov Chains and Models: Study via Forward Kolmogorov System, Analysis of Data Following Finite-State Continuous-Time Markov Chains, Computational applications of poverty measurement through Markov model for income classes, and more.Other sections cover Estimation and calibration of continuous time Markov chains, Additive High-Order Markov Chains, The role of the random-product technique in the theory of Markov chains on a countable state space., On estimation problems based on type I Longla copulas, and Long time behavior of continuous time Markov chains.

Probability Models

1st Edition
Volume 51
September 27, 2024
Arni S.R. Srinivasa Rao + 2 more
English
Hardback
9 7 8 0 4 4 3 2 9 3 2 8 3
eBook
9 7 8 0 4 4 3 2 9 3 2 9 0

Probability Models, Volume 51 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on Stein’s methods, Probabilities and thermodynamics third law, Random Matrix Theory, General tools for understanding fluctuations of random variables, An approximation scheme to compute the Fisher-Rao distance between multivariate normal distributions, Probability Models Applied to Reliability and Availability Engineering, Backward stochastic differential equation– Stochastic optimization theory and viscous solution of HJB equation, and much more.Additional chapters cover Probability Models in Machine Learning, The recursive stochastic algorithm, randomized urn models and response-adaptive randomization in clinical trials, Random matrix theory: local laws and applications, KOO methods and their high-dimensional consistencies in some multivariate models, Fourteen Lectures on Inference for Stochastic Processes, and A multivariate cumulative damage model and some applications.

An Introduction to Probability and Statistical Inference

3rd Edition
May 16, 2024
George G. Roussas
English
Paperback
9 7 8 0 4 4 3 1 8 7 2 0 9
eBook
9 7 8 0 4 4 3 1 8 7 2 1 6

An Introduction to Probability and Statistical Inference, Third Edition guides the reader through probability models and statistical methods to develop critical-thinking skills. Written by award-winning author George Roussas, this valuable text introduces a thinking process to help users obtain the best solution to a posed question or situation and provides a plethora of examples and exercises to illustrate applying statistical methods to different situations.

Modeling and Analysis of Longitudinal Data

1st Edition
Volume 50
February 7, 2024
Arni S.R. Srinivasa Rao + 2 more
English
Hardback
9 7 8 0 4 4 3 1 3 6 5 1 1
eBook
9 7 8 0 4 4 3 1 3 6 5 2 8

Longitudinal Data Analysis, Volume 50 in the Handbook of Statistics series covers how data consists of a series of repeated observations of the same subjects over an extended time frame and is thus useful for measuring change. Such studies and the data arise in a variety of fields, such as health sciences, genomic studies, experimental physics, sociology, sports and student enrollment in universities. For example, in health studies, intra-subject correlation of responses must be accounted for, covariates vary with time, and bias can arise if patients drop out of the study.

Artificial Intelligence

1st Edition
Volume 49
August 25, 2023
Arni S.R. Srinivasa Rao + 2 more
English
Hardback
9 7 8 0 4 4 3 1 3 7 6 3 1
eBook
9 7 8 0 4 4 3 1 3 7 6 4 8

Artificial Intelligence, Volume 49 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics. Chapters in this new release include AI Teacher-Student based Adaptive Structural Deep Learning Model and Its Estimating Uncertainty of Image Data, Machine-derived Intelligence: Computations Beyond the Null Hypothesis, Object oriented basis of artificial intelligence methodologies I in Judicial Systems in India, Artificial Intelligence in Systems Biology, Machine-Learning in Geometry and Physics, Innovation and Machine Learning: Crowdsourcing Open-Source Natural Language Processing (NLP) Algorithms to Advance Public Health Surveillance, and more. Other chapters cover Learning and identity testing of Markov chains, Data privacy for machine learning and statistics, and The interface between AI and Mathematics.

Introduction to Probability Models

13th Edition
June 30, 2023
Sheldon M. Ross
English
Paperback
9 7 8 0 4 4 3 1 8 7 6 1 2
eBook
9 7 8 0 4 4 3 1 8 7 6 0 5

*Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner, 2024*A trusted market leader for four decades, Sheldon Ross’s Introduction to Probability Models offers a comprehensive foundation of this key subject with applications across engineering, computer science, management science, the physical and social sciences and operations research. Through its hallmark exercises and real examples, this valuable course textIntroduction to Probability Models provides the reader with a comprehensive course in the subject, from foundations to advanced topics.

Deep Learning

1st Edition
Volume 48
February 28, 2023
Arni S.R. Srinivasa Rao + 2 more
English
Hardback
9 7 8 0 4 4 3 1 8 4 3 0 7
eBook
9 7 8 0 4 4 3 1 8 4 3 1 4

Deep Learning, Volume 48 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Generative Adversarial Networks for Biometric Synthesis, Data Science and Pattern Recognition, Facial Data Analysis, Deep Learning in Electronics, Pattern Recognition, Computer Vision and Image Processing, Mechanical Systems, Crop Technology and Weather, Manipulating Faces for Identity Theft via Morphing and Deepfake, Biomedical Engineering, and more.

Life Sciences

Physical Sciences & Engineering

Social Sciences & Humanities

Health