Theory of Probability and Statistics: Solved Problems and Exercises
Apr 2027 · Academic Press
Ebook
420
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About this ebook
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. - Introduces a clear and didactic understanding of essential concepts in statistics, including probability rules, conditional probability, Bayes' Theorem, and random experiment outcomes - Includes numerous illustrations of theoretical concepts, worked problems and examples, and step-by-step guides, which provide explanations and additional context - Aligns with commonly offered upper-level courses in statistics, applied mathematics, and related topics in the field - Serves as a valuable resource for students and instructors and as solid foundational material with a unified approach for early-stage researchers - Provides support for users with ancillary content, including an Instructor's Manual, data sets, and interactive online resources
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 ...
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About the author
Dr. Humbat Aliyev is an Associate Professor of Mathematics and has served both as a full-time faculty member and as a visiting professor and researcher at universities in several countries, including the Russian Federation and Kazakhstan. He has served as a visiting professor in various countries, including Malaysia and Turkey. For the past 35 years, Dr. Aliyev has been actively engaged in both research and teaching. His primary research areas include mechanics, differential equations, and probability theory. He is widely regarded as a distinguished scholar, dedicated educator, and productive researcher. Over his 30-year career in education, he authored more than ten books across a range of subjects. Dr. Aliyev is a pioneering scientist and distinguished educator who has had a profound impact through his long-standing service, steadfast commitment, and tireless dedication.Dr. Rakib F. Efendiev is a Professor of Mathematics at Baku Engineering University with a PhD in Mathematical Analysis and Doctor of Science in Differential Equations. His research spans spectral theory, inverse problems, differential operators, and applied mathematical modeling, with publications in internationally indexed journals such as Boundary Value Problems and Partial Differential Equations in Applied Mathematics. He has participated in and organized numerous international conferences and has served as a reviewer for Mathematical Reviews and Zentralblatt MATH. Alongside his research activity, Dr. Efendiev has over three decades of teaching experience, delivering core courses in probability, statistics, calculus, and differential equations. His pedagogical focus emphasizes clarity, rigor, and problem-based learning, which directly informs the structure and methodology of this book.Dr. Praveen Agarwal earned his Ph. D. in Mathematics at the Malviya National Institute of Technology (MNIT) in Jaipur, India, in 2006. Recently, Prof. Agarwal has been listed as the World's Top 2% Scientist from 2020-2025, released by Stanford University. In the 2025 ranking of best scientists worldwide announced by Research.com, he ranked 13th at the India level and 1297th worldwide in Mathematics. Dr. Agarwal has been actively involved in research as well as pedagogical activities for the last 24 years. His major research interests include Special Functions, Fractional Calculus, Numerical Analysis, Differential and Difference Equations, Inequalities, Probability & Statistics, and Fixed Point Theorems. He has published 11 research monographs and edited volumes and more than 405 publications (with almost 100 mathematicians all over the world) in prestigious national and international mathematics journals. Dr. Agarwal worked previously either as a regular faculty or as a visiting professor and scientist in universities in several countries, including India, Germany, Turkey, South Korea, UK, Russia, Malaysia and Thailand. He has served over 50 Journals in the capacity of an Editor/Honorary Editor, or Associate Editor, and published 15 books as an editor.
Dr. Humbat Aliyev is an Associate Professor of Mathematics and has served both as a full-time faculty member and as a visiting professor and researcher at universities in several countries, including the Russian Federation and Kazakhstan. He has served as a visiting professor in various countries...
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