Morris H. DeGroot’s Probability and Statistics is a classic work in the field of probability and statistics, covering numerous topics related to the subject and the various theories associated with it. Published in the late 1970s and still relevant today, it is one of the most influential books in the field of data science and many of the concepts, theories and methods taught within it are still widely used today.
The book is divided into two main parts with several sub-sections. The first part of the book is dedicated to probability theory, covering topics such as foundations of probability theory, random variables and stochastic processes, and probability inequalities. The second section focuses on statistical principles and methods, with the main topics covered being obtaining data, probability and statistics, univariate and multivariate data analysis, and statistical inference.
In the probability section, DeGroot provides a comprehensive introduction to the core principles and ideas of modern probability, such as random variables and their probability distributions. He also covers important concepts such as Bayes theorem, and various probability inequalities, such as Markov’s and Chebyshev’s inequalties. Other topics covered in this part of the book include random walks, Martingales, and Brownian motion.
In the section on statistics, DeGroot focuses on the collection, analysis, and inference of data. He introduces the principles and methods of statistical inference, discussing topics such as sampling theory and estimation theory as well as techniques of statisticalistic simulation. Other topics include regression, analysis of variance, discrete data analysis, and nonparametric methods.
Throughout the book, DeGroot provides a clear, easy to follow explanation of the key concepts in probability and statistics. He also presents a wealth of useful examples to help the reader better understand and apply the topics. As a result, this book is an excellent choice for anyone looking to gain a deep understanding of probability and statistics.
In addition to being a great work on probability and statistics, Probability and Statistics by Morris H. DeGroot is also renowned as an excellent book on data science. As the field of data science has grown in recent years, so has the importance of DeGroots’ book in understanding and applying the data science principles and methods. As a result, this book remains an essential part of any data scientist’s library.
Overall, Probability and Statistics by Morris H. DeGroot is one of the most influential books on probability and statistics, and one that should not be overlooked. From its introduction of basic concepts in probability and statistics to its application of more advanced theories and methods, this book has a tremendous impact on data science and is one of the most highly recommended books for anyone serious about the field.
