Probability and Statistics by Evans & Rosenthal
Probability and Statistics - Table of Contents
1. Probability Models
2. Random Variables and Distributions
3. Expectation
4. Sampling Distributions and Limits
5. Statistical Inference
6. Likelihood Inference
7. Bayesian Inference
8. Optimal Inferences
9. Model Checking
10. Relationships Among Variables
11. Advanced Topic — Stochastic Processes
A. Mathematical Background
B. Computations
C. Common Distributions
D. Tables
E. Answers to Odd-Numbered Exercises
What You Will Learn in Probability and Statistics
"Probability and Statistics: The Science of Uncertainty" by Michael J. Evans and Jeffrey S. Rosenthal is a comprehensive textbook that explains "probability theory", "statistical inference", and the science of uncertainty. It combines mathematical foundations with practical applications, helping learners understand how randomness and data shape decision making. The book covers core topics such as probability distributions, random variables, expectation, and hypothesis testing in a structured and accessible way. It is suitable for students who want both theoretical understanding and practical statistical skills.
A key feature of the book is its emphasis on computational methods and real-world examples. Readers learn how statistical models apply to data analysis and scientific problems. The textbook also introduces both frequentist and Bayesian approaches to inference, providing a broad perspective on statistical reasoning. By integrating theory with applications, it supports learning for students in mathematics, science, and engineering disciplines.
Written by Michael J. Evans and Jeffrey S. Rosenthal, the book is widely used in undergraduate statistics courses. It helps learners build strong foundations in "data analysis" and probabilistic thinking. With clear explanations and practical examples, the textbook prepares students for advanced studies and real-world quantitative problem solving. It is a valuable resource for understanding how statistics supports scientific inquiry and decision making.
Book Details & Specifications
Title:
Probability and Statistics by Evans & Rosenthal
Publisher:
W. H. Freeman & Co.
Year:
2023
Pages:
774
Type:
PDF
Language:
English
ISBN-10 #:
1429224622
ISBN-13 #:
978-1429224628
License:
External Educational Resource
Amazon:
Amazon
About the Author: Michael J. Evans
The author Michael J. Evans
is a Canadian statistician and professor at the "University of Toronto". He earned his PhD in statistics from the same university and specializes in "probability", "statistics", and "statistical inference". His research focuses on theoretical and practical aspects of data analysis and quantitative methods in science. "Jeffrey S. Rosenthal" is also a professor at the "University of Toronto". He studied mathematics and earned his PhD from "Harvard University". His expertise includes "Markov chain Monte Carlo", probability models, and computational statistics, helping explain complex ideas in accessible ways for students and researchers.
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