A modern introduction to probability and statistics [book review]
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Abstraction: Critical review of Upton classical probability statistics textbook
Key points:
- "A Modern Introduction to Probability and Statistics" by Graham Upton (based on earlier Understanding Statistics with Ian Cook); only concession to "computer age" is R commands at chapter ends—no computational statistics coverage
- Typo on p87: variance of sum of two correlated random variables is missing the factor 2 in front of the covariance term (corrected on p97)
- Reviewer criticizes confusion between samples and populations in early chapters and absence of critical perspective on p-values or point null hypotheses
- Four-page Bayesian chapter at end is deemed superfluous; reviewer's experience is rushed Bayesian introductions produce rejection of Bayesian principles
- Distribution tables included as fallback "in case the computer is not available"; CLT introduced before LLN; no joint Normal distribution density defined
Connections: Probability Theory · Statistics · Bayesian Statistics
Source: https://www.r-bloggers.com/2025/07/a-modern-introduction-to-probability-and-statistics-book-review/