This comprehensive text covers advanced topics in mathematical statistics and probability. It is widely referenced in university undergraduate and postgraduate statistics courses.
The primary topics detailed throughout the book include:
- Probability Foundations: Fundamental theorems, random variables, and expectation.
- Distribution Theory: Discrete and continuous probability distributions, along with joint and sampling distributions.
- Statistical Inference: Parameter estimation (point and interval estimation) and the formal Cramรฉr-Rao inequality framework.
- Hypothesis Testing: Parametric tests of significance alongside comprehensive non-parametric methods.
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