The book you are looking for is titled " The Simple and Infinite Joy of Mathematical Statistics
Any high-quality PDF of this book begins with the axiomatic foundation. The joy here is realizing that the three Kolmogorov axioms (non-negativity, unit measure, and countable additivity) are all you need to derive every rule of probability you have ever used. The book you are looking for is titled
: Convergence of random variables, order statistics, Maximum Likelihood Estimation (MLE), pivotal quantities, method of moments, and hypothesis testing (including Wilks’ Theorem). Official Video Lectures Official Video Lectures : The author provides a
: The author provides a complete set of companion lectures on her YouTube channel, A Probability Space , which many students use alongside the text. PDF Accessibility A Probability Space
: Listings can be found on AbeBooks and Thriftbooks.