Do not just read the solved proofs. Grab a notepad and derive the Moment Generating Functions and properties of distributions by hand.
Which would you like?
Continuous distributions: Normal, Exponential, Gamma, and Beta distributions. The Central Limit Theorem and law of large numbers. 4. Sampling Theory and Estimation Mathematical Statistics By P.r.vittal Pdf Free Download
The text is divided into two primary sections: Mathematical Statistics (theoretical foundations) and Statistical Methods (applied techniques). Do not just read the solved proofs