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"Mathematical Statistics" by Pramod Kumar Vitthal is a comprehensive textbook that covers the fundamental principles of mathematical statistics. The book provides a rigorous treatment of statistical theory, including probability, random variables, statistical inference, and hypothesis testing. Written in a clear and concise manner, the textbook is designed to cater to the needs of students and researchers in various fields, including engineering, economics, and social sciences. You can often find extensive previews or older

Key Concepts in Mathematical Statistics

| Model | Parameter(s) | Typical Setting | |-------|--------------|-----------------| | Bernoulli | (p\in(0,1)) | Binary outcomes | | Binomial | ((n,p)) | Number of successes in (n) trials | | Normal | ((\mu,\sigma^2)) | Continuous measurements | | Exponential family | (\theta) (canonical) | Wide range; includes Poisson, Gamma, etc. | | Non‑parametric | None (or infinite‑dimensional) | Distribution-free methods | and social sciences.