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: Random variables, mathematical expectations, variance, and characteristic functions.
"Mathematical Statistics" by Pramod Kumar Vitthal is a highly recommended textbook for students and professionals seeking to deepen their understanding of statistical concepts. By providing a comprehensive treatment of statistical theory and practical applications, the book is an invaluable resource for data analysis and statistical inference. While accessing a free PDF version of the book may seem convenient, readers are advised to exercise caution and respect the author's intellectual property rights.
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These topics rely heavily on the same mathematical foundations—probability inequalities, concentration results, and asymptotic approximations—yet adapt them to new problem settings.
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