: Probability, random variables, mathematical expectations, and characteristic functions.
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| Category | Resource | Description | | :--- | :--- | :--- | | | "A Concise Course in Statistical Inference" | A free eBook from Springer covering a wide range of statistical inference topics. | | | Online Statistics Education | An open-source textbook and interactive resource from Rice University, University of Houston Clear Lake, and Tufts University. | | Video Lectures | "Mathematical Statistics" by NPTEL | A comprehensive video course from the National Programme on Technology Enhanced Learning (India), designed for university students. | | | "Statistical Inference" by Brian Caffo (Johns Hopkins University) | A series of Coursera videos that are part of the renowned Data Science Specialization. |
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Mathematical Statistics " by is a staple textbook for undergraduate and graduate students in Indian universities, finding a complete, legal free PDF download of the entire copyrighted book is generally not possible as it is published by Margham Publications .
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Small-sample tests using t-tests, F-tests, and Chi-Square tests for goodness of fit and independence of attributes. 8. Non-Parametric Tests | | | Online Statistics Education | An
The layout and problem selection align closely with university syllabi and competitive examination patterns, helping students prepare effectively for tests.
Classical, empirical, and axiomatic definitions of probability. Addition and multiplication theorems. Conditional probability and independence of events. Bayes’ Theorem and its practical applications. 2. Random Variables and Distribution Functions Discrete and continuous random variables.