Two theorems are presented which are useful in making inferences about the univariate normal distribution. Some applications of the theorems are given. It is thought that the theorems will prove ...

This project demonstrates the Central Limit Theorem (CLT)—a fundamental concept in statistics that explains why the sampling distribution of the sample mean approximates a normal distribution, even ...

This project is a Jupyter Notebook demonstrating the Central Limit Theorem. It visually proves that even if a population's distribution is not normal (e.g., right-skewed or bimodal), the distribution ...

For random samples of size n obtained from p-variate normal distributions, we consider the classical likelihood ratio tests (LRT) for their means and covariance matrices in the high-dimensional ...

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