A Few Key Probability Theory Results

The materials presented in this book are undeniably technical in nature. We established numerous theoretical conclusions by relying on classical probability theory results. Although these conclusions are well-known, many of us often struggle to recall the exact details. Notably, these conclusions are sometimes quoted from papers or books without specifying their applicability to a given context, making it challenging to ensure that the required conditions are met. Chapter 17 compiles some of these cited conclusions from the previous chapters to facilitate reference and ensure clarity regarding their specific contexts.