Bài giảng Toán trong công nghệ - Chapter 7: Sums of Random Variables - Nguyễn Linh Trung

Chapter 7: Sums of Random Variables Sums of Random Variables • Mean and variance • PDF of sums of independent RVs • Laws of large numbers • Central limit theorems Mean and Variance PDF of sums of independent RVs Example Sample Mean Sample Mean Weak law of large numbers Weak law of large numbers Strong law of large numbers Central Limit Theorem Proof of Central Limit Theorem Proof of Central Limit Theorem Central Limit Theorem Central Limit Theorem Example