Explain the Law of Large Numbers (LLN) and the Central Limit Theorem (CLT). Discuss their core principles, key differences, and provide a specific example of their application in finance.

在量化金融中，理解基础统计学概念至关重要。请解释大数定律 (Law of Large Numbers, LLN) 和中心极限定理 (Central Limit Theorem, CLT)。讨论它们的核心原理、主要区别，并提供一个它们在金融领域应用的具体例子。