Aim of the experiment

The experiment aims to :

• Introduce the concept of convergence for sequences of random variables.
• Explain different types of convergence with intuitive understanding and mathematical definitions for each type
  • Almost Sure Convergence
  • Convergence in Probability
  • Convergence in Distribution
  • Mean Squared Convergence
• Discuss the relationships and implications between different types of convergence.
• Discuss the Weak Law of Large Numbers.
• Emperically verify and visually demonstrate the convergence behaviour of different types of convergences and the weak law of large numbers.