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MAST 671

Probability Theory

3 credits · Graduate

Fall 2026 · Advanced Probability

Topics

  • Probability spaces and random variables
  • Conditional probability and conditional expectation
  • Generating and characteristic functions
  • Limit theorems
  • Random walks and branching processes
  • Modes of convergence
  • Martingales
  • Martingale convergence and optional stopping

Readings

  • Listed textbook (requirement not stated): G. Grimmett and D. Stirzaker. Probability and Random Processes.
    Listed reading
Fall 2025 · STAT 449

Readings

  • Probability and Random Processes, by G. Grimmett and D. Stirzaker.
    Listed reading; requirement unspecified
Fall 2024 · STAT 449

Readings

  • Probability and Random Processes, by G. R. Grimmet and D. R. Stirzaker.
    Listed reading; requirement unspecified
Fall 2023 · STAT 449

Readings

  • Probability and Random Processes, by G. R. Grimmet and D. R. Stirzaker.
    Listed reading; requirement unspecified
Fall 2022 · STAT 449

Readings

  • Probability and Random Processes, by G. R. Grimmet and D. R. Stirzaker.
    Listed reading; requirement unspecified
Fall 2021 · STAT 449

Readings

  • Probability and Random Processes, by G. R. Grimmet and D. R. Stirzaker.
    Listed reading; requirement unspecified
Sources