Theoretical / proof-based
Probability · Undergraduate · Statistics
Topics
Rigorous probability
- Formal probability spaces and sigma-algebras (introduction)
- Proofs of basic probability laws
- Conditional probability as a measure-theoretic concept (intro)
- Independence: definitions and counterexamples
- Borel–Cantelli lemmas (optional)
Distribution theory
- Transformations of random variables
- Convolutions and sums of independent variables
- Order statistics (introduction)
- Multivariate normal distribution: properties and proofs
- Convergence in probability and in distribution
- Proof sketches of weak law and CLT
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$60.00 · 60 min · Undergraduate · Online ($60/hr)
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