## Advanced Probability Theory

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Following is the list of comprehensive topics in which we offer the quality solutions

- Set theory
- Logics
- Techniques of proof
- Real and complex numbers
- Sequences
- Functions
- Metric spaces
- Notions of limits and convergence
- Continuity
- Differentiation and integration
- Probability concepts in a measure theoretic setting
- Probability spaces
- Random variables
- Expected value
- Conditional probability and expectation
- Construction of probability spaces with emphasis on stochastic processes
- Operator methods in probability
- Generating functions
- Binomial & Poisson Distribution
- Probability distributions – Normal
- Binomial, Poisson
- Hyper geometric
- Moment generating functions
- Laplace transforms and characteristic functions