Applied Probability and Stochastic Processes: Tutorial 02

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Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.

Explores the construction of Brownian motion with continuous trajectories and the dimension of its zero set.

Covers random walks on a lattice, focusing on return probabilities and their dependence on dimensionality.

Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.

Covers the normal distribution, including its properties and calculations.

Covers the properties of the symmetric random walk in stochastic processes.

Covers stochastic models for communications, focusing on random variables, Markov chains, Poisson processes, and probability calculations.

Covers examples of continuous-time stochastic processes in communications.

Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.