Lectures related to Probability and Statistics

Probability Distributions in Environmental Studies

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

Continuous Random Variables

Covers continuous random variables, probability density functions, and distributions, with practical examples.

Probability and Statistics: Fundamentals

Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.

Convergence of Random Variables

Explores different modes of convergence for random variables.

Random Variables: Expectation and Independence

Explores random variables, expectation, and independence in probability theory.

Calculations of Expectation

Covers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.

Conditional Density and Expectation

Explores conditional density, expectations, and independence of random variables with practical examples.

Modes of Convergence

Explores modes of convergence in probability and statistics, illustrating concepts with examples and discussing the continuity theorem.