Concept

Probability density function

Related lectures (30)

Introduces random variables, probability distributions, and expected values through practical examples.

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

Information Measures

Covers information measures like entropy and Kullback-Leibler divergence.

Advanced Probabilities: Random Variables & Expected Values

Explores advanced probabilities, random variables, and expected values, with practical examples and quizzes to reinforce learning.

Continuous Random Variables

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

Normal Distribution: Properties and Calculations

Covers the normal distribution, including its properties and calculations.

Information Measures

Covers information measures like entropy, Kullback-Leibler divergence, and data processing inequality, along with probability kernels and mutual information.

Conditional Density and Expectation

Covers conditional density, independence of random variables, expectation, and variance calculation.

Propagation of Uncertainty: Probability Density Function

Covers the propagation of uncertainty through the generation of probability density functions.

Generating Functions: Properties and Applications

Explores generating functions, Laplace transform, and their role in probability distributions.

Probability Distributions in Environmental Studies

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

Linear Regression: Theory and Applications

Covers the theory and practical applications of linear regression.

Continuous Random Variables: Basics

Explores continuous random variables, cdf, pdf, convolution, and sum of dice.

Quantum Chemistry

Covers quantum chemistry topics such as tunneling, wave packets, and harmonic oscillators.

Astrophysical Fluids & Plasmas

Explores astrophysical fluids, plasmas, MHD, turbulence, and plasma oscillations, including Faraday rotation for measuring cosmic magnetic fields.

Signal Processing: Filter Synthesis and Random Variables

Explores filter synthesis methods and the role of random variables in measurement systems.

Air Pollution Analysis

Explores air pollution analysis using wind data, probability distributions, and trajectory models for air quality assessment.

Statistics: Random Variables and Probability Density Functions

Introduces random variables, probability density functions, and Gaussian distribution in statistics.

Transformations of Joint Densities

Covers the transformations of joint continuous densities and their implications on probability distributions.

Quantum Physics I

Covers the basics of quantum physics, including wave packet dynamics and probability density functions.