Empirical distribution function

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Related lectures (30)

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Central Limit Theorem: Empirical Mean

Explores the convergence of empirical mean distributions towards Gaussian distributions, focusing on the Central Limit Theorem.

Weibull Model: Random Data

Explores the Weibull model's application to random data and its significance in analyzing material strength and failure probability.

Price Returns Analysis

Covers the analysis of heavy-tailed price returns and clustered volatility in financial data.

Martingales and Brownian Motion: Reflection Principle

Explores the reflection principle in martingales and Brownian motion, simplifying probability calculations.

Complement: Convergence in Distribution

Explores convergence in distribution of random variables and characteristic functions.

Discrete Random Variables

Covers properties and transformations of discrete random variables, focusing on PMF and expectation.

Random Variables: Expectation and Independence

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

Likelihood Ratio Tests: Optimality and Extensions

Covers Likelihood Ratio Tests, their optimality, and extensions in hypothesis testing, including Wilks' Theorem and the relationship with Confidence Intervals.

Stellar Systems Dynamics

Explores stellar systems dynamics, covering models, equations, and velocity distributions in spherical and cylindrical coordinates.

Stellar Orbits: Lindblad Resonances and Collisionless Boltzmann Equation

Explores weak bars, resonances, and equilibria in stellar systems.