Lectures related to Bernoulli scheme

Smooth Dynamics: Bernoulli and K Properties

Explores Bernoulli and K properties in smooth dynamics, including equivalence, examples, and implications.

Bernoulli Theorem: Applications

Explores the applications of the Bernoulli theorem in fluid dynamics.

Biclustering & latent variables: statistical analysis of network data

Explores biclustering techniques and latent variables in network data analysis.

Derivability Study: Behavioral Rules and Examples

Explores derivability behavioral rules and examples, including Rolle's theorem and Bernoulli theorem applications.

Derivability on an Interval: Rolle's Theorem

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Parameter Estimation

Discusses parameter estimation, including checks, quality, distribution, and statistical properties of estimates.

Basel Problem: Euler's Proof

Explores Euler's geometric proof for the Basel problem, showing how the series converges through circles and tangents.

Hydrostatics: Pressure, Fluid Mechanics, Cohesion Forces

Delves into hydrostatics, focusing on pressure, fluid mechanics, and cohesion forces in liquids.

Confidence Intervals: Student, Asymptotic Wald

Covers confidence intervals for Gaussian means, Student distribution, and Wald confidence intervals for maximum likelihood estimators.

Confidence Interval for Bernoulli Model Score

Explains how to calculate the confidence interval for the score parameter in the Bernoulli model.

Fluid Mechanics: Pressure, Forces, and Hydrostatics

Covers pressure, forces, hydrostatics, Bernoulli's theorem, and surface tension in fluid mechanics.

Hoeffding's Inequality: Binomial Distribution

Explores Hoeffding's inequality and the binomial distribution, focusing on error minimization and generalization gaps in predictor selection.

Statistical Estimation: Properties and Distributions

Explores statistical parameter estimation, sample accuracy, and Bernoulli variables' properties.

Parameter Estimation & Fisher Information

Covers parameter estimation, Fisher information, unbiased estimator, and exponential distributions.

Electromagnetic Waves and Energy Transfer

Explores electromagnetic waves, energy transfer by photons, and fluid pressure fundamentals.

Probability Measures and Random Variables

Covers the Caratheodory extension theorem, uniqueness and existence of probability measures, Bernoulli random variables, and spaces of random variables.

Discrete Random Variables: Functions and Probabilities

Explores discrete random variables, their functions, and probabilities in various scenarios.

Cavitation Phenomenon

Explores cavitation, extreme temperatures in bubbles, Bernoulli's theorem, and fluid dynamics exercises.

Expectation of a Random Variable

Defines the expectation for random variables, emphasizing the importance of absolute values.

Fluid Mechanics: Hydrodynamics

Explores fluid mechanics, emphasizing hydrodynamics, including Archimedes' principle and Bernoulli's theorem, with practical applications in Torricelli's law and Venturi tubes.