Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Probability and Statistics: Basics and Applications

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (57)

Elements of Statistics: Probability and Random Variables Log in to Mediaspace to watch this video

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Probability and Statistics Log in to Mediaspace to watch this video

Explores joint random variables, conditional density, and independence in probability and statistics.

Data Analysis: Correlation Measures Log in to Mediaspace to watch this video

Covers the basics of data analysis, focusing on statistical concepts and correlation measures.

Probability and Statistics: Data Modeling and Analysis Log in to Mediaspace to watch this video

Explores PDF forms, statistics, boxplots, density curves, and data analysis methods.

Generalized Linear Models: A Brief Review Log in to Mediaspace to watch this video

Provides an overview of Generalized Linear Models, focusing on logistic and Poisson regression models, and their implementation in R.

Estimators and Confidence Intervals Log in to Mediaspace to watch this video

Explores bias, variance, unbiased estimators, and confidence intervals in statistical estimation.

Central Limit Theorem: Properties and Applications Log in to Mediaspace to watch this video

Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.

Statistics: Exploratory Data Analysis Log in to Mediaspace to watch this video

Introduces statistics basics, including data analysis and probability theory, emphasizing central tendency, dispersion, and distribution shapes.

Statistical Analysis: Boxplot and Normal Distribution Log in to Mediaspace to watch this video

Introduces statistical analysis concepts like boxplot and normal distribution using real data examples.

Spin Glasses and Bayesian Estimation Log in to Mediaspace to watch this video

Covers the concepts of spin glasses and Bayesian estimation, focusing on observing and inferring information from a system closely.

Statistical Theory: Fundamentals Log in to Mediaspace to watch this video

Covers the basics of statistical theory, including probability models, random variables, and sampling distributions.

Basics of linear regression model Log in to Mediaspace to watch this video

Covers the basics of linear regression, OLS method, predicted values, residuals, matrix notation, goodness-of-fit, hypothesis testing, and confidence intervals.

Fracture Mechanics: Crack Growth and Weakest Link Log in to Mediaspace to watch this video

Explores fracture mechanics, crack growth, and the weakest link theory, emphasizing the statistical distribution of crack sizes and the significance of the largest crack in material failure.

Supervised Learning Fundamentals Log in to Mediaspace to watch this video

Introduces the fundamentals of supervised learning, including loss functions and probability distributions.

Random Variables: Introduction and Bernoulli Trials Log in to Mediaspace to watch this video

Introduces random variables, approximation, convergence, and Bernoulli trials in statistics.

Probability Distributions: Central Limit Theorem and Applications Log in to Mediaspace to watch this video

Discusses probability distributions and the Central Limit Theorem, emphasizing their importance in data science and statistical analysis.

Statistical Theory: Inference and Sufficiency Log in to Mediaspace to watch this video

Explores statistical inference, sufficiency, and completeness, emphasizing the importance of sufficient statistics and the role of complete statistics in data reduction.

Geometric and Negative Binomial Distributions Log in to Mediaspace to watch this video

Explains the geometric and negative binomial distributions and their properties.

Modern Regression: Statistical Models and Data Analysis Log in to Mediaspace to watch this video

Introduces regression analysis, covering linear and nonlinear models, Poisson regression, and failure time analysis using various datasets.

Modern Regression: Random Effects and Model Checking Log in to Mediaspace to watch this video

Explores random effects, model checking, and nested vs. crossed effects in modern regression modeling.

Page 2 of 3