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Related lectures (56)

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.

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.

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.

Signal Models and Methods: Parametric vs Nonparametric Log in to Mediaspace to watch this video

Provides an overview of signal models and methods in statistical signal processing.

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

Explains the geometric and negative binomial distributions and their properties.

Characterization of Stochastic Processes: Theory and Applications Log in to Mediaspace to watch this video

Covers the characterization of stochastic processes, focusing on their mathematical foundations and real-world applications.

Probability Spaces Log in to Mediaspace to watch this video

Covers random variables, expectation, and distributions in probability spaces.

Maximum Likelihood Estimation Log in to Mediaspace to watch this video

Introduces maximum likelihood estimation for statistical parameter estimation, covering bias, variance, and mean squared error.

Hydrologic and Hydraulic Design Log in to Mediaspace to watch this video

Explores the design of engineering works for floods, focusing on 100-year flood determination and the collapse of levees during extreme events.

Sampling: Inference and Statistics Log in to Mediaspace to watch this video

Explores sampling in inferential statistics, emphasizing the impact of sample size and randomness on inference accuracy.

Linear Regression: Model Adjustment and Parameter Estimation Log in to Mediaspace to watch this video

Explains the decomposition of total sum of squares, model adjustment, and parameter estimation in linear regression.

Generalized Linear Models Log in to Mediaspace to watch this video

Covers Generalized Linear Models, likelihood, deviance, link functions, sampling methods, Poisson regression, over-dispersion, and alternative regression models.

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

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

Statistical analysis of network data Log in to Mediaspace to watch this video

Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.

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.

Markov Chain Monte Carlo: Sampling High-Dimensional Distributions Log in to Mediaspace to watch this video

Covers Markov Chain Monte Carlo for sampling high-dimensional distributions, discussing challenges, advantages, and applications like the Knapsack Problem and cryptography.

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