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Related lectures (32)
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Correlated Sampling: Weight Function and Markovian Chain
Explores correlated sampling, weight functions, Markovian chains, ergodicity, and walkers.
Stochastic Blockmodel Estimation
Explores Stochastic Blockmodel estimation, spectral clustering, network modularity, Laplacian matrix, and k-means clustering.
Distributionally Robust Portfolio Optimization
Explores distributionally robust portfolio optimization and compares different estimation approaches and methods for portfolio evaluation.
Interval Estimation
Covers the construction of confidence intervals for a normal distribution with unknown mean and variance.
Model Selection: Evaluation and Generalization
Explores model selection, evaluation, and generalization in machine learning, emphasizing unbiased performance estimation and the risks of over-learning.
Acceptance-Rejection Methods: Advanced Techniques
Explores advanced Acceptance-Rejection methods, sampling from normal distribution, and multivariate random variable generation.
Monte Carlo Integration: Correlated Sampling
Covers Monte Carlo integration through correlated sampling and error scaling for grid integration.
Stochastic Simulations: Ergodicity and Estimators
Explores geometric ergodicity in Markov chains and estimators' bias and variance, highlighting efficiency loss quantification.
Errors in Sampling: Correlation and Time Analysis
Explores errors in sampling, correlation functions, time analysis, and blocking techniques.
Statistical Mediation and Moderation
Explores statistical mediation, moderation, ANOVA, and hypothesis testing.