Multiscale Generalized Hamiltonian Monte Carlo with Delayed Rejection
Explore advanced sampling techniques combining generalized Hamiltonian Monte Carlo and delayed rejection for efficient multiscale distribution sampling, overcoming limitations of standard HMC methods.
Kurtosis: Meaning, Calculation, and Applications in Statistics
Explore kurtosis in statistics, its meaning, and practical applications through numerical examples and advanced mathematical concepts.
Inspection Paradox Approach to Stochastic Resetting
Explore the inspection paradox and its application to stochastic resetting in random processes, from diffusion to animal foraging, using elementary mathematical tools.
Survival Probability and Record Statistics for Random Walks
Explore survival probability and record statistics for random walks, including correlated models and applications to active particles, with insights on universality and extreme value statistics.
Stability of the Lyapunov Exponents Under Random Noise
Explore stability of Lyapunov exponents under random noise in dynamical systems. Gain insights from expert Silvius Klein at this international mathematics conference celebrating Marcelo Viana's 60th birthday.
Shuffling Cards and Random Matrix Theory
Explore card shuffling and random matrix theory with Stanford's Persi Diaconis in this IMPA 70th anniversary conference talk on mathematical applications in everyday phenomena.
Mixing Time and Cutoff for One Dimensional Systems
Explore mixing time and cutoff for one-dimensional systems in this advanced mathematics lecture by Hubert Lacoin at IMPA's 70th anniversary conference.
Interacting Particle Systems on Sparse W-Random Graphs
Explore interacting particle systems on sparse W-random graphs in this workshop. Gain insights from leading experts through plenary talks, contributed presentations, and collaborative sessions on randomness and network learning.
Workshop on Randomness and Learning on Networks
Explore cutting-edge research in randomness and network learning. Engage with experts, attend minicourses, and collaborate on open problems in discrete probability and network statistics.
Split Conformal Prediction and Its Extensions to Non-Exchangeable Data
Explore split conformal prediction and its extensions to non-exchangeable data in this advanced mathematical lecture by Paulo Orenstein at IMPA's 70th anniversary conference.
Modal Regression: A New Approach to Modeling Conditional Relationships - Lecture
Explore modal regression, a new tool revealing unique data structures and offering advantages over mean and quantile regressions for outliers, heavy-tailed, and truncated data.
Learn Scatter Plots and Best Fitting Lines - Algebra, Statistics and Linear Regression
Master scatter plots and best fitting lines, exploring algebra, statistics, and linear regression concepts for improved data analysis skills.
A Fascinating Frog Problem
Explore a captivating mathematical puzzle involving frogs jumping on lily pads with Oxford mathematician Tom Crawford. Dive into problem-solving techniques and discover unexpected connections in this engaging discussion.
Skewness Based on Moments in Statistics and Advanced Mathematics
Learn to calculate skewness using moments in statistics, covering dispersion and central tendency measures for advanced mathematics and probability applications.
Linear Regression
Explore linear regression concepts, techniques, and applications for data analysis and predictive modeling.
Classical Linear Regression Model - Part 4
Explore advanced concepts in classical linear regression, focusing on model interpretation, diagnostics, and practical applications in statistical analysis.
Classical Linear Regression Model - Part 3
Explore advanced concepts of classical linear regression, including model assumptions, estimation techniques, and statistical inference for robust data analysis.
Sampling Distribution and Statistical Inference of Regression Coefficient
Explore sampling distributions of regression coefficients and conduct statistical inference to enhance your understanding of regression analysis.
Gauss-Markov Theorem
Explore the fundamental principles and applications of the Gauss-Markov theorem in statistical analysis and linear regression modeling.
Diagnostics to Improve Linear Model Fit - OLS Analysis and Residual Plots
Explore techniques to enhance linear model fit through residual analysis, normality checks, and outlier detection in OLS regression.
Multiple Linear Regression
Explore multiple linear regression techniques for analyzing relationships between multiple variables and predicting outcomes in statistical modeling.