Lectures related to Cross-correlation

Air Pollution: Correlation Analysis

Covers correlation and cross-correlations in air pollution data analysis, including time series, autocorrelations, Fourier analysis, and power spectrum.

Describing Data: Statistics and Hypothesis Testing

Covers descriptive statistics, hypothesis testing, and correlation analysis with various probability distributions and robust statistics.

Long-range Correlations in Polymer Science

Explores the significance of long-range correlations in polymer science models and approximations.

Parseval Relations and Fourier Transform

Covers Parseval relations, Fourier series, energy calculation, and correlation in signal processing.

Signal Processing Fundamentals

Explores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.

Errors in Sampling: Correlation and Time Analysis

Explores errors in sampling, correlation functions, time analysis, and blocking techniques.

Efficiency of Sampling: Ergodicity and Autocorrelation Functions

Explores the efficiency of sampling in molecular dynamics, focusing on ergodicity and autocorrelation functions.

Estimation and Correlation

Explains estimation, correlation, and Pearson correlation in statistics, focusing on measuring and describing relationships between variables.

Diffusion Mechanisms: Simple vs Interstitial

Explores diffusion mechanisms in alloys, emphasizing simple and interstitial exchanges, gap conservation, and correlation effects.

Dependence Concepts and Copulas

Explores dependence concepts, copulas, correlation fallacies, and rank correlations in statistics.

Signals & Systems I: Cross-Correlation and Convolution

Explores cross-correlation, convolution, signal approximation, orthonormal functions, and orthogonal approximation theorem in signals and systems.

Copulas: Properties and Applications

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Covariance of Differenced Measurements

Explores the concept of covariance in differenced measurements and correlation between observations.

How to Lie with Statistics

Explores scientific misconduct, p-value optimization, and spotting issues with conclusions using real-world examples.

Stochastic Processes and Spectral Densities

Covers spectral densities, signal correlations, and white noise processes in stochastic systems.

Central Limit Theorem: Properties and Applications

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

Variance, Covariance, and Correlation

Explores variance, covariance, and correlation in statistics, essential for data analysis.

Inflationary Magnetogenesis: Primordial Curvature Perturbations and Magnetic Fields

Covers the relationship between primordial curvature perturbations and inflationary magnetic fields, emphasizing observational evidence and theoretical models.

Multi-dimensional correlation spectroscopy: INEPT and HSQC

Explains coherence transfer techniques in multi-dimensional NMR spectroscopy.