Lectures related to Inverse-gamma distribution

Analytical Extension of Gamma Function

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

Optimization and Simulation

Covers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.

Mixture models: alternative specific variance

Explores alternative specific variance in mixture models and discusses identification issues and model comparisons using 500 draws.

Statistical Estimation: Maximum Likelihood

Explores Maximum Likelihood Estimation properties, challenges, and alternative methods in statistical inference.

Continuous Random Variables: Distributions and Expectation

Explores various continuous probability distributions and expectation of random variables.

Statistical Models: Basics & Applications

Covers statistical concepts like probability, estimation, hypothesis testing, and confidence intervals for mathematicians.

Estimating Extremal Processes

Explores extremal limit theorems, statistical analysis, and applications of extremal processes in various fields, focusing on modeling extreme events and fitting suitable models.

Stochastic Models for Communications

Explores stochastic models for communications, covering mean, variance, characteristic functions, inequalities, various discrete and continuous random variables, and properties of different distributions.

Continuous Random Variables

Covers continuous random variables, probability density functions, and distributions, with practical examples.

Probability and Statistics: Variance and Covariance Calculations

Discusses variance and covariance calculations, transformations of random variables, and mixtures in probability and statistics.

Sexing Guppy Fish: Bayesian Inference and Decision Rules

Covers the sexing of guppy fish using Bayesian inference and decision rules.

Chimpanzee Data Analysis

Covers the analysis of chimpanzee data on learning times and explores generalized linear models and logistic regression.

Probability Distributions: Basics and Properties

Covers the basics of probability distributions, including mean, variance, and properties of random variables.

Statistical Estimation

Covers statistical estimation methods and explores practical examples of parameter estimation for different distributions.

Common Distributions: Moment Generating Functions

Explores common probability distributions, special distributions, and entropy concepts.

Bessel Equation: First Frobenius Series Solution around x=0

Explores the Bessel equation solution method and the gamma function properties.

Insurance Risk Modeling

Covers the modeling of insurance risk, discussing joint distributions and the impact of accidents.

Convergence of Random Variables

Explores independent and identically distributed random variables, convergence, and distribution properties.

Probability Distributions

Covers various probability distributions and their applications in real-world scenarios.

Introduction to Continuous Random Variables: Probability Distributions

Introduces continuous random variables and their probability distributions, emphasizing their applications in statistics and data science.