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Generalized chi-squared distribution
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Stochastic Models for Communications
Explores mean, variance, probability functions, inequalities, and various types of random variables, including Binomial, Geometric, Poisson, and Gaussian distributions.
Multivariate Statistics: Normal Distribution
Introduces multivariate statistics, covering normal distribution properties and characteristic functions.
Generative Learning Algorithms
Explores generative learning algorithms, decision rules, and Gaussian distribution properties in machine learning.
Gaussian Discriminant Analysis
Covers Gaussian discriminant analysis, log-likelihood, supervised learning, and logistic regression.
Analysis of Variance (ANOVA)
Covers Analysis of Variance (ANOVA) for assessing categorical variable effects on quantitative outcomes.
Nested Model Selection
Explores nested model selection in linear models, comparing models through sums of squares and ANOVA, with practical examples.
Generative Learning & Model Properties
Explores generative learning, class priors, and maximum likelihood estimation in classification models.
Conditional Expectation: Definition
Explains conditional expectation, conditioning events, probabilities calculation, and examples with dice and random variables.
Naive Bayes: Gaussian Discriminant Analysis
Covers the Naive Bayes algorithm with Gaussian Discriminant Analysis.
Genetic Inheritance: Chromosomes and Probabilities
Explores Mendelian genetics, covering chromosomal theory, genetic ratios, Chi-square analysis, and human trait pedigrees.