Probability and Statistics

Probability and Statistics

Basic Probability Concepts

  • Fundamentals of Probability

  • Discrete and Continuous Distributions

  • Joint and Marginal Probabilities

  • Probability spaces, events, and outcomes

  • Conditional probability and independence

  • Random Variables and Distributions, Expectations

  • Discrete and continuous random variables

  • Common probability distributions: Normal, Binomial, Poisson, etc.

  • Expectation and Variance

  • Mathematical Expectation and Algorithm Evaluation

  • Statistical Measures: Mean, Variance, and Standard Deviation

  • Covariance and correlation

  • Statistical Inference

  • Hypothesis testing and confidence intervals

  • Maximum likelihood estimation (MLE)\

  • Descriptive and inferential statistics applied to AI

    • Measures of Central Tendency and Dispersion

    • Data Visualization in AI

    • Statistical Inference for Supervised Learning

    • Hypothesis Testing in Validation of AI Models:

  • Conditional Probability and Bayes’ Theorem and its application in machine learning

    • Application in Bayesian Classification

    • Probabilistic Graphic Models

    • Bayesian Learning Algorithms

    • Bayes Theorem in Parameter Estimation

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