The course "Advanced Probability and Statistical Methods" provides a deep dive into advanced probability and statistical methods, essential for mastering data analysis in computer science. Covering joint distributions, expectation, statistical testing, and Markov chains, you'll explore key concepts and techniques that underpin modern data-driven decision-making. By engaging with real-world problems, you’ll learn to apply these methods effectively, gaining insights into the relationships between random variables and their applications in diverse fields.
Advanced Probability and Statistical Methods
Ce cours fait partie de Spécialisation Statistical Methods for Computer Science
Instructeurs : Ian McCulloh
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Ce que vous apprendrez
Learn to analyze relationships between random variables through joint probability distributions and independence concepts.
Understand how to calculate and interpret expected values, variances, and correlations for random variables.
Acquire essential skills in conducting statistical tests, including T-tests and confidence intervals, for data analysis.
Explore the principles of Markov chains and their applications in modeling systems with memoryless properties and calculating entropy.
Compétences que vous acquerrez
- Catégorie : Joint Probability Analysis
- Catégorie : Statistical Inference
- Catégorie : Expectation Calculations
- Catégorie : Application of Limit Theorems
- Catégorie : Markov Chain Modeling
Détails à connaître
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octobre 2024
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Il y a 6 modules dans ce cours
This course provides a comprehensive overview of probability theory and statistical inference, covering joint probability distributions, independence, and conditional distributions. Students will explore expected values, variances, and key statistical theorems, including the central limit theorem. Hypothesis testing, regression analysis, and stochastic processes such as Poisson processes and Markov chains will also be examined. Through practical applications and problem-solving, participants will gain essential skills in data analysis and interpretation.
Inclus
2 lectures1 plugin
This module presents the joint distributions of multiple random variables, both discrete and continuous and introduces the concept of independence.
Inclus
9 vidéos4 lectures5 devoirs1 laboratoire non noté
This module focuses on the expectation of a random variable and joint random variable. Students will solve problems using the linearity of expectation and identify when its application is inappropriate. We will also explore variance, covariance, and correlation.
Inclus
7 vidéos3 lectures4 devoirs1 laboratoire non noté
This module will apply several limit theorems to solve problems to include the central limit theorem, the Markov inequality, and the Chebyshev inequality. We will also prove Murphy’s Law.
Inclus
9 vidéos4 lectures5 devoirs1 laboratoire non noté
This module develops student proficiency in probabilistic models to include Markov chains. Students will be introduced to problems involving surprise, uncertainty, and entropy.
Inclus
4 vidéos2 lectures3 devoirs1 laboratoire non noté
This module develops student proficiency in probabilistic models to include Markov chains. Students will be introduced to problems involving surprise, uncertainty, and entropy.
Inclus
8 vidéos4 lectures5 devoirs1 laboratoire non noté
Instructeurs
Offert par
Recommandé si vous êtes intéressé(e) par Probability and Statistics
University of Illinois Urbana-Champaign
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University of Colorado Boulder
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