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Advanced Probability and Statistical Methods · LearnSpace
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Advanced Probability and Statistical Methods

Курс от Johns Hopkins University
Средний≈ 47.8 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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. Completing this course equips you with the skills to analyze complex data sets and make informed predictions, enhancing your proficiency in statistical reasoning and inference. Unique to this course is its blend of theoretical foundations and practical applications, ensuring that you can not only understand the principles but also implement them using tools like R. Whether you're pursuing a career in data science, machine learning, or any data-centric discipline, this course will empower you to tackle challenging statistical problems and drive meaningful insights from data.

Навыки, которые вы освоите

ProbabilityProbability DistributionProbability & StatisticsStatistical Hypothesis TestingCorrelation AnalysisMarkov ModelStatistical MethodsRegression AnalysisStatistical ModelingStatisticsStatistical ProgrammingData AnalysisR ProgrammingStatistical AnalysisData ScienceStatistical SoftwareStatistical Inference

Программа курса

6 модулей · 84 учебных материалов

01Course Introduction3 материалов
Course OverviewЧтениеInstructor Biography - Dr. Ian McCullohPLUGINInstructor Biography - Dr. Tony JohnsonЧтение
02Joint Distributed Random Variables19 материалов

Introduction to Joint Distributions and Probability Spaces

Учитесь у экспертов

Ian McCulloh

Преподаватель курса

Tony Johnson

Преподаватель курса

Advanced Probability and Statistical Methods
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Обучение на Coursera

≈ 47.8 ч

6 модулей

Язык: Английский

Субтитры: Узбекский, Испанский, Казахский, Венгерский

Часть программы вашего университета
OverviewВидео
Joint DistributionsВидео
Joint Probability Space and Joint PMFВидео
Reading ReferencesЧтение
Joint Distributed Random VariablesЗадание

Advanced Concepts in Joint Density Functions and Marginal Distributions

Joint Density Function (PDF)ВидеоExpected Value and Marginal DistributionsВидеоReading ReferencesЧтениеAdvanced Concepts in Joint Density Functions and Marginal DistributionsЗадание

Exploring Joint PDFs and Conditional Probability Distributions

Joint PDF Example ProblemВидеоConditional Joint Probability DistributionsВидеоReading ReferencesЧтениеExploring Joint PDFs and Conditional Probability DistributionsЗадание

Independence of Joint Random Variables and R Implementation

Independence of Joint Random VariablesВидеоR TutorialВидеоReading ReferencesЧтениеIndependence of Joint Random Variables and R ImplementationЗадание

Module-end Assessments

Practice Lab: Exploring Joint PMFs, Density Functions, and Probability Distributions with RЛабораторнаяJoint Distributed Random VariablesЗадание
03Expectation15 материалов

Understanding Expected Value, Median, and Mean Time to Failure

Expected Value & MedianВидеоMean Time to FailureВидеоReading ReferencesЧтениеUnderstanding Expected Value, Median, and Mean Time to FailureЗадание

Linearity of Expectation and the Hat Check Problem

Linearity of ExpectationВидеоHat Check ProblemВидеоReading ReferencesЧтениеLinearity of Expectation and the Hat Check ProblemЗадание

Variance Analysis and Indicator Variables with R Tutorial

Sum of Indicator VariablesВидеоVarianceВидеоR TutorialВидеоReading ReferencesЧтениеVariance Analysis and Indicator Variables with R TutorialЗадание

Module-end Assessments

Practice Lab: Exploring Expectations and Ambulance Travel Distance Using RЛабораторнаяExpectationЗадание
04Inequalities and Central Limit Theorem19 материалов

Markov Chains, Rare Events, and Murphy's Law

Rare Events & MarkovВидеоMarkov ExamplesВидеоMurphy's LawВидеоReading ReferencesЧтениеMarkov Chains, Rare Events, and Murphy's LawЗадание

Chebyshev Inequality and the Central Limit Theorem

Chebyshev InequalityВидеоCentral Limit TheoremВидеоReading ReferencesЧтениеChebyshev Inequality and the Central Limit TheoremЗадание

Central Limit Theorem Examples and Hypothesis Testing

Example CLTВидеоHypothesis TestВидеоReading ReferencesЧтениеCentral Limit Theorem Examples and Hypothesis TestingЗадание

Card Tricks and R Tutorial for Statistical Analysis

Card TrickВидеоR Tutorial ВидеоReading ReferencesЧтениеCard Tricks and R Tutorial for Statistical AnalysisЗадание

Module-end Assessments

Practice Lab: Statistical Distributions and Hypothesis Testing in RЛабораторнаяInequalities and Central Limit TheoremЗадание
05Statistical Testing10 материалов

Statistical Hypothesis Testing and T-Tests

Statistical Hypothesis TestingВидео T-TestВидеоUnderstanding Data and Basis StatisticsЧтениеStatistical Hypothesis Testing and T-TestsЗадание

Regression and R Tutorial

RegressionВидеоR Tutorial- Statistical TestingВидеоUnderstanding Data and Basis StatisticsЧтениеRegression and R TutorialЗадание

Module-end Assessments

Practice Lab: Simulation of Arbitrary Random Variables and Statistical Analysis in Medical ImagingЛабораторнаяStatistical TestingЗадание
06Markov Chain18 материалов

Statistical Hypothesis Testing and T-Tests

The Poisson ProcessВидеоExamples of the Poisson ProcessВидеоReading ReferencesЧтениеStatistical Hypothesis Testing and T-TestsЗадание

Regression and R Tutorial

Markov ChainsВидеоMarkov Chain ExampleВидеоReading ReferencesЧтениеRegression and R TutorialЗадание

Limiting Probabilities and R Tutorial

Limiting ProbabilitiesВидеоR TutorialВидеоReading ReferencesЧтениеLimiting Probabilities and R TutorialЗадание

Mastering Markov Chains: From Jupyter Notebook Basics to Real-World Applications

Markov chain using Jupyter NotebookВидеоApplying Markov ChainВидеоApplication of Markov Chains to COVID-19 estimation COVID Bayesian Data August PDFЧтениеMastering Markov Chains: From Jupyter Notebook Basics to Real-World ApplicationsЗадание

Module-end Assessments

Practice Lab: Markov Analysis in RЛабораторнаяMarkov ChainЗадание