Advanced Probability Theory
Kursus
90 Allerede tilmeldte studerende- Gain a comprehensive understanding of additional probability theory topics pertinent to data science and analytics.
- Develop proficiency with both absolutely continuous and discrete random variables.
- Grasp the principles of cumulative distribution functions and probability density functions.
- Explore and characterize the features of random variables and random vectors.
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Der er 4 moduler i dette kursus
Statistics and probability theory are fundamental tools in data analysis, decision-making, and scientific research. They provide a systematic and quantitative way to understand and interpret data, make predictions, and draw conclusions based on evidence. Now we will consider all additional topics necessary for Data Science and Data Analytics.- Course OverviewForhåndsvisning
- Absolutely Continuous and Discrete Random VariablesForhåndsvisning
- Cumulative Distribution Functions and Probability Density FunctionsForhåndsvisning
- Characteristics of Random VariablesForhåndsvisning
- Random VectorsForhåndsvisning
- Useful Properties of the Gaussian DistributionForhåndsvisning
- Challenge: Detecting Outliers Using 3-Sigma RuleForhåndsvisning
- General population. Samples. Population parameters.Forhåndsvisning
- Momentum estimation. Maximum Likelihood EstimationForhåndsvisning
- Challenge: Estimate Parameters of Chi-square DistributionForhåndsvisning
- Unbiased EstimationForhåndsvisning
- Challenge: Checking Bias of An Estimation Using SimulationForhåndsvisning
- Consistent EstimationForhåndsvisning
- Efficient EstimationForhåndsvisning
- Confidence Intervals for Population ParametersForhåndsvisning
- Challenge: Confidence Interval for Exponential Distribution ParameterForhåndsvisning
- What is Statistic Hypothesis? Type 1 and Type 2 ErrorsForhåndsvisning
- What is P-value?Forhåndsvisning
- Comparing Means of Two Different DatasetsForhåndsvisning
- Challenge: Using CLT to Compare Mean Values of Non-Gaussian DatasetsForhåndsvisning
- Challenge: Resampling Approach to Compare Mean Values of the DatasetsForhåndsvisning
- Testing the Hypothesis of Independence of Two Random VariablesForhåndsvisning
Udvalgt af studerende fra de allerbedste skoler
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