Applied Statistics with Python: A Complete Learning Experience
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Chapter 1: Random Events, Variables & Probability Modeling
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Random Events & Variables
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Introduction to Probability Distributions
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Populations and Samples
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Core Probability Distributions
Chapter 2: Distribution Families & Shapes
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Bounded and Unbounded Support
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Distributions With a Single Parameter
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Distributions With Two Parameters
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Distributions With Three Parameters
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Comparing Distributions
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Multivariate Distributions and Variable Relationships
Chapter 3: Sampling & Estimators
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Introduction to Statistical Inference
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Estimation & Sources of Uncertainty
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Simulation Data
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Sampling Distributions
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Exact Sampling Distributions for Inference
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Estimator Behavior
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Variability & Error Measures
Chapter 4: Hypothesis Testing & Statistical Comparison Methods
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Hypothesis Testing
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Classical Statistical Tests
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Practical Tools for Group Comparisons
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Association Measures
Chapter 5: Regression & Prediction Diagnostics
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ML Model Types
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ML Modeling Overview
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Classification Metrics
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Regression Diagnostics
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Model Fit Diagnostics
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Statistical Error & Variability
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ML Context Diagnostics
Chapter 6: Sampling Designs & Experiments
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Sampling Designs
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Representativeness
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Representative Model Evaluation
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Foundations of Experiments
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A/B Testing, Power and Effect Sizes
Chapter 7: Resampling & Permutation Based Inference
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Resampling with Bootstrap Methods
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Resampling with Jackknife Methods
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Randomization & Permutation Tests
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Method Comparison
Chapter 8: Nonparametric Drift Detection & Monitoring
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Datasets Introduction
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Statistical Drift Tests
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Monitoring Over Time
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Randomization & Permutation Tests
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Method Comparison
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Advanced Drift Detection
Chapter 9: Parametric Drift Detection & Monitoring
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Datasets Introduction
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Parametric Distributions
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Model Selection
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Model Evaluation
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Drift Signals in Parametric Models
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Tail & Percentile Behavior
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Reliability Impact
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Monitoring Over Time
Chapter 10: Survival Curves & Reliability Modeling
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Datasets Introduction
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Foundations of Reliability Modeling
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Survival Analysis Essentials
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Hazard-Based Insights for ML Reliability
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Modeling Failure Risk
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Reliability-Driven Operational Decisions