Probability Theory 𓆩⚪𓆪 Table of Contents

Probability Theory 𓆩⚪𓆪

• ❪⎇❫ Branches of Probability Theory ○
• ❪✺❫ Probabilistic Concepts ○
• ❪∂❫ Probability Math ○
• ❪○❫ Probability Collections ○

❪⎇❫ Branches of Probability Theory ○

❪✺❫ Probabilistic Concepts ○

• ❪✺₁❫ Probabilistic Classes ○
• ❪✺₂❫ Probabilistic Domains ○
• ❪✺₄❫ Probabilistic Sets ○
• ❪✺_❫ Probabilistic Subs ○
• ❪∂❫ Probability Math ○
• Probability ⚪

❪✺₁❫ Probabilistic Classes ○

• Cumulative Distribution Function (CDF) ○꠹
• Moment Generating Function (MGF) ○꠹
• Probability Density Function (PDF) ○꠹
• Probability Distribution ○꠹
• Probability Mass Function (PMF) ○꠹
• Random Variable ○꠹

❪✺₂❫ Probabilistic Domains ○

• ❪✺₂ₐ❫ Probabilistic Methods ○
• Bayesian Probability ○𓆪
• Frequentist Probability ○𓆪

❪✺₂ₐ❫ Probabilistic Methods ○

• Bayesian Inference ○𓆪
• Frequentist Inference ○𓆪

❪✺₄❫ Probabilistic Sets ○

• ❪✺_ₛₛ❫ Probabilistic Subsets ○

❪✺_❫ Probabilistic Subs ○

• ❪✺_ₛₛ❫ Probabilistic Subsets ○
• ❪∂_❫ Probabilistic Subs ○
• Conditional Probability ○

❪✺_ₛₛ❫ Probabilistic Subsets ○

• ❪✺_ₜₛ❫ Probabilistic Typesets ○

❪✺_ₜₛ❫ Probabilistic Typesets ○

• ❪∂₁’❫ Probability Distributions ○

❪∂❫ Probability Math ○

• ❪∂₁❫ Probabilistic Functions ○
• ❪∂₃❫ Probabilistic Rules ○
• ❪∂_❫ Probabilistic Subs ○

❪∂₁❫ Probabilistic Functions ○

• ❪∂₁-❫ Floating Probabilistic Functions ○
• ❪∂₁’❫ Probability Distributions ○
• Likelihood (p₍X┃θ₎) ○◂
• Marginal Likelihood (p₍X₎) ○◂
• Posterior (p₍θ┃X₎) ○◂
• Prior (p₍θ₎) ○◂

❪∂₃❫ Probabilistic Rules ○

• Bayes’ Theorem ○◂

❪∂_❫ Probabilistic Subs ○

• ❪∂₌❫ Probabilistic Formulations ○

❪∂₌❫ Probabilistic Formulations ○

• Exponential Distribution (Exp₍β₎=₍1∕β₎⋅exp₍-x∕β₎) ○￩
• Exponential Distribution (Exp₍λ₎=λ⋅exp₍-λx₎) ○￩
• Posterior (p₍θ┃X₎=p₍X┃θ₎⋅p₍θ₎∕p₍X₎) ○￩
• Posterior (p₍θ┃X₎∝p₍X┃θ₎⋅p₍θ₎) ○￩

❪○❫ Probability Collections ○

• ❪📖❫ Probability Texts ○

❪📖❫ Probability Texts ○

• ❪📖-❫ Floating Probability Texts ○