Journal Library YouTube

Probability Theory.

Explore 10 formal proofs and analytical renders within the discipline of Probability Theory.

Kolmogorov Axioms

Master the Kolmogorov Axioms: the rigorous foundation of probability theory. Explore non-negativity, unit measure, and countable additivity with cinematic insight.

Study Proof →

Random Variables & PDF

Random Variables & PDF: A Random Variable is a Translator. Foundational Probability Theory visual proof at NICEFA.

Study Proof →

Moment Generating Functions

Moment Generating Functions: MGFs are Encoded DNA. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →

Central Limit Theorem

Central Limit Theorem: The CLT is Universal Convergence. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →

Law of Large Numbers

Law of Large Numbers: The LLN is the Stability of Averages. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →

Cramer-Rao Lower Bound

Cramer-Rao Lower Bound: The Cramer-Rao Bound is the Uncertainty Principle of stats. Advanced Probability Theory visual proof at NICEFA.

Study Proof →

Sufficient Statistics

Sufficient Statistics: Sufficient Statistics are Lossless Summaries. Advanced Probability Theory visual proof at NICEFA.

Study Proof →

Bayesian Inference

Bayesian Inference: Bayesianism is the Geometry of Updated Belief. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →

MLE Strategy

MLE Strategy: Maximum Likelihood is finding the Mountain Peak. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →

Hypothesis Testing

Hypothesis Testing: Hypothesis Testing is the Courtroom of Science. Intermediate Probability Theory visual proof at NICEFA.

Study Proof →