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02-02Notes

A working library of the mathematics behind the analysis.

524 notes in 7 areas, from notation to machine learning. Each takes one formula: what it says, a small worked example, and code that runs. Revised in place. Page 16 of 22.

IndexAll notes

02-02-361Independence ConditionProbability and statisticsJoint and marginal distributions 02-02-362Joint Probability (Continuous)Probability and statisticsJoint and marginal distributions 02-02-363Joint Probability (Discrete)Probability and statisticsJoint and marginal distributions 02-02-364Marginal Distribution (Continuous)Probability and statisticsJoint and marginal distributions 02-02-365Marginal Distribution (Discrete)Probability and statisticsJoint and marginal distributions 02-02-366Summing/Integrating Out (General)Probability and statisticsJoint and marginal distributions 02-02-367Joint Expected Value (Continuous)Probability and statisticsMultivariable expectations 02-02-368Joint Expected Value (Discrete)Probability and statisticsMultivariable expectations 02-02-369Complementary EventsProbability and statisticsAxioms and basic probability 02-02-370Countable Additivity (Disjoint sets Union Bound)Probability and statisticsAxioms and basic probability 02-02-371Mutually Exclusive EventsProbability and statisticsAxioms and basic probability 02-02-372Probability Measure ConstraintProbability and statisticsAxioms and basic probability 02-02-373Totality Sum RuleProbability and statisticsAxioms and basic probability 02-02-374Union (General)Probability and statisticsAxioms and basic probability 02-02-375Chain Rule Product RuleProbability and statisticsConditional probability and independence 02-02-376Conditional ProbabilityProbability and statisticsConditional probability and independence 02-02-377Independent Events (Conditional)Probability and statisticsConditional probability and independence 02-02-378Independent Events (Intersection)Probability and statisticsConditional probability and independence 02-02-379Independent Events (Union)Probability and statisticsConditional probability and independence 02-02-380Bayes' TheoremProbability and statisticsTotal probability and Bayes’ theorem 02-02-381Law of Total ProbabilityProbability and statisticsTotal probability and Bayes’ theorem 02-02-382MedianProbability and statisticsBasic statistical operations 02-02-383Min-Max NormalizationProbability and statisticsBasic statistical operations 02-02-384Percentiles and QuantilesProbability and statisticsBasic statistical operations