Skip to content

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 17 of 22.

IndexAll notes

02-02-385Population MeanProbability and statisticsBasic statistical operations 02-02-386Population VarianceProbability and statisticsBasic statistical operations 02-02-387Standard DeviationProbability and statisticsBasic statistical operations 02-02-388Standardized Score (Z-Score)Probability and statisticsBasic statistical operations 02-02-389CDFProbability and statisticsCommon continuous distributions 02-02-390Continuous Uniform DistributionProbability and statisticsCommon continuous distributions 02-02-391Expected ValueProbability and statisticsCommon continuous distributions 02-02-392Multivariate Gaussian DistributionProbability and statisticsCommon continuous distributions 02-02-393PDFProbability and statisticsCommon continuous distributions 02-02-394VarianceProbability and statisticsCommon continuous distributions 02-02-395Bernoulli Distribution (1 trial, binary outcome)Probability and statisticsCommon discrete distributions 02-02-396Binomial Distribution (n trials, k successes)Probability and statisticsCommon discrete distributions 02-02-397Categorical Distribution (1 trial, K outcomes)Probability and statisticsCommon discrete distributions 02-02-398Multinomial Distribution (n trials, K outcomes)Probability and statisticsCommon discrete distributions 02-02-399Negative Binomial Distribution (Trials to n successes)Probability and statisticsCommon discrete distributions 02-02-400Poisson Distribution (counts per interval)Probability and statisticsCommon discrete distributions 02-02-401Cumulative Distribution Function (CDF)Probability and statisticsContinuous random variables (CRVs)02-02-402Expected ValueProbability and statisticsContinuous random variables (CRVs)02-02-403Function ExpectationProbability and statisticsContinuous random variables (CRVs)02-02-404Interval ProbabilityProbability and statisticsContinuous random variables (CRVs)02-02-405Probability Density Function (PDF) ConstraintProbability and statisticsContinuous random variables (CRVs)02-02-406VarianceProbability and statisticsContinuous random variables (CRVs)02-02-407Cumulative Distribution Function (CDF)Probability and statisticsDiscrete random variables (DRVs)02-02-408Expected Value (Linearity)Probability and statisticsDiscrete random variables (DRVs)