Probability and statistics
Move from uncertain events to random variables, probability models and evidence-based statistical inference.
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Gamma distributions model positive quantities; beta distributions model values on the unit interval.
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A sum of squared independent standard normal variables has a chi-squared distribution.
An exponential waiting time has a constant hazard rate and the memoryless property.
ANOVA partitions variation to test mean differences under model assumptions.
Autocorrelation measures dependence between a process and its lagged values.
Bayes theorem relates conditional probabilities in opposite directions using prior probabilities and a nonzero evidence probability.
Move from uncertain events to random variables, probability models and evidence-based statistical inference.