Probability and statistics
Move from uncertain events to random variables, probability models and evidence-based statistical inference.
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Stationarity imposes time-shift invariance on distributions or specified moments.
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Autocorrelation measures dependence between a process and its lagged values.
Testing many hypotheses requires controlling an appropriate combined error measure.
ANOVA partitions variation to test mean differences under model assumptions.
Bayes theorem relates conditional probabilities in opposite directions using prior probabilities and a nonzero evidence probability.
Prior and likelihood combine into a posterior distribution through Bayes' rule.
Move from uncertain events to random variables, probability models and evidence-based statistical inference.