Statistical Independence
Events and are defined to be statistically independent if:
- .
That is, the occurrence of does not affect the probability of, and vice versa. Although the derived forms may seem more intuitive, they are not the preferred definition as the conditional probabilities may be undefined if or are 0, and the preferred definition is symmetrical in and .
Read more about this topic: Conditional Probability
Famous quotes containing the word independence:
“In a famous Middletown study of Muncie, Indiana, in 1924, mothers were asked to rank the qualities they most desire in their children. At the top of the list were conformity and strict obedience. More than fifty years later, when the Middletown survey was replicated, mothers placed autonomy and independence first. The healthiest parenting probably promotes a balance of these qualities in children.”
—Richard Louv (20th century)