Lesson plan
Realization (probability)
In probability and statistics, a realization or observation (also called observed value) of a random variable or random element is the value that is actually observed or measured. For example, if the random variable is human height, a given realization could be "2 meters”. The random variable itself is the process dictating how the observation comes about. Statistical quantities computed from realizations without deploying a statistical model are often called "empirical", as in empirical distribution function or empirical probability. Conventionally, to avoid confusion, upper case letters denote random variables and the corresponding lower case letters denote their realizations.
Article summary
In probability and statistics, a realization or observation (also called observed value) of a random variable or random element is the value that is actually observed or measured. For example, if the random variable is human height, a given realization could be "2 meters”. The random variable itself is the process dictating how the observation comes about. Statistical quantities computed from realizations without deploying a statistical model are often called "empirical", as in empirical distribution function or empirical probability. Conventionally, to avoid confusion, upper case letters denote random variables and the corresponding lower case letters denote their realizations.
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.