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I think a merger would be OK, as long as the distinction between the topics is clarified. My understanding is that a random variable is described by a probability distribution/measure, a realization is a procedure or model for producing a sample with that distribution, and a random variate is an
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For instance, "we must distinguish between our random variable X — a procedure — and a realization — application of the procedure to a particular instance to yield an outcome in our sample space. The outcome of a realization, also often referred to as simply the realization, is denoted a random
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Poisson distribution, a radioactive sample and Geiger counter, and an observed timing of clicks. A distribution may have many possible realizations and a realization may have many possible random variates. --
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that's not what the article states: "a realization, observation, or observed value, of a random variable is the value that is actually observed (what actually happened)." I.e., realization = variate:
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Which is the difference between a "random variable" and a "random variate"? Should these articles be merged? Or at least, should the content of this article be made more "aware" of the other one?
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Agreed there's a nuance between the process and the result; but I still think it'd be better to cover both in the same article.
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The definition is wrong! Random variate is the same as random variable, and could have any distribution, not only uniform.
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Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.
472:"A random variate is a realization, or instantiation of a random variable, which is typically generated by a computer."
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But agreed, it is also true that some sources do not differentiate between realization and random variate. --
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Variate isn't the same as random variate. This article needs referencing.
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The new definition differs from my original edit(2006) and
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Subsequent comments should be made in a new section.
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