# Talk:Stochastic process

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## Stochasticity is from archery

The article should mention that no matter how fancy the statistics get, it's all present in the way arrows group themselves around their intended target, which was a pointed stick stuck in a Greek hillside --- a stochos. 69.105.38.7 (talk) 06:14, 22 January 2013 (UTC)

This etymology is already mentioned in the Stochastic article, which is where I think it belongs. Statisfactions (talk) 16:18, 23 January 2013 (UTC)

## Random fields vs. Stochastic processes

This article says that a "basic type of a stochastic process is a random field". But the random field article states that it is a generalization of a stochastic process. Which is which? Statisfactions (talk) 16:33, 23 January 2013 (UTC)

## "C*-algebras of random variables"

There is an opaque mentioning of "C*-algebras of random variables", and the GNS construction in the construction section. Maybe it should say von Neumann algebras to be more specific? Could someone knowledgeable elaborate on that in the article? Presumably this refers to the C*-approach to conditional expectations (although I don't know what GNS has to do with it). Mct mht (talk) 11:04, 22 March 2013 (UTC)

Moreover, all this should go to some article about noncommutative probability, or at least to some article about different approaches to probability theory as whole. Why is it mentioned in the article on stochastic processes? Boris Tsirelson (talk) 13:31, 22 March 2013 (UTC)

## Historical information?

It would be nice to have a note on when the concept first appeared in the mathematical literature, and by whom. RMPK (talk) 22:35, 10 April 2013 (UTC)

## random variables are not natural numbers ?

The article says:"If both t and X_t belong to N, the set of natural numbers, ..." Is this correct ? How can the random variable X_t be a natural number ? — Preceding unsigned comment added by 213.54.36.209 (talk) 10:22, 14 June 2013 (UTC)

It is non-rigorous but quite usual, to say such things as "almost surely, X is a number between a and b", "almost surely, X is an integer" etc., when X is a random variable. Even more non-rigorous and still usual (especially among non-mathematicians) is, to omit the "almost surely". Boris Tsirelson (talk) 10:51, 14 June 2013 (UTC)