generated by random variable vs generated by random source

Both phrases are correct, but they are used in different contexts. 'Generated by random variable' is used when referring to outcomes produced by a random variable in statistics or probability theory. On the other hand, 'generated by random source' is more general and can be used in various contexts where randomness is involved.

Last updated: March 20, 2024 • 516 views

generated by random variable

This phrase is correct and commonly used in statistics and probability theory to describe outcomes produced by a random variable.

This phrase is used in the context of statistics or probability theory to indicate that the outcomes are a result of a random variable.

Show examples from the web [+]

... 4.3 Borel and Lebesgue σ-algebras; 4.4 Product σ-algebra; 4.5 σ-algebra generated by cylinder sets; 4.6 σ-algebra generated by random variable or vector ...
Sep 15, 2015 ... Sigma-Algebra Generated by Random Variable X. Suppose that we are given a probability space (S, F, P) and a random variable X as.
Oct 25, 2015 ... Sigma Algebra Generated By Random Variable. PrepTalk. SubscribeSubscribed Unsubscribe 133133. Loading... Loading... Working... Add to ...
Sep 7, 2013 ... σ -algebra generated by random variable ..... sigma algebra generated by random variable · 3 · Question about sigma-algebra generated by a ...

Alternatives:

produced by a random variable
resulting from a random variable
generated by a stochastic process

generated by random source

This phrase is correct and can be used in various contexts where randomness is involved, not limited to statistics or probability theory.

This phrase is more general and can be used in different contexts to indicate that something is produced by a random source.

Show examples from the web [+]

in contrast to the traffic model generated by random source- destination pairs on a disk [13], [14], the outskirts of the disk have more traffic than the center area of ...
seen in Figure 4, in contrast to the traffic model generated by random source- destination pairs on a disk [19], [20], the outskirts of the disk have more traffic than ...
traffic model generated by random source-destination pairs on a disk [19], [20], the outskirts of the disk have more traffic than the center area of the disk. Hence ...
Oct 31, 2013 ... ... criteria of Dijkstra, road speed and road density. The trip can either be generated by random source-destination or according to activities [15].

Alternatives:

produced by a random source
resulting from a random source
generated randomly

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generated by random variable vs generated by random source