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Distributed[x,dist]
or xdist asserts that the random variable x is distributed according to the probability distribution dist.
Distributed[{x1,x2,…},dist]
or {x1,x2,…}dist asserts that the random vector {x1,x2,…} is distributed according to the multivariate probability distribution dist.
Details Examplesopen allclose all Basic Examples (3)Compute the probability of an event in a symbolic probability distribution:
Obtain the numerical value directly using NProbability:
Compute the expectation of a function in a multivariate probability distribution:
Mean and variance for the distribution obtained by transformation of a random variable:
Scope (5)Compute an expectation for a parametric distribution:
Use implicit time to compute a probabiity for a random process:
Obtain the same result using the corresponding slice distribution:
Compute an expectation for a multivariate slice of a random process:
Define a TransformedProcess:
Compute an expectation for a time slice of the process:
Simulate a TransformedProcess:
Generalizations & Extensions (1)Compute a probability for a distribution specified as a list:
Compare with the probability using the distribution itself:
Wolfram Research (2010), Distributed, Wolfram Language function, https://reference.wolfram.com/language/ref/Distributed.html. TextWolfram Research (2010), Distributed, Wolfram Language function, https://reference.wolfram.com/language/ref/Distributed.html.
CMSWolfram Language. 2010. "Distributed." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Distributed.html.
APAWolfram Language. (2010). Distributed. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Distributed.html
BibTeX@misc{reference.wolfram_2025_distributed, author="Wolfram Research", title="{Distributed}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/Distributed.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_distributed, organization={Wolfram Research}, title={Distributed}, year={2010}, url={https://reference.wolfram.com/language/ref/Distributed.html}, note=[Accessed: 12-July-2025 ]}
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