Distributed
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
- xdist can be entered as x dist dist x \[Distributed] dist .
- xdist is a symbolic object used in functions such as Probability and Expectation.
- xproc[t] asserts that the random variable x is distributed according to the distribution SliceDistribution[proc,t] for the random process proc.
- The probability distribution dist can be any symbolic probability distribution specification.
Examples
open allclose allBasic 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:
Text
Wolfram Research (2010), Distributed, Wolfram Language function, https://reference.wolfram.com/language/ref/Distributed.html.
CMS
Wolfram Language. 2010. "Distributed." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Distributed.html.
APA
Wolfram Language. (2010). Distributed. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Distributed.html