mean.rv: Distribution of the Arithmetic Mean of a Random Vector

Description

mean.rv computes the distribution of the arithmetic average of its argument rv object.

Usage

# S3 method for rv
mean(x, …)

Arguments

an object

…

further arguments passed to or from other methods

Details

mean gives the distribution (that is, a random variable object) of the statistic \(\frac{1}{n}\sum_{i=1}^n x_i\) (sum(x)/length(x)). In particular, mean(x) of a random vector x of length one is equal to x as it would be in the case of numerical x. To find the expectation of a random vector x (that is, the individual means of random components in a vector), use rvmean(x) (same as E(x) and Pr(x)).

References

Kerman, J. and Gelman, A. (2007). Manipulating and Summarizing Posterior Simulations Using Random Variable Objects. Statistics and Computing 17:3, 235-244. See also vignette("rv").

Examples

Run this code

  y <- rvnorm(10, mean=0, sd=1)
  m1 <- mean(y)
  m2 <- rvnorm(1, mean=0, sd=1/sqrt(10))
  print(c(m1, m2)) # should have the same distribution