lln: Law of Large Numbers Limiting Distribution
In algebraic.dist: Algebra over Probability Distributions
lln R Documentation
Law of Large Numbers Limiting Distribution
Description
Returns the degenerate limiting distribution of the sample mean
\bar{X}_n under the Law of Large Numbers. The limit is a
point mass at the population mean (represented as a normal or mvn
with zero variance).
Usage
lln(base_dist)
Arguments
base_dist
A dist object representing the base distribution.
Value
A normal or mvn distribution with zero variance,
representing the degenerate distribution at the mean.
Examples
# LLN for Exp(2): Xbar -> 1/2 (degenerate)
x <- exponential(rate = 2)
d <- lln(x)
mean(d)
vcov(d)
algebraic.dist documentation built on Feb. 27, 2026, 5:06 p.m.
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| lln | R Documentation |
Law of Large Numbers Limiting Distribution
Description
Returns the degenerate limiting distribution of the sample mean
\bar{X}_n under the Law of Large Numbers. The limit is a
point mass at the population mean (represented as a normal or mvn
with zero variance).
Usage
lln(base_dist)
Arguments
base_dist |
A |
Value
A normal or mvn distribution with zero variance,
representing the degenerate distribution at the mean.
Examples
# LLN for Exp(2): Xbar -> 1/2 (degenerate)
x <- exponential(rate = 2)
d <- lln(x)
mean(d)
vcov(d)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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