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).

Provides an algebra over probability distributions enabling
composition, sampling, and automatic simplification to closed forms.
Supports normal, exponential, gamma, Weibull, chi-squared, uniform,
beta, log-normal, Poisson, multivariate normal, empirical, and mixture
distributions with algebraic operators (addition, subtraction,
multiplication, division, power, exp, log, min, max) that automatically
simplify when mathematical identities apply. Includes closed-form MVN
conditioning (Schur complement), affine transformations, mixture
marginals/conditionals (Bayes rule), and limiting distribution builders
(CLT, LLN, delta method). Uses S3 classes for distributions and R6
for support objects.

Alexander Towell

algebraic.dist

Algebra over Probability Distributions

lln function

<dl><dt>base_dist</dt>
<dd>A <code>dist</code> object representing the base distribution.</dd></dl>

Arguments

Law of Large Numbers Limiting Distribution — lln

<dl>

<dt>base_dist</dt>
<dd>A <code>dist</code> object representing the base distribution.</dd>

</dl>

lln: Law of Large Numbers Limiting Distribution

Description

Usage

Value

Arguments

Examples