sspace_multinom_slow

We have \(d\) mutually exclusive outcomes and \(n\) independent trials.
This function enumerates all possible vectors of length \(d\) of counts of
each outcome for \(n\) trials, i.e., the sample space. The result is output
as a matrix with \(d\) columns where each row represents a possible
observation. See sspace_multinom for a faster implementation using Rust.

We consider the problem where we observe k vectors (possibly of different lengths), each representing an independent multinomial random vector. For a given function that takes in the concatenated vector of multinomial probabilities and outputs a real number, this is a Monte Carlo estimation procedure of an exact p-value and confidence interval. The resulting inference is valid even in small samples, when the parameter is on the boundary, and when the function is not differentiable at the parameter value, all situations where asymptotic methods and the bootstrap would fail. For more details see Sachs, Fay, and Gabriel (2025) <doi:10.48550/arXiv.2406.19141>.

Michael Sachs

xactonomial

Inference for Functions of Multinomial Parameters

Michael C Sachs

Michael P Fay

Erin E Gabriel

David B Dahl

sspace_multinom_slow function

<dl><dt>d</dt>
<dd>Dimension</dd>
<dt>n</dt>
<dd>Size</dd></dl>

Arguments

Enumerate the sample space of a multinomial — sspace_multinom_slow

<dl>

<dt>d</dt>
<dd>Dimension</dd>


<dt>n</dt>
<dd>Size</dd>

</dl>

sspace_multinom_slow: Enumerate the sample space of a multinomial

Description

Usage

Value

Arguments

Examples