This function calculates the normalizing constant of a Mallows distribution under the Kendall distance

Statistical tools for the Mallows-Binomial model, the first joint statistical model for preference learning for rankings and ratings. This project was supported by the National Science Foundation under Grant No. 2019901.

Michael Pearce

rankrate

Joint Statistical Models for Preference Learning with Rankings
and Ratings

psi function

<dl><dt>theta</dt>
<dd>A numeric entry specifying the Mallows scale parameter.</dd>
<dt>J</dt>
<dd>A numeric entry or vector of positive integers indicating total number of objects each judge has access to.
If <code>length(J)&gt;1</code>, <code>R</code> must be of same length or a single value.</dd>
<dt>R</dt>
<dd>A numeric entry or vector of positive integers indicating the length of the ranking provided by each judge.
If <code>length(R)&gt;1</code>, <code>J</code> must be of same length or a single value.</dd>
<dt>log</dt>
<dd>A boolean indicating if <code>log(psi)</code> should be returned.</dd></dl>

Arguments

Normalizing constant function of a Mallows distribution, psi — psi

<dl>

<dt>theta</dt>
<dd>A numeric entry specifying the Mallows scale parameter.</dd>


<dt>J</dt>
<dd>A numeric entry or vector of positive integers indicating total number of objects each judge has access to.
If <code>length(J)&gt;1</code>, <code>R</code> must be of same length or a single value.</dd>


<dt>R</dt>
<dd>A numeric entry or vector of positive integers indicating the length of the ranking provided by each judge.
If <code>length(R)&gt;1</code>, <code>J</code> must be of same length or a single value.</dd>


<dt>log</dt>
<dd>A boolean indicating if <code>log(psi)</code> should be returned.</dd>

</dl>

psi: Normalizing constant function of a Mallows distribution, psi

Description

Usage

Value

Arguments

Examples