.mig_mle

The maximum likelihood estimators are obtained for fixed shift vector \(\boldsymbol{a}\)
and half-space vector \(\boldsymbol{\beta}\).

internal

Provides utilities for estimation for the multivariate inverse Gaussian distribution of Minami (2003) <doi:10.1081/STA-120025379>, including random vector generation and explicit estimators of the location vector and scale matrix. The package implements kernel density estimators discussed in Belzile, Desgagnes, Genest and Ouimet (2024) <doi:10.48550/arXiv.2209.04757> for smoothing multivariate data on half-spaces.

Leo Belzile

Multivariate Inverse Gaussian Distribution

Frederic Ouimet

.mig_mle function

<dl><dt>x</dt>
<dd><code>n</code> by <code>d</code> matrix of quantiles</dd>
<dt>beta</dt>
<dd><code>d</code> vector \(\boldsymbol{\beta}\) defining the half-space through \(\boldsymbol{\beta}^{\top}\boldsymbol{\xi}&gt;0\)</dd>
<dt>shift</dt>
<dd><code>d</code> translation for the half-space \(\boldsymbol{a}\)</dd></dl>

Arguments

Maximum likelihood estimation of multivariate inverse Gaussian vectors — .mig_mle

<dl>

<dt>x</dt>
<dd><code>n</code> by <code>d</code> matrix of quantiles</dd>


<dt>beta</dt>
<dd><code>d</code> vector \(\boldsymbol{\beta}\) defining the half-space through \(\boldsymbol{\beta}^{\top}\boldsymbol{\xi}&gt;0\)</dd>


<dt>shift</dt>
<dd><code>d</code> translation for the half-space \(\boldsymbol{a}\)</dd>

</dl>

.mig_mle: Maximum likelihood estimation of multivariate inverse Gaussian vectors

Description

Usage

Value

Arguments