transform_parameters_spacetime

This function takes a vector of transformed parameters and applies the appropriate
transformations to return them in the original scale for use in spacetime SPDE models.

Functions that compute rational approximations of fractional elliptic stochastic partial differential equations. The package also contains functions for common statistical usage of these approximations. The main references for rSPDE are Bolin, Simas and Xiong (2023) <doi:10.1080/10618600.2023.2231051> for the covariance-based method and Bolin and Kirchner (2020) <doi:10.1080/10618600.2019.1665537> for the operator-based rational approximation. These can be generated by the citation function in R.

David Bolin

rSPDE

Rational Approximations of Fractional Stochastic Partial
Differential Equations

Alexandre Simas

Finn Lindgren

transform_parameters_spacetime function

<dl><dt>theta</dt>
<dd>A numeric vector containing the transformed parameters in this order:<dl>
<dt>lkappa</dt>
<dd>The logarithmic representation of kappa.</dd></dl></dd><dt>lsigma</dt>
<dd>The logarithmic representation of sigma.</dd><dt>lgamma</dt>
<dd>The logarithmic representation of gamma.</dd><dt>logit_rho (optional)</dt>
<dd>The logit-transformed representation of rho, if drift = 1.</dd><dt>logit_rho2 (optional)</dt>
<dd>The logit-transformed representation of rho2, if drift = 1 and d = 2.</dd>
</dl>
<dt>st_model</dt>
<dd>A list containing the spacetime model parameters:<dl>
<dt>d</dt>
<dd>The dimension (e.g., 1 or 2).</dd></dl></dd><dt>bound</dt>
<dd>The bound for rho and rho2.</dd><dt>is_bounded</dt>
<dd>A logical value indicating if rho and rho2 are bounded.</dd><dt>drift</dt>
<dd>A logical value indicating if drift is included in the model.</dd>

Arguments

Transform Spacetime SPDE Model Parameters to Original Scale — transform_parameters_spacetime

<dl>

<dt>theta</dt>
<dd>A numeric vector containing the transformed parameters in this order:<dl>
<dt>lkappa</dt>
<dd>The logarithmic representation of kappa.</dd>

<dt>lsigma</dt>
<dd>The logarithmic representation of sigma.</dd>

<dt>lgamma</dt>
<dd>The logarithmic representation of gamma.</dd>

<dt>logit_rho (optional)</dt>
<dd>The logit-transformed representation of rho, if drift = 1.</dd>

<dt>logit_rho2 (optional)</dt>
<dd>The logit-transformed representation of rho2, if drift = 1 and d = 2.</dd>


</dl></dd>


<dt>st_model</dt>
<dd>A list containing the spacetime model parameters:<dl>
<dt>d</dt>
<dd>The dimension (e.g., 1 or 2).</dd>

<dt>bound</dt>
<dd>The bound for rho and rho2.</dd>

<dt>is_bounded</dt>
<dd>A logical value indicating if rho and rho2 are bounded.</dd>

<dt>drift</dt>
<dd>A logical value indicating if drift is included in the model.</dd>


</dl></dd>

</dl>

transform_parameters_spacetime: Transform Spacetime SPDE Model Parameters to Original Scale

Description

Usage

Value

Arguments