phi_n

phi_n() function gives the value of \(\widehat{\phi}(x)=\frac{1}{b^2_n}\frac{\sum\limits_{\underset{ }{s=1}}^{S}\sum\limits_{\underset{}{r=0}}^{m-1}\left(x-Z_{s+Sr}\right)\exp\left(-\frac{\left(x-Z_{s+Sr} \right)^2}{2b_n^2}\right) }{\sum\limits_{\underset{}{s=1}}^{S}\sum\limits_{\underset{}{r=0}}^{m-1}\exp\left(-\frac{\left(x-Z_{s+Sr} \right)^2}{2b_n^2}\right) } \) with \(b_n=0.002\).

Provides tools for fitting periodic coefficients regression models to data where periodicity plays a crucial role. It allows users to model and analyze relationships between variables that exhibit cyclical or seasonal patterns, offering functions for estimating parameters and testing the periodicity of coefficients in linear regression models. For simple periodic coefficient regression model see Regui et al. (2024) <doi:10.1080/03610918.2024.2314662>.

Slimane Regui

PerRegMod

Fitting Periodic Coefficients Linear Regression Models

Abdelhadi Akharif

Amal Mellouk

phi_n function

<dl> <dt>x</dt>
<dd>A numeric value.</dd></dl>

Arguments

Calculating the value of \(\phi\) function — phi_n

<dl>

 <dt>x</dt>
<dd>A numeric value.</dd>

</dl>

phi_n: Calculating the value of \(\phi\) function

Description

Usage

Value

Arguments