Fourier_series-class

Fourier_series

A s4 class that represents the linear combination of Fourier basis functions below:
$$\frac{a_0}{2} +
\sum_{k=1}^{p_a} a_k \cos{(\frac{2\pi}{T}k(x-t_0))} +
\sum_{k=1}^{p_b} b_k \sin{(\frac{2\pi}{T}k(x-t_0))},
\qquad x\in[t_0,t_0+T]$$

Solve scalar-on-function linear models,
including generalized linear mixed effect model and quantile linear regression model,
and bias correction estimation methods due to measurement error.
Details about the measurement error bias correction methods, see
Luan et al. (2023) <doi:10.48550/arXiv.2305.12624>,
Tekwe et al. (2022) <doi:10.1093/biostatistics/kxac017>,
Zhang et al. (2023) <doi:10.5705/ss.202021.0246>,
Tekwe et al. (2019) <doi:10.1002/sim.8179>.

Heyang Ji

MECfda

Scalar-on-Function Regression with Measurement Error Correction

Ufuk Beyaztas

Nicolas Escobar-Velasquez

Yuanyuan Luan

Xiwei Chen

Mengli Zhang

Roger Zoh

Lan Xue

Carmen Tekwe

Fourier_series-class function

<dl>
<dt><code>double_constant</code></dt>
<dd>value of $a_0$.</dd></dl>
<dt><code>cos</code></dt>
<dd>values of coefficients of $\cos$ waves, $a_k$.</dd>
<dt><code>sin</code></dt>
<dd>values of coefficients of $\sin$ waves, $b_k$.</dd>
<dt><code>k_cos</code></dt>
<dd>values of $k$ corresponding to the coefficients of $\cos$ waves</dd>
<dt><code>k_sin</code></dt>
<dd>values of $k$ corresponding to the coefficients of $\sin$ waves</dd>
<dt><code>t_0</code></dt>
<dd>left end of the domain interval, $t_0$</dd>
<dt><code>period</code></dt>
<dd>length of the domain interval, $T$.</dd>

Slots

Author

s4 class of Fourier summation series — Fourier_series-class

<dl>
<dt><code>double_constant</code></dt>
<dd>value of $a_0$.</dd>


<dt><code>cos</code></dt>
<dd>values of coefficients of $\cos$ waves, $a_k$.</dd>


<dt><code>sin</code></dt>
<dd>values of coefficients of $\sin$ waves, $b_k$.</dd>


<dt><code>k_cos</code></dt>
<dd>values of $k$ corresponding to the coefficients of $\cos$ waves</dd>


<dt><code>k_sin</code></dt>
<dd>values of $k$ corresponding to the coefficients of $\sin$ waves</dd>


<dt><code>t_0</code></dt>
<dd>left end of the domain interval, $t_0$</dd>


<dt><code>period</code></dt>
<dd>length of the domain interval, $T$.</dd>


</dl>

s4 class of Fourier summation series

Fourier_series-class: s4 class of Fourier summation series

Description

Arguments

Slots

Author

Details

Examples