@@ -260,9 +260,9 @@ typically acquired discretely at a set of grid points and are
260260susceptible to contamination by random noise. This phenomenon can be
261261represented as follows:
262262
263- $$ \label{discr_data}
264-
265- Y_{i,k} = y_{i}(t_k) +\varepsilon_{i,k}, \quad k=1,\ldots, K. (\#eq:discr-data) $$
263+ $$
264+ Y_{i,k} = y_{i}(t_k) +\varepsilon_{i,k}, \quad k=1,\ldots, K. (\#eq:discr-data)
265+ $$
266266
267267In this expression, $t_k\in\mathcal{T}$, and $K$ denotes the count of
268268discrete grid points across all samples. The $\varepsilon_ {i,k}$ terms
@@ -279,9 +279,9 @@ $\mathbb{H}$. Each sample function $y_{i}(\cdot)$ in
279279\@ ref(eq: discr-data ) is then considered as a finite linear combination
280280of the first $d$ basis functions:
281281
282- $$ \label{basis_expan}
283-
284- y_i(s)= \sum_{j=1}^d c_{ij}\nu_j(s). (\#eq:basis-expan) $$
282+ $$
283+ y_i(s)= \sum_{j=1}^d c_{ij}\nu_j(s). (\#eq:basis-expan)
284+ $$
285285
286286Subsequently, the coefficients $c_ {ij}$ can be estimated using least
287287square techniques. By adopting the linear representation form for the
@@ -569,16 +569,16 @@ knitr::include_graphics(c("figures/roadmap.png"))
569569The roadmap of the main functions used in the
570570[ ** Rfssa** ] ( https://CRAN.R-project.org/package=Rfssa ) package is given
571571in Figure \@ ref(fig: figroadpap ). The inputs and outputs of these
572- functions are described in Table \@ ref(tab: 1). As it can be seen from
573- Table \@ ref(tab: 1), three classes (` funts ` , ` fssa ` and ` fforecast ` ) are
572+ functions are described in Table [ 1 ] ( #tbl:tab- 1) . As it can be seen from
573+ Table [ 1 ] ( #tbl:tab- 1) , three classes (` funts ` , ` fssa ` and ` fforecast ` ) are
574574used to support the return objects of theses functions. The
575575` funts( ` $\cdot$` ) ` , ` fssa( ` $\cdot$` ) ` and ` fforecast( ` $\cdot$` ) `
576576functions are the constructors of the ` funts ` , ` fssa ` and ` fforecast `
577577classes, respectively. In the rest of this section we present these
578578classes with illustrative examples, and later we describe the
579579reconstruction and forecasting functions in details.
580580
581- ::: {#tab: 1}
581+ ::: {#tbl : tab- 1 }
582582 -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
583583 Function Descriptions Returns
584584 --------------------------- ------------------------------------------------------------------------------------------ --------------------------------------------------------------------------------------------------------------------------------------------------------------------------- ----------------------------------------------------------------------------
@@ -591,8 +591,7 @@ reconstruction and forecasting functions in details.
591591 ` fforecast( ` $\cdot$` ) ` Performs FSSA R-forecasting or FSSA V-forecasting. An object of class ` fssa ` , list of numeric vectors includes indices of elementary components of a group used for reconstruction and forecasting and forecast horizon $h$. An object of class ` fforecast ` .
592592 -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
593593
594- : Table 1: A summary of FSSA written functions in the
595- [ ** Rfssa** ] ( https://CRAN.R-project.org/package=Rfssa ) package.
594+ : Table 1: A summary of FSSA written functions in the [ ** Rfssa** ] ( https://CRAN.R-project.org/package=Rfssa ) package.
596595:::
597596
598597### The ` funts ` class {#subsec: fts }
0 commit comments