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GNARdesign

Function to create the GNAR design matrix

Description

Creates the design matrix necessary for fitting the GNAR model.

Usage

GNARdesign(vts = GNAR::fiveVTS, net = GNAR::fiveNet, alphaOrder = 2, betaOrder = c(1,1),
 fact.var = NULL, globalalpha=TRUE, tvnets=NULL, netsstart=NULL)

Arguments

vts

a matrix or ts object containing the multivariate time series to be modelled. The i,j entry of this matrix should be for time i and vertex/node j.
net

the (first) network associated with the time series, containing a list with entries $edges and $dist. This network should have the same number of nodes as the number of columns of the vts matrix.
alphaOrder

a non-negative integer specifying the maximum time-lag to model.
betaOrder

a vector of length alphaOrder specifying the maximum neighbour set to model at each of the time-lags.
fact.var

a vector of factors indicating which nodes belong to each set with different parameters to be fitted.
globalalpha

a TRUE/FALSE value indivating whether to use global alpha parameters.
tvnets

a list of additional networks. Currently only NULL (the static network case) is supported.
netsstart

a vector of times corresponding to the first time points for each network of tvnets. Currently only NULL (the static network case) is supported.

Value

GNARdesign

returns a matrix containing (t-alphaOrder)nnodes rows and a column for each parameter to be fitted. The columns are in time-lag order, eg for GNAR(2,[1,0]) the columns are alpha1, beta1.1, alpha2. When a factor variable is specified the columns are labelled with the factor.

Examples

#Design matrix to fit GNAR(2,[1,1]) to the fiveVTS data
GNARdesign()
GNAR

Methods for Fitting Network Time Series Models

v1.1.1
GPL-2
Authors
Kathryn Leeming [aut], Guy Nason [aut], Matt Nunes [aut, cre], Marina Knight [ctb]
Initial release
2020-11-10

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