WlsStart {GeoModels}

Computes Starting Values based on Weighted Least Squares

Description

Subroutine called by GeoFit. The function returns opportune starting values for the composite-likelihood fitting procedure based on weigthed least squares.

Usage

WlsStart(coordx, coordy, coordt, coordx_dyn, corrmodel, data, distance, fcall,
        fixed, grid,likelihood, maxdist, neighb,maxtime, model, n, param, 
        parscale, paramrange, radius,start, taper, tapsep, type, varest,
        vartype, weighted, winconst,winconst_t, winstp_t, winstp,copula,X,memdist,nosym)

Arguments

coordx

A numeric (d \times 2)-matrix (where d is the number of points) assigning 2-dimensions of coordinates or a numeric vector assigning 1-dimension of coordinates.

coordy

A numeric vector assigning 1-dimension of coordinates; coordy is interpreted only if coordx is a numeric vector otherwise it will be ignored.

coordt

A numeric vector assigning 1-dimension of temporal coordinates.

coordx_dyn

A list of m numeric (d_t \times 2)-matrices containing dynamical (in time) spatial coordinates. Optional argument, the default is NULL

corrmodel

String; the name of a correlation model, for the description.

data

A numeric vector or a (n \times d)-matrix or (d \times d \times n)-matrix of observations.

distance

String; the name of the spatial distance. The default is Eucl, the euclidean distance. See the Section Details.

fcall

String; "fitting" to call the fitting procedure and "simulation" to call the simulation procedure.

fixed

A named list giving the values of the parameters that will be considered as known values.

grid

Logical; if FALSE (the default) the data are interpreted as a vector or a (n \times d)-matrix, instead if TRUE then (d \times d \times n)-matrix is considered.

likelihood

String; the configuration of the composite likelihood.

maxdist

Numeric; an optional positive value indicating the maximum spatial distance considered in the composite-likelihood computation.

neighb

Numeric; an optional positive integer indicating the order of neighborhood in the composite likelihood computation. See the Section Details for more information.

maxtime

Numeric; an optional positive value indicating the maximum temporal separation considered in the composite-likelihood computation.

model

String; the name of the model. Here the default is NULL.

n

Numeric; number of trials in a binomial random field.

param

A numeric vector of parameter values required in the simulation procedure of random fields.

parscale

A numeric vector with scaling values for improving the maximisation routine.

paramrange

A numeric vector with the range of the parameter space.

radius

Numeric; a value indicating the radius of the sphere when using the great circle distance. Default value is the radius of the earth in Km (i.e. 6371)

start

A numeric vector with starting values.

taper

String; the name of the type of covariance matrix. It can be Standard (the default value) or Tapering for taperd covariance matrix.

tapsep

Numeric; an optional value indicating the separabe parameter in the space time quasi taper (see Details).

type

String; the type of estimation method.

varest

Logical; if TRUE the estimates' variances and standard errors are returned. FALSE is the default.

vartype

String; the type of estimation method for computing the estimate variances, see the Section Details.

weighted

Logical; if TRUE the likelihood objects are weighted, see GeoFit.

winconst

Numeric; a positive value for computing the spatial sub-window in the sub-sampling procedure.

winstp

Numeric; a value in (0,1] for defining the the proportion of overlapping in the spatial sub-sampling procedure.

winconst_t

Numeric; a positive value for computing the temporal sub-window in the sub-sampling procedure.

winstp_t

Numeric; a value in (0,1] for defining the the proportion of overlapping in the temporal sub-sampling procedure.

copula

The type of copula.

X

Numeric; Matrix of spatio(temporal)covariates in the linear mean specification.

memdist

Logical; if TRUE then the distances in the composite likelihood are computed before the optmization.

nosym

Logical; if TRUE two simmetric weights are not considered

Details

Internal function called by GeoFit.

Value

A list with a set of useful informations in the estimation procedure.

Author(s)

Moreno Bevilacqua, [e-mail],https://sites.google.com/view/moreno-bevilacqua/home, Víctor Morales Oñate, [e-mail], https://sites.google.com/site/moralesonatevictor/, Christian", Caamaño-Carrillo, [e-mail],https://www.researchgate.net/profile/Christian-Caamano

See Also

GeoFit.