WlsStart function

Computes Starting Values based on Weighted Least Squares

Subroutine called by GeoFit. The function returns opportune starting values for the composite-likelihood fitting procedure based on weigthed least squares. UTF-8

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

Arguments

• coordx: A numeric ($d x 2$)-matrix or ($d x 3$)-matrix Coordinates on a sphere for a fixed radius radius

  are passed in lon/lat format expressed in decimal degrees.

• coordy: A numeric vector giving 1-dimension of spatial coordinates; Optional argument, the default is NULL.

• coordz: A numeric vector giving 1-dimension of spatial coordinates; Optional argument, the default is NULL.

• coordt: A numeric vector assigning 1-dimension of temporal coordinates.

• coordx_dyn: A list of $m$ numeric ($d x 2$)-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 ($n x d$)-matrix or ($d x d x n$)-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 ($n x d$)-matrix, instead if TRUE then ($d x d x n$)-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.

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

• copula: String; the type of copula. It can be "Clayton" or "Gaussian"

• 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

Returns

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

Details

Internal function called by GeoFit.

See Also

GeoFit.

Author(s)

Moreno Bevilacqua, moreno.bevilacqua89@gmail.com ,https://sites.google.com/view/moreno-bevilacqua/home, Víctor Morales Oñate, victor.morales@uv.cl , https://sites.google.com/site/moralesonatevictor/, Christian", Caamaño-Carrillo, chcaaman@ubiobio.cl ,https://www.researchgate.net/profile/Christian-Caamano