StartParam function

Initializes the Parameters for Estimation Procedures

Subroutine called by the fitting procedures. The procedure initializes the parameters for the fitting procedure. UTF-8

StartParam(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,typereal,  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.

• 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 lag considered in the composite-likelihood computation.

• radius: Numeric; the radius of the sphere in the case of lon-lat coordinates. The default is 6371, the radius of the earth.

• model: String; the density associated to the likelihood objects. Gaussian is the default.

• n: Numeric; number of trials for binomial random fields.

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

• parscale: A numeric vector of scaling factor to improve the maximizing procedure, see optim.

• paramrange: A numeric vector of parameters ranges, see optim.

• start: A named list with the initial values of the parameters that are used by the numerical routines in maximization procedure.

• 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 adaptive taper (see Details ).

• type: String; the type of likelihood objects. Temporary value set to be "WLeastSquare" (weigthed least-square) in order to compute the starting values.

• typereal: String; the real type of likelihood objects. See GeoFit.

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

• copula: The type of copula.

• X: Numeric; Matrix of space-time covariates.

• 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 WlsStart.

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