dmudr {assist} | R Documentation |
To calculate a spline estimate with multiple smoothing parameters
dmudr(y, q, s, weight = NULL, vmu = "v", theta = NULL, varht = NULL, tol = 0, init = 0, prec = 1e-06, maxit = 30)
y |
a numerical vector representing the response. |
q |
a list, or an array, of square matrices of the same order as the length of y, which are the reproducing kernels evaluated at the design points. |
s |
the design matrix of the null space H_0 of size (length-of-y,dim(H_0)), with elements equal to the bases of H_0 evaluated at design points. |
weight |
a weight matrix for penalized weighted least-square: (y-f)'W(y-f)+nλ J(f). Default is NULL for iid random errors. |
vmu |
a character string specifying a method for choosing the smoothing parameter. "v", "m" and "u" represent GCV, GML and UBR respectively. "u~", only used for non-Gaussian family, specifies UBR with estimated variance. Default is "v". |
theta |
If ‘init=1’, theta includes intial values for smoothing parameters. Default is NULL. |
varht |
needed only when vmu="u", which gives the fixed variance in calculation of the UBR function. Default is NULL. |
tol |
the tolerance for truncation in the tridiagonalization. Default is 0.0. |
init |
an integer of 0 or 1 indicating if initial values are provided for theta. If init=1, initial values are provided using theta. Default is 0. |
prec |
precision requested for the minimum score value, where precision is the weaker of the absolute and relative precisions. Default is 1e-06. |
maxit |
maximum number of iterations allowed. Default is 30. |
info |
an integer that provides error message. info=-1 indicates dimension error, info=-2 indicates F_{2}^{T} Q_{*}^{θ} F_{2} !>= 0, info=-3 indicates tuning parameters are out of scope, info=-4 indicates fails to converge within maxite steps, info=-5 indicates fails to find a reasonable descent direction, info>0 indicates the matrix S is rank deficient with info=rank(S)+1. |
fit |
fitted values. |
c |
estimates of c. |
d |
estimates of d. |
resi |
vector of residuals. |
varht |
estimate of variance. |
theta |
estimates of parameters log10(θ). |
nlaht |
the estimate of log10(nobs*λ). |
score |
the minimum GCV/GML/UBR score at the estimated smoothing parameters. |
df |
equavilent degree of freedom. |
nobs |
length(y), number of observations. |
nnull |
dim(H_0), number of bases. |
nq |
length(rk), number of reproducing kernels. |
s,q,y |
changed from the inputs. |
Chunlei Ke chunlei\_ke@pstat.ucsb.edu and Yuedong Wang yuedong@pstat.ucsb.edu
Gu, C. (1989). RKPACK and its applications: Fitting smoothing spline models. Proceedings of the Statistical Computing Section, ASA, 42-51.
Wahba, G. (1990). Spline Models for Observational Data. SIAM, Vol. 59