Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Library: kalman
See also: rICfil

Quantlet: calibrIC
Description: Auxiliary routine for rICfil Calibrates the robust IC's for a given State Space model to a given relative efficiency loss in terms of the MSE in the ideal model. The state-space model is assumed to be in the following form: y_t = H x_t + v_t x_t = F x_t-1 + w_t x_0 ~ (mu,Sig), v_t ~ (0,Q), w_t ~ (0,R) All parameters are assumed known.

Usage: {A,b,ctrl}=calibrIC(T,Sig,H,F,Q,R,typ,A0,b0,e,N,eps,itmax,expl,fact0,aus)
Input:
T number of observations/states to be filtered by rIC
Sig n x n covariance matrix of the initial state
H m x n matrix
F n x n matrix
Q m x m variance-covariance matrix
R n x n variance-covariance matrix
typ integer: either 0 for simultaneous clipping, 1 - for AO-separate-clipping, 2 - for IO-separate-clipping ( !!! not too good - better: mIC to be done later)
e numeric; efficiency loss to attain
A0 p x p; starting value for A; if 0 is entered I^{-1} is taken else if p>1 and dim(A0)==1 FI^{-1}*A0 is taken and if p==1 and A0<0 , -A0/FI is taken
b0 numeric; starting value for clipping height; if a nonpositive value is entered it is set to 1.6 sdv(component to be clipped)
N integer; MC-sample size / integration grid-points
eps numeric; exactitude
itmax integer; maximal number of Iterations
expl numeric (1.5<.<5) ; threshold for the changes in abs. value of A: beyond this value convergence is uncertain ~ 2
fact0 numeric (1.1< .<1.5 )!; factor determining how fast we descend from b to b ~1.2
aus integer; 0: no output during execution, 1: some output, 2: more output, 3: a lot of output
Output:
A T x n x n "vector" of A's
b T vector of clipping heights
ctrl T integer: tells if everything went well in step 1.. T (1 --- 0 else)

Note:

Example:
to be looked up in rICfil

Result:
n/a



Author: P. Ruckdeschel, 19991010
(C) MD*TECH Method and Data Technologies, 05.02.2006