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Table 8 Simulation results for Example 2: Mean and standard deviations of the RMSE for three different estimators of xn,2, namely, O2, the posterior mean based on SIR and the posterior mean based on TS

From: A weighted likelihood criteria for learning importance densities in particle filtering

Exp. no.

(Q,R)

R/Q

RMSE for xn,2

   

O 2

SIR

TS

   

Mean

SD

Mean

SD

Mean

SD

1

(0.05,0.1)

2.0

0.0988

0.0189

0.0745

0.0284

0.0500

0.0050

2

(0.1,0.1)

1.0

0.0988

0.0189

0.1288

0.0659

0.0654

0.0088

3

(0.2,0.1)

0.5

0.0988

0.0189

0.2423

0.1643

0.1146

0.0499

4

(0.5,0.1)

0.2

0.0988

0.0189

0.6131

0.4831

0.2293

0.1181

5

(1.0,0.1)

0.1

0.1007

0.0150

1.5960

1.4733

0.2881

0.1205

6

(0.1,1.0)

10.0

0.9569

0.1735

0.3094

0.1273

0.3027

0.1210

7

(0.2,1.0)

5.0

0.9910

0.1608

0.3606

0.0862

0.3440

0.0568

8

(0.5,1.0)

2.0

1.0473

0.1379

1.4103

0.7227

0.7169

0.1229

9

(1.0,1.0)

1.0

0.9946

0.1457

1.2677

0.6478

0.6411

0.1119