Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria

Table 1

Estimates of the various versions of the indicator for the problematic examples of the comparison between a polynomial (model 1) and a sinusoid (model 2) introduced in Section 2.

	BIC	AIC	BICMF	AICMF	BICBS	AICBS	BICPS	AICPS
Polynomial (correct)	−1151	−1172	−1151	−1172	−1151	−1172	−1321	−1342
Sine (incorrect)	−1167	−1178	−922	−933	−1167	−1178	−1150	−1161
Model selected	2	2	1	1	2	2	1	1
Result	Wrong	Wrong	Correct	Correct	Wrong	Wrong	Correct	Correct