Complexity of structural models.
In Prague Stochastics'98. Proceedings of the Joint Session
of the 6th Prague Conference on Asymptotic Statistics and the 13th
Prague Conference on Information Theory, Statistical Decision Functions
and Random Processes vol. II, August 23-28, 1998, Prague, Czech Republic,
- Complexity of a model of conditional independence
structure is introduced as the least cardinality of a generating set.
Four basic types of complexity are distinguished which depend on the
type of generating. A method of calculation of complexity of a given
conditional independence model is proposed. The method is based on
a more effective way of representation of the model by means of a list
of dominant conditional independence statements. Prospects of the
proposed approach are discussed in the end.
- AMS classification 68T30, 62H05
- probabilistic model
- dominant triplet
pdf copy (converted postscript version) (185kB) is available.
The paper partially builds on the work: