More on Bounds

• Extension for log-linear models and margins corresponding to reducible graphs.

• For 2k tables with (k-1) dimensional margins fixed (need one extra bound here and it comes from log-linear model theory: existence of MLEs).

  • Extend to general k-way case by looking at all possible collapsed 2k tables.

• General “shuttle” algorithm in Dobra (2002) works for all cases.

  • Also generates most special cases with limited extra computation.

Notes: