Key points are not available for this paper at this time.
Anne B. Koehler, Emily S. Murphree, A Comparison of the Akaike and Schwarz Criteria for Selecting Model Order, Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 37, No. 2 (1988), pp. 187-195
Koehler et al. (Fri,) studied this question.