Abstract

We would like to thank all the discussants for their contributions. Our paper attempts only a first step towards a satisfactory linkage between complexity theory and coding-based inference and these discussions will help to blaze the paths for future exploration. We also take this opportunity to remind the reader that, in our opinion, MDL and MML agree on many, many points. While we certainly disagree with Dr Rissanen and he with us on quite a few points, we certainly acknowledge that these disagreements would understandably appear both infrequent and minor from the perspective of someone who knew relatively little about MDL and MML.

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