Commentary on D. Basu’s Papers on Sufficiency and Related Topics

It is an honour and a pleasure to be able to offer this commentary on some of D. Basu’s papers on sufficiency and related topics. In the early 1970s, we thought that we might write a book together on sufficiency. We had many discussions and exchanged a fair amount of material. In particular, we prepared a bibliography on sufficiency which was reasonably comprehensive at the time (Basu and Speed (1975)). But the planned book never came to fruition. I have not worked on this topic since the late 1970s. So the experience of writing this commentary has been a pleasant walk down the memory lane. However, it also means that I may be unaware of some relevant later developments. Accordingly, I begin with an apology in advance to the readers for any such oversight or errors.

Caveat lector!