Abstract
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!
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Keywords
- Nuisance Parameter
- Ancillary Statistic
- Decision Theoretic Framework
- Suitable Regularity Condition
- High Order Asymptotics
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Speed, T. (2011). Commentary on D. Basu’s Papers on Sufficiency and Related Topics. In: DasGupta, A. (eds) Selected Works of Debabrata Basu. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5825-9_9
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