Abstract
Partly of an expository nature, this article brings together a number of notions related to sufficiency in an abstract measure theoretic setting. The notion of a coherent statistical model, as introduced by Hasegawa and Perlman [6], is studied in some details. A few results are generalized and their earlier proofs simplified. Among other things, it is shown that a coherent model can be connected in the sense of Basu [2] if and only if no splitting set (Koehn and Thomas, [7]) exists.
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Acknowledgments
Work of the first author is Partially suppoprt by NSF Grant No. 79-04693
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Basu, D., Cheng, S. (2011). A Note on Sufficiency in Coherent Models. 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_30
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DOI: https://doi.org/10.1007/978-1-4419-5825-9_30
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