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On Statistics Independent of Sufficient Statistics

  • Basu D
Springer New York, (2011), 69-72
DOI: 10.1007/978-1-4419-5825-9_16
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Abstract

In an earlier paper (1955) the author stated that any statistic independent of a sufficient statistic must have the same distribution for all values of the unknown parameter. An example is given here to show that the proposition is not true in the generality stated above. Conditions under which the proposition is true are discussed.

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Basu, D. (2011). On Statistics Independent of Sufficient Statistics. In Selected Works of Debabrata Basu (pp. 69–72). Springer New York. https://doi.org/10.1007/978-1-4419-5825-9_16

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