Abstract
In the 1925 paper [CP 42] discussed in the previous lecture, Fisher redefines the efficiency of a statistic, T, as the limiting value of the ratio I T/I S, where I T is the information contained in T while I S is that in the sample. He discusses efficiency both in small and large samples, and shows that if no sufficient statistic exists, then some loss of information will necessarily ensue upon the substitution of a single estimate for the original data upon which it was based.
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References
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© 1980 Springer-Verlag Berlin Heidelberg
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Runger, G. (1980). Some Numerical Illustrations of Fisher’s Theory of Statistical Estimation. In: Fienberg, S.E., Hinkley, D.V. (eds) R.A. Fisher: An Appreciation. Lecture Notes in Statistics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6079-0_11
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DOI: https://doi.org/10.1007/978-1-4612-6079-0_11
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