Abstract
The main upsurge of late Professor R. A. Fisher’s theory of Statistical Inference took place within a brief span of about 10 years (1920–30) after the first world war. It was during this period that Fisher came out with the brilliant and now famous notions of (a) likelihood, (b) fiducial probability, (c) information and intrinsic accuracy, (d) sufficiency and (e) ancillary statistics and recovery of information — concepts around which the superstructure of the theory is built.
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Basu, D. (1958): On sampling with and without replacements. Sankhyā, 20, 287.
Basu, D. (1959): The family of ancillary statistics. Sankhyā, 21, 247.
Cox, D. R. (1958): Some problems connected with statistical inference. Ann. Math. Stat., 29, 357.
Fisher, R. A. (1925): Theory of statistical estimation. Proc. Camb. Phil. Soc, 22, 700.
Fisher, R. A. (1934): Two new properties of mathematical likelihood. Proc. Royal Soc, 144A, 285.
Fisher, R. A. (1935): The logic of inductive inference. J. Roy. Stat. Soc, 98, 39.
Fisher, R. A. (1936): Uncertain inference. Proc. American Academy of Arts and Sciences, 71, 245.
Fisher, R. A. (1956): Statistical Methods and Scientific Inference, Oliver and Boyd, London.
Owen, A. R. G. (1948): Ancillary statistics and fiducial distribution. Sankhyā, 9, 1.
Rao, C. R. (1952): Minimum variance estimation in distributions admitting ancillary statistics. Sankhyā, 12, 53.
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Basu, D. (2011). Recovery of Ancillary Information*. 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_19
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DOI: https://doi.org/10.1007/978-1-4419-5825-9_19
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