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5 - Alan Turing and Enigmatic Statistics

from Part One - Inside Our Computable World, and the Mathematics of Universality

Published online by Cambridge University Press:  05 March 2016

Kanti V. Mardia
Affiliation:
University of Leeds, Leeds LS2 9JT, UK
S. Barry Cooper
Affiliation:
University of Leeds, Leeds LS2 9JT, UK
S. Barry Cooper
Affiliation:
University of Leeds
Andrew Hodges
Affiliation:
University of Oxford
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The Once and Future Turing
Computing the World
, pp. 78 - 89
Publisher: Cambridge University Press
Print publication year: 2016

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References

Aitken, C.G.G. (1995). Statistics and the Evaluation of Evidence for Forensic Scientists.Wiley.
Banks, D.L. (1996). A Conversation with I.J. Good.Statistical Science, 11, 1–19.Google Scholar
Cooper, S.B. (2012). Turing's Titanic machine?Communications of the ACM. 55 (3), 74–83.Google Scholar
Cooper, S.B. and Van Leeuwen, J. (2013). Alan Turing: His Work and Impact, Elsevier.
Durbin, R., Eddy, S., Krogh, A. and Mitchison, G. (1998). Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids.Cambridge University Press.
Efron, B. (2010). Large-Scale Inference Empirical Bayes Methods for Estimation, Testing, and Prediction.Cambridge University Press.
Good, I.J. (1950). Probability and the Weighing of Evidence.Griffin.
Good, I.J. (1953). The population frequencies of species and the estimation of population parameters.Biometrika, 40, 237–264.Google Scholar
Good, I.J. (1979). Turing's statistical work in World War II, Studies in the history of probability and statistics. XXXVII.Biometrika, 66, 393–396.Google Scholar
Good, I.J. (1988). The interface between statistics and philosophy of science.Statistical Science, 3, 386–412.Google Scholar
Good, I.J. (1992). Introductory remarks for the article in Biometrika 66, (1979), “A.M. Turing's Statistical Work in World War II”. In: Collected Works of A.M. Turing: Pure Mathematics, J.L., Britton (ed.). North-Holland.
Good, I.J. (2000). Turing's anticipation of empirical Bayes in connection with the cryptanalysis of the naval Enigma.J. Statist. Comput. Simul., 66, 101–111Google Scholar
Good, I.J. and Toulmin, G. H. (1956). The number of new species, and the increase in population coverage, when a sample is increased.Biometrika, 43, 45–63.Google Scholar
Hodges, A. (1983), Alan Turing: The Enigma.Simon & Schuster.
Leavitt, D. (2006). The Man Who Knew Too Much: Alan Turing and the Invention of the Computer.W.W. Norton.
Mardia, K.V. and Gilks, W.R. (2005). Meeting the statistical needs of 21st-century science.Significance, 2, 162–165.Google Scholar
McGrayne, S.B. (2011). The Theory that Would not Die.Yale University Press.
Newman, M.H.A. (1955). Alan Mathison Turing.In Biographical Memoirs of the Fellows of the Royal Society, 1, 253–263.
Robinson, A. (2011). Known unknowns.Nature, 475, 450–451.Google Scholar
Simpson, E. (2010). Bayes at Bletchley Park.Significance, 7, 76–80.Google Scholar
Turing, A.M. (1936). On computable numbers, with an application to the Entscheidungsproblem, Proc. London Mathematical Society ser. 2, 42, 230–265; Reprinted in A.M. Turing, Collected Works: Mathematical Logic, R.O., Gandy, C.E.M., Yates (eds), North-Holland; and in Cooper and van Leeuwen (2013).
Turing, A.M. (1939). Systems of logic based on ordinals, Proc. London Math. Soc. ser. 2, 45, 161–228. Reprinted in A.M. Turing, Collected Works: Mathematical Logic, R.O., Gandy and C.E.M., Yates (eds.), North-Holland; and in Cooper and van Leeuwen (2013).
Turing, A.M. (1941/1942a). The applications of probabilities to cryptography. The National Archives http://discovery.nationalarchives.gov.uk/details/r/ C11510466 H.W. 25/37; 43 pages.
Turing, A.M. (1941/1942b). Paper on statistics of repetitions. The National Archives http://discovery.nationalarchives.gov.uk/details/r/C11510466 H.W. 25/38; 9 pages.
Turing, A.M. (1950). Computing machinery and intelligence.Mind, 49, 433–460.Google Scholar
Turing, A.M. (2001). Collected Works of A. M. Turing: Mathematical Logic, R.O., Gandy and C.E.M., Yates (eds.). North-Holland.

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