Abstract
The editors have not done the obvious in selecting this paper. Evidently, they were not put off by its opening words: “Several statistical techniques are proposed for economically analyzing large masses of data by means of punched-card equipment.” Moreover, very little of the paper survives unimproved in current statistical practice. Nevertheless, the author made a number of significant advances, pointed the way to many more, and showed great prescience. The paper, as a result, has been extremely influential and has stimulated much research on order statistics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bahadur, R.R. (1966). A note on quantiles in large samples, Ann. Math. Statist., 37, 577–580.
Cadwell, J.H. (1953). The distribution of quasi-ranges in samples from a normal population. Ann. Math. Statist., 24, 603–613.
David. H.A. (1981). Order Statistics, 2nd ed. Wiley. New York.
Eisenberger. I., and Posner, E.C. (1965). Systematic statistics used for data compression in space telemetry. J. Amer. Statist. Assoc., 60, 97–133.
Fienberg, S.F.., Hoaglin. D.C., Kruskal, W.H.. and Tanur, J.M (eds.) (1990). A Statistical Model: Frederick Mosteller’s Contributions to Statistics. Science, and Public Policy. Springer-Verlag. New York.
Ghosh, J.K. (1971). A new proof of the Bahadur representation of quantilcs and an application. Ann. Math. Statist., 42. 1957–1961.
Gnedenko, B. (1943). Sur la distribution limite du terme maximum d’une série aléatoire. Ann. Math., 44. 423–453.
Godwin. H.J. (1949). On the estimation of dispersion by linear systematic statistics. Biometrika, 36. 92–100.
Harter. H.L. (1959). The use of sample quasi-ranges in estimating population standard deviation, Ann. Math. Statist., 30$1980–999. (correction, 31. 228 ).
Harter. H.L. (1978). A Chronological Annotated Bibliography on Order Statistics. Vol. I: Pre-1950. U.S. Government Printing Office. Washington. D.C.
Hartley. H.O., and Pfaffenberger, R.C. (1972). Quadratic forms in order statistics used as goodness-of-fit criteria. Biometrika. 59. 605–612.
Hastings, C.. Jr.. Mosteller, F., Tukey, J.W., and Winsor. C.P. (1947). Low moments for small samples: A comparative study of order statistics, Ann. Math. Statist., 18. 413–426.
Kendall. M.G. (1943). The Advanced Theory of Statistics. Vol. 1. Griffin, London.
Lloyd, E.H. (1952). Least-squares estimation of location and scale parameters using order statistics, Biometrika, 39, 88–95.
O’Connell, M.J., and David. H.A. (1976). Order statistics and their concomitants in some double sampling situations, in Essay in Probability and Statistics, ( S. Ikedo, et al., eds). pp. 451–466. Shinko Tsusho. Tokyo.
Ogawa, J. (1951). Contributions to the theory of systematic statistics, I, Osaka Math. J.. 3. 175–213.
Pearson, K. (1920). On the probable errors of frequency constants. Part 111, Biometrika. 13. 113–131
Reiss, R.-D. (1980). Estimation of quantiles in certain nonparametric models., Ann. Statists 8. 87–105.
Sarhan. A.E.. and Greenberg, B.G. (eds.) (1962). Contributions to Order Statistics. Wiley, New York.
Smirnoff., N. (1937). Sur la dépendance des membres d’une série de variations, Bull. Univ. État Moscou, Série Int., Sec. A, Vol. 1, Fasc. 4. 1–12.
Smirnov. N.V. (1944). Approximation of distribution laws of random variables by empirical data, Uspekhi Mat. Nauk. 10, 179–206. (in Russian).
Statistical Science (1988). Frederick Mosteller and John Tukey: A Conversation. 3(1), 136–144.
Tietjen, G.L. Kahaner. D.K., and Beckman, R.J. (1977). Variances and covariances of the normal order statistics for sample sizes 2 to 50. Selected Tables in Math. Statist., 5. 1–73.
Walker, A.M. (1968). A note on the asymptotic distribution of sample quantiles. J. Rov. Statist. Soc., 30, 570–575.
Wilks, S.S. (1943). Mathematical Statistics. Princeton Univ. Press, Princeton, N.J.
Wilks. S.S. (1948). Order statistics. Bull. Amer. Math. Soc.. 5. 6–50.
Yule, G.U. (1911). An Introduction to the Theory of Statistics. Griffin. London.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
David, H.A. (1992). Introduction to Mosteller (1946) On Some Useful “Inefficient” Statistics. In: Kotz, S., Johnson, N.L. (eds) Breakthroughs in Statistics. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4380-9_17
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4380-9_17
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94039-7
Online ISBN: 978-1-4612-4380-9
eBook Packages: Springer Book Archive