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Statistical Theory and Applications pp 313–326Cite as

Herbert Aron David

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Here we attempt an overview of H. A. David’s impact on statistics and society.

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Publications

  1. H.T. David “Further Applications of Range to the Analysis of Variance,” Biometrika 38, 1951, pp. 393–409.

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  2. H.T. David “An Operational Method for the Derivation of Relations Between Moments and Cumulants,” Metron 16, 1952, pp. 3–9.

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  3. H.T. David “Upper 5 and 1% points of the Maximum F-Ratio,” Biometrika 39, 1952, pp. 422–424.

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  4. H.T. David “The Power Function of Some Tests Based on Range,” Biometrika 40, 1953, pp. 347–353.

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  5. H.T. David (with H. O. Hartley) “Universal Bounds for Mean Range and Extreme Observation,” Annals of Mathematical Statistics 25, 1954, pp. 85–99.

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  6. H.T. David “The Distribution of Range in Certain Non-Normal Populations,” Biometrika 41, 1954, pp. 463–468.

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  7. H.T. David (with H. O. Hartley and E. S. Pearson) “The Distribution of the Ratio, in a Single Normal Sample, of Range to Standard Deviation,” Biometrika 41, 1954, pp. 482–493.

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  8. H.T. David (with A. W. H. Braden and C. R. Austin) “The Reaction of the Zona Pellucida to Sperm Penetration,” Australian Journal of Biological Sciences 7, 1954, pp. 391–409.

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  9. H.T. David “Moments of Negative Order and Ratio-Statistics,” Journal of the Royal Statistical Society, Series B 17, 1955, pp. 121–122.

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  10. H.T. David “A Note on Moving Ranges,” Biometrika 42, 1955, pp. 512–515.

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  11. H.T. David “On the Application to Statistics of an Elementary Theorem in Probability,” Biometrika 43, 1956, pp. 85–91.

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  12. H.T. David “The Ranking of Variances in Normal Populations,” Journal of the American Statistical Association 51, 1956, pp. 621–626.

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  13. H.T. David “Revised Upper Percentage Points of the Extreme Studentized Deviate from the Sample Mean,” Biometrika 43, 1956, pp. 449–452.

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  14. H.T. David (with D. L. Baulch and J. F. Duncan) “The Half-Life of Thorium C”,Australian Journal of Chemistry 10, 1957, pp. 85–87.

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  15. H.T. David “Estimation of Means of Normal Populations from Observed Minima,” Biometrika 44, 1957, pp. 282–286.

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  16. H.T. David “Tournaments and Paired Comparisons,” Biometrika 46, 1959, pp. 139–149.

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  17. H.T. David (with Beverly E. Arens) “Optimal Spacing in Regression Analysis,” Annals of Mathematical Statistics 30, 1959, pp. 1072–1081.

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  18. H.T. David (with W. A. Glenn) “Ties in Paired-Comparison Experiments Using a Modified Thurstone-Mosteller Model,” Biometrics 16, 1960, pp. 86–109.

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  19. H.T. David (with Carmen A. Perez) “On Comparing Different Tests of the Same Hypothesis,” Biometrika 47, 1960, pp. 297–306.

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  20. H.T. David (with D. F. Morrison) “The Life Distribution and Reliability of a System with Spare Components,” Annals of Mathematical Statistics 31, 1960, pp. 1084–1094.

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  21. H.T. David (with T. H. Starks) “Significance Tests for Paired-Comparison Experiments,” Biometrika 48, 1961, pp. 95–108.

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  22. H.T. David (with C. P. Quesenberry) “Some Tests for Outliers,” Biometrika 48, 1961, pp. 379–390.

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  23. H.T. David (with R. J. Taylor) “A Multi-Stage Procedure for the Selection of the Best of Several Populations,” Journal of the American Statistical Association 57, 1962, pp. 785–796.

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  24. H.T. David Participant in Contributions to Order Statistics, edited by A. E. Sarhan and B. G. Greenberg, 1962, Wiley.

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  25. H.T. David (with B.J. Trawinski) “Selection of the Best Treatment in a Paired-Comparison Experiment,” Annals of Mathematical Statistics, 34, 1963, pp. 75–91.

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  26. H.T. David “The Structure of Cyclic Paired-Comparison Designs,” Journal of the Australian Mathematical Society 3, 1963, pp. 117–127.

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  27. H.T. David The Method of Paired Comparisons, 1963, Griffin and Hafner. 124 pp.

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  28. H.T. David “Enumeration of Cyclic Paired-Comparison Designs,” American Mathematical Monthly 72, 1965, pp. 241–248.

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  29. H.T. David (with J. E. Norman, Jr.) “Exact Distribution of the Sum of Independent Identically Distributed Discrete Random Variables,” Journal of the American Statistical Association 60, 1965, pp. 837–842.

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  30. H.T. David (with D. J. Newell) “The Identification of Annual Peak Periods for a Disease,” Biometrics 21, 1965, pp. 645–650.

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  31. H.T. David (with F. W. Wolock) “Cyclic Designs,” Annals of Mathematical Statistics 36, 1965, pp. 1526–1534.

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  32. H.T. David (with A. S. Paulson) “The Performance of Several Tests for Outliers,” Biometrika 52, 1965, pp. 429–436.

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  33. H.T. David “A Note on ‘A k-Sample Model in Order Statistics’ by W. J. Conover,” Annals of Mathematical Statistics 37, 1966, pp. 287–288.

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  34. H.T. David (with C. P. Quesenberry) Tables 26a and 26b in Biometrika Tables for Statisticians, Vol. I, 3rd Edition, edited by E. S. Pearson and H. O. Hartley, 1966, Cambridge University Press.

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  35. H.T. David “Resolvable Cyclic Designs,” Sankhyā, Series A 29, Part 2, 1967, pp. 191–198.

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  36. H.T. David (with W. C. Nelson) “The Logarithmic Distribution: A Review,” Virginia Journal of Science 18, No. 3, 1967, pp. 95–102.

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  37. H.T. David (with P. K. Sen) “Paired Comparisons for Paired Characteristics,” Annals of Mathematical Statistics 39, 1968, pp. 200–208.

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  38. H.T. David (with P. C. Joshi) “Recurrence Relations Between Moments of Order Statistics for Exchangeable Variâtes,” Annals of Mathematical Statistics 39, 1968, pp. 272–274.

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  39. H.T. David Article on “Nonparametric Statistics: Ranking Methods” in International Encyclopedia of the Social Sciences, 1968, The MacMillan Company and The Free Press.

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  40. H.T. David “Gini’s Mean Difference Rediscovered,” Biometrika 55, 1968, pp. 573–575.

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  41. H.T. David (with R. S. Mishriky) “Order Statistics for Discrete Populations and for Grouped Samples,” Journal of the American Statistical Association 63, 1968, pp. 1390–1398.

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  42. H.T. David (with J. E. Norman, Jr.) “Restricted Ranking,” Psychometrika 34, 1969, pp. 85–110.

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  43. H.T. David “On Chiang’s Proportionality Assumption in the Theory of Competing Risks,” Biometrics 26, 1970, pp. 336–338.

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  44. H.T. David Order Statistics, 1970, John Wiley & Sons, Inc. xi + 272 pp.

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  45. H.T. David (with R. G. MacMillan) “Tests for One or Two Outliers in Normal Samples with Known Variance,” Technometrics 13, 1971, pp. 75–85.

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  46. H.T. David (with F. B. Six) “Sign Distribution of Standard Multinormal Variables with Equal Positive Correlation,” Review of the International Statistical Institute 39, 1971, pp. 1–3.

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  47. H.T. David “Ranking the Players in a Round Robin Tournament,” Review of the International Statistical Institute 39, 1971, pp. 137–147.

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  48. H.T. David (with M. L. Moeschberger) “Life Tests under Competing Causes of Failure and the Theory of Competing Risks,” Biometrics 27, 1971, pp. 909–933.

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  49. H.T. David (with P. A. Lachenbruch and H. Brandis, III) “The Power Function of Range and Studentized Range Tests in Normal Samples,” Biometrika 59, 1972, pp. 161–168.

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  50. H.T. David (with J. A. John and F. W. Wolock) Cyclic Designs, National Bureau of Standards Applied Mathematics Series No. 62, 1972. vi + 76 pp.

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  51. H.T. David (with D. N. Levine) “Ranked Set Sampling in the Presence of Judgement Error,” Biometrics 28, 1972, pp. 553–555.

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  52. H.T. David “Enumeration of Cyclic Graphs and Cyclic Designs,” Journal of Combinatorial Theory B 13, 1972, pp. 303–308.

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  53. H.T. David “Waiting Time Paradoxes and Order Statistics,” Journal of the American Statistical Association 68, 1973, pp. 743–745.

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  54. H.T. David “Parametric Approaches to the Theory of Competing Risks,” in F. Proschan and R. J. Serfling (editors), Reliability and Biometry, Society for Industrial and Applied Mathematics, 1974, pp. 275–290.

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  55. H.T. David (with J. Galambos) “The Asymptotic Theory of Concomitants of Order Statistics,” Journal of Applied Probability 11, 1974, pp. 762–770.

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  56. H.T. David (with M. J. O’Connell) “Order Statistics and Their Concomitants in Some Double Sampling Situations,” Essays in Probability and Statistics in Honor of J. Ogawa, 1976, pp. 451–466.

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  57. H.T. David “The Theory of Competing Risks” (with discussion), Australian Journal of Statistics 18, 1976, pp. 101–114.

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  58. H.T. David (with M. J. O’Connell and S. S. Yang) “Distribution and Expected Value of the Rank of a Concomitant of an Order Statistic,” Annals of Statistics 5, 1977, pp. 216–223.

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  59. H.T. David (with W. J. Kennedy and R. D. Knight) “Means, Variances, and Covariances of Normal Order Statistics in the Presence of an Outlier,” Selected Tables in Mathematical Statistics, sponsored by the Institute of Mathematical Statistics, Vol. 5, 1977, pp. 75–204.

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  60. H.T. David (with M. L. Moeschberger) The Theory of Competing Risks, 1978, Griffin, London; MacMillan, New York. 103 pp.

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  61. H.T. David Contributions to Survey Sampling and Applied Statistics - Papers in Honor of H. O. Hartley, 1978, Academic Press, New York, xxvii + 318 pp. Editor.

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  62. H.T. David (with V. S. Shu) “Robustness of Location Estimators in the Presence of an Outlier.” In 61, pp. 235–250.

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  63. H.T. David Metod Parnych Sravnyenii, 1978, Statistics Publishing House, Moscow. 144 pp. (Russian translation, with additions, of 27.)

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  64. H.T. David “Robust Estimation in the Presence of Outliers.” In R. L. Launer and G. N. Wilkinson (editors), Robustness in Statistics, 1979, Academic Press, pp. 61–74.

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  65. H.T. David “Does Stronger Opposition Make it Harder to Win?” Journal of Statistical Computation and Simulation 9, 1979, pp. 71–72.

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  66. H.T. David “E. S. Pearson” in Biographical Supplement, International Encyclopedia of the Social Sciences, 1980, The MacMillan Company and The Free Press, pp. 630–632.

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  67. H.T. David Order Statistics, 2nd Edition, 1981, John Wiley & Sons, Inc. 360 pp.

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  68. H.T. David Order Statistics, Russian translation of 44 with additions, 1979, Nauka, Moscow. 336 pp.

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  69. H.T. David “Concomitants of Order Statistics: Theory and Applications.” In Some Recent Advances in Statistics, J. Tiago de Oliveira and B. Epstein (editors), 1982, Academic Press, Inc. (London), pp. 89–100.

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  70. H.T. David (with R. A. Groeneveld) “Measures of Local Variation in a Distribution: Expected Length of Spacings and Variances of Order Statistics,” Biometrika 69, 1982, pp. 227–232.

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  71. H.T. David “Cyclic Designs,” Encyclopedia of Statistical Sciences, Vol. 2, 1982, pp. 256–260.

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  72. H.T. David “H. O. Hartley, 1912–80,” International Statistical Review 50, 1982, pp. 327–330.

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  73. H.T. David (with M. P. Rogers) “Order Statistics in Overlapping Samples, Moving Order Statistics and U Statistics,” Biometrika 70, 1983, pp. 245–249.

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  74. H.T. David “Gini’s Mean Difference,” Encyclopedia of Statistical Sciences, Vol. 3, 1983, pp. 436–437.

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  75. H.T. David (with L. C. Kinyon) “The Probability That Out of n Events at Least r(≥ n-2) Occur Within Time Span t.” In Contributions to Statistics, P. K. Sen (editor), 1983, North-Holland, pp. 107–113.

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  76. H.T. David (with W. B. Yeo) “Selection Through an Associated Characteristic, with Applications to the Random Effects Model,” Journal of the American Statistical Association 79, 1984, pp. 399–405.

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  77. H.T. David (with H.T. David) Statistics: An Appraisal. Proceedings of the 50th Anniversary Conference, Iowa State Statistical Laboratory, 1984, Iowa State University Press, Ames. Editor.

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  78. H.T. David “The Iowa State Statistical Laboratory: Antecedents and Early Years, 1914–47.” In 77, pp. 3–18.

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  79. H.T. David “Order Statistics under Non-Standard Conditions.” In Biostatistics: Statistics in Biomedical, Public Health and Environmental Sciences, P. K. Sen (editor), 1985, North-Holland, pp. 305–313.

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  80. H.T. David (with J. K. Ghosh) “The Effect of an Outlier on L-Estimators of Location in Symmetric Distributions,” Biometrika 72, 1985, pp. 216–218.

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  81. H.T. David “Order Statistics,” Encyclopedia of Statistical Sciences, Vol. 6, 1985, pp. 504–510.

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  82. H.T. David (with I. H. Ha) “Replacement of Parents by Meritorious Offspring in Within-Family Selection,” Biometrics 41, 1985, pp. 1045–1048.

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  83. H.T. David “Inequalities for Ordered Sums,” Annals of Institute of Statistical Mathematics, Tokyo 38, 1986, pp. 551–555.

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  84. H.T. David (with D. M. Andrews) “Closed Adaptive Sequential Paired-Comparison Selection Procedures,” Journal of Statistical Computation and Simulation 27, 1987, pp. 127–141.

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  85. H.T. David “Ranking from Unbalanced Paired-Comparison Data,” Biometrika 74, 1987, pp. 432–436.

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  86. H.T. David “Studentized Range,” Encylopedia of Statistical Sciences, Vol. 9, 1988, pp. 39–43.

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  87. H.T. David The Method of Paired Comparisons, 2nd Edition, revised and expanded, 1988, Griffin, London; Oxford U. Press, New York, viii + 188 pp.

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  88. H.T. David “General Bounds and Inequalities in Order Statistics.” Special Issue on Order Statistics, Communications in Statistics — Theory and Methods 17, 1988, pp. 2119–2134.

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  89. H.T. David “Note on ‘An Extreme Null Distribution Approach to the Problem of Paired Comparisons’ by Patricia S. Costello and Douglas A. Wolfe,” Communications in Statistics - Theory and Methods 17, 1988, pp. 4005–4009.

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  90. H.T. David (with J. Liu) “Quantiles of Sums and Expected Values of Ordered Sums,” Australian Journal of Statistics 31, 1989, pp. 469–474.

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  91. H.T. David (with S. H. Kim) “On the Dependence Structure of Order Statistics and Concomitants of Order Statistics,” Journal of Statistical Planning and Inference 24, 1990, pp. 363–368.

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  92. H.T. David (with D. M. Andrews) “Nonparametric Analysis of Unbalanced Paired-Comparison or Ranked Data,” Journal of the American Statistical Association 85, 1990, pp. 1140–1146.

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  93. H.T. David “Some Properties of Order Statistics Filters,” Special Issue, Circuits, Systems, and Signal Processing 11, 1992, pp. 109–114.

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  94. H.T. David “Introduction to Frederick Mosteller (1946) On Some Useful ‘Inefficient’ Statistics,” Annals of Mathematical Statistics 17, 377–408. In S. Kotz and N. L. Johnson (editors), Breakthroughs in Statistics, Vol. 2, 1992, Springer, pp. 203–208.

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  95. H.T. David “Ranking and Selection from Paired-Comparison Data.” Proceedings and Discussions of the Second International Conference on Inference Procedures Associated with Statistical Ranking and Selection, Amer. Sciences Press 28, 1992, pp. 3–24.

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  96. H.T. David “Concomitants of Order Statistics: Review and Recent Developments.” In F. M. Hoppe (editor), Multiple Comparisons, Selection, and Applications in Biometry, 1993, Marcel Dekker, pp. 507–518.

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  97. H.T. David (with D. M. Andrews) “Nonparametric Methods of Ranking from Paired Comparisons.” In M. A. Fligner and J. S. Verducci (editors), Probability Models and Statistical Analyses for Ranking Data, 1993, Lecture Notes in Statistics 80, Springer, pp. 20–36.

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  98. H.T. David (with J. Liu) “Further Aspects of the Comparison of Ranked Objects by Matching Pairs.” In M. Shaked and Y. L. Tong (editors), Stochastic Inequalities, 1993, IMS Lecture Notes 22, pp. 38–49.

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  99. H.T. David (with J. Liu) “Comparing Two Groups of Ranked Objects by Pairwise Matching,” Journal of Statistical Planning and Inference 35, 1993, pp. 157–169.

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  100. H.T. David “A Note on Order Statistics for Dependent Variâtes,” The American Statistician 47, 1993, pp. 198–199.

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  101. H.T. David (with H. N. Nagaraja) “Distribution of the Maximum of Concomitants of Selected Order Statistics,” Annals of Statistics 22, 1994, pp. 478–494.

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  102. H.T. David “Concomitants of Extreme Order Statistics.” In J. Galambos, J. Lechner and E. Simiu (editors), Extreme Value Theory and Applications, 1994, Kluwer, pp. 211–224.

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  103. H.T. David “First (?) Occurrence of Common Terms in Mathematical Statistics,” The American Statistician 49, 1995 (in press).

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  104. H.T. David “On Recurrence Relations for Order Statistics,” Statistics and Probability Letters 23, 1995 (in press).

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  105. H.T. David (with J. L. Gunnink) “The Paired t-test Under Artificial Pairing,” 1995 (submitted for publication).

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  106. H.T. David (with H. N. Nagaraja) “Concomitants of Order Statistics.” In C. R. Rao and N. Balakrishnan (editors), Handbook of Statistics, Vol. 16, Order Statistics and Their Applications, Amsterdam: Elsevier (to appear).

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Authors
  1. H. T. David
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Editor information

Editors and Affiliations

  1. Department of Statistics, Ohio State University, 1958 Neil Avenue, 43210-1247, Columbus, OH, USA

    H. N. Nagaraja

  2. Department of Biostatistics and Statistics, University of North Carolina, 27599-7400, Chapel Hill, NC, USA

    Pranab Kumar Sen

  3. Department of Statistics, Wharton School, University of Pennsylvania, 19104-6302, Philadelphia, PA, USA

    Donald F. Morrison

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© 1996 Springer-Verlag New York, Inc.

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David, H.T. (1996). Herbert Aron David. In: Nagaraja, H.N., Sen, P.K., Morrison, D.F. (eds) Statistical Theory and Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3990-1_25

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  • DOI: https://doi.org/10.1007/978-1-4612-3990-1_25

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8462-8

  • Online ISBN: 978-1-4612-3990-1

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