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Trimming and winsorization: A review. (English) Zbl 0284.62023

MSC:
62G35 Nonparametric robustness
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[1] Andrews, D.F., P.J. Bickel, F.R. Hample, P.J. Huber, W.H. Rogers, and J.W. Tukey (1972).Robust estimates of location: Survey and Advances. Princeton Univ. Press. · Zbl 0254.62001
[2] Bickel, P.J. (1965). On some robust estimate of location.Ann. Math. Statist., 36, 847–858. · Zbl 0192.25802 · doi:10.1214/aoms/1177700058
[3] Chen, E.H. (1969). Winsorization and trimming techniques applied to linear regression analysis. Ph.D. dissertation, Univ. of Calif., Los Angeles.
[4] Chen, E.H. and W.J. Dixon (1972). Mean and MSE for the Winsorized mean corresponding to the shortest 95 % confidence interval. Unpublished manuscript.
[5] Chen, E.H. and W.J. Dixon (1972). Estimates of parameters of a censored regression sample.J. Amer. Statist. Assoc., 67, 664–671. · Zbl 0256.62061 · doi:10.2307/2284463
[6] Dixon, W.J. (1957). Estimates of the mean and standard deviation of a normal population.Ann. Math. Statist., 28, 806–809. · Zbl 0082.13605 · doi:10.1214/aoms/1177706898
[7] Dixon, W.J. (1960). Simplified estimation from censored normal samples.Ann. Math. Statist., 31, 385–391. · Zbl 0093.15802 · doi:10.1214/aoms/1177705900
[8] Dixon, W.J. and J.W. Tukey (1969). Approximate behavior of the distribution of Winsorized t. (Trimming/Winsorization 2)Technometrics, 10, 83–98. · doi:10.2307/1266226
[9] Dixon, W.J. and F.J. Massey, Jr. (1969).Introduction to statistical analysis, 3rd ed., New York: McGraw-Hill.
[10] Fridshal, D. and H.O. Posten (1966). Bibliography on statistical robustness and related topics. Research report No. 16, Dept. of Statistics, Univ. of Connecticut, Storrs, Conn.
[11] Grovindarajulu, J. and R.T. Leslie (1972). Annotated bibliography on robustness studies. Vital and health statistics, data evaluation and method research, series 2, No. 51.
[12] Harris, T.E. and J.W. Tukey (1949). Development of large sample measures of location and scale which are relatively insensitive to contamination. Memorandum Report 31, Statistical research group, Princeton Univ.
[13] Hatch, L.O. and H.O. Posten (1966). Robustness of Student-procedure: A survey. Research report No. 24, Dept. of Statistics, Univ. of Connecticut.
[14] Huber, P.J. (1972). Robust statistics: A review.Ann. Math. Statist., 43, 1041–1067. · Zbl 0254.62023 · doi:10.1214/aoms/1177692459
[15] Hyrenius, H. and I. Adolfson, et al. (1964). Selected bibliography on nonnormality. Publication No. 12, Dept. of Statistics, Univ. of Gothenburg, Sweden.
[16] Jaeckel, L.A. (1971). Some flexible estimates of location.Ann. Math. Statist., 42, 1540–1552. · Zbl 0232.62008 · doi:10.1214/aoms/1177693152
[17] Johnson, N.L. (1949). Systems of frequency curves generated by methods of translation.Biometrika, 36, 149–176. · Zbl 0033.07204
[18] McLaughlin, D.H. and J.W. Tukey (1961). The variance of symmetrically trimmed samples from normal populations, and its estimation from such trimmed samples. (Trimming/Winsorization I), Princeton Univ. Technical Report No. 42.
[19] Stigler, S.M. (1972). The asymptotic distribution of the trimmed mean. Technical report No. 294, Dept. of Statistics, The Univ. of Wisconsin, Madison, Wisconsin. · Zbl 0261.62016
[20] Tukey, J.W. (1962). The future of data analysis.Ann. Math. Statist., 33, 1–67. · Zbl 0107.36401 · doi:10.1214/aoms/1177704711
[21] Tukey, J.W. and D.H. McLaughlin (1963). Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization I.Sankhyā, A, 25, 331–352. · Zbl 0116.10904
[22] Walsh, J.E. (1949). Some significance tests for the median which are valid under very general conditions.Ann. Math. Statist., 20, 64–81. · Zbl 0033.07602 · doi:10.1214/aoms/1177730091
[23] Wang, Y.Y. (1971). Probabilities of type I errors of the Welch tests for the Behrens-Fisher problem.J. Amer. Statist. Assoc., 66, 605–608. · doi:10.2307/2283538
[24] Welch, B.L. (1936). Specification of rules for rejecting two variable a product, with particular reference to an electric lamp problem.J. Roy. Statist. Soc., Supp. 3, 29–48. · JFM 63.1099.03
[25] Welch, B.L. (1938). The significance of the difference between two means when the population variances are unequal.Biometrika, 29, 350–62. · Zbl 0018.22602
[26] Welch, B.L. (1949). In Appendix of Tables for use in comparisons whose accuracy involves two variances separately estimated by A.A. Aspin.Biometrika, 36, 290–96.
[27] Wonnacott, T.H. (1963). A Monte-Carlo method of obtaining the power of certain tests of location. Ph.D.dissertation, Princeton Univ.
[28] Yale, Coralee (1970). An application of Winsorization to linear regression analysis. Masters thesis, Univ. of. Calif., Los Angeles.
[29] Yuen, K.K. (1971). A note on Winsorized t.J. Roy. Statist. Soc., C. 20, 297–304.
[30] Yuen, K.K. (1972). The two-sample trimmed t. Ph.D. dissertation, Univ. of Calif., Los Angeles.
[31] Yuen, K.K. (1972). Power comparisons of single-sample Winsorized, trimmed, and Student’s t. Submitted for publication. · Zbl 0391.62017
[32] Yuen, K.K. and W.J. Dixon (1973). The approximate behavior and performance of the two-sample trimmed t.Biometrika, 60, 2, 369–374. · Zbl 0263.62014
[33] Yuen, K.K. (1974). The two-sample trimmed t for unequal population variances.Biometrika, 61, 165–170. · Zbl 0277.62009
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