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Distribution Analyses

References

Chambers, J.M., Cleveland, W.S., Kleiner, B., and Tukey, P.A. (1983), Graphical Methods for Data Analysis, Belmont, CA: Wadsworth International Group.

Chandra, M., Singpurwalla, N.D., and Stephens, M.A. (1981), "Kolmogorov Statistics for Tests of Fit for the Extreme-Value and Weibull Distributions," Journal of the American Statistical Association, 76, 729 -731.

Conover, W.J. (1980), Practical Nonparametric Statistics, Second Edition, New York: John Wiley & Sons, Inc.

Croux, C. and Rousseeuw, P.J. (1992), "Time-Efficient Algorithms for Two Highly Robust Estimators of Scale," Computational Statistics, Volume 1, 411 -428.

D'Agostino, R.B. and Stephens, M.A., Eds. (1986), Goodness-of-Fit Techniques, New York: Marcel Dekker, Inc.

Dixon, W.J. and Tukey, J.W. (1968), "Approximate Behavior of the Distribution of Winsorized t (Trimming/Winsorization 2)," Technometrics, 10, 83 -98.

Epanechnikov, V.A. (1969), "Nonparametric Estimation of a Multivariate Probability Density," Theory of Probability and Its Applications, 14, 153 -158.

Feller, W. (1948), "On the Kolomogorov-Smirnov Limit Theorems for Empirical Distributions," Annals of Math. Stat., 19, 177 -189.

Fisher, R.A. (1936), "The Use of Multiple Measurements in Taxonomic Problems," Annals of Eugenics, 7, 179 -188.

Hahn, G.J. and Meeker, W.Q. (1991), Statistical Intervals: A Guide for Practitioners, New York: John Wiley & Sons, Inc.

Hampel, F.R. (1974), "The Influence Curve and its Role in Robust Estimation," Journal of the American Statistical Association, 69, 383 -393.

Iman, R.L. (1974), "Use of a t-statistic as an Approximation to the Exact Distribution of the Wilcoxon Signed Ranks Test Statistic," Communications in Statistics, 3, 795 -806.

Johnson, N.L. and Kotz, S. (1970), Continuous Univariate Distributions -I, New York: John Wiley & Sons, Inc.

Lehmann, E.L. (1975), Nonparametric: Statistical Methods Based on Ranks, San Francisco: Holden-Day, Inc.

Rosenberger, J.L. and Gasko, M. (1983), "Comparing Location Estimators: Trimmed Means, Medians, and Trimean," in Understanding Robust and Exploratory Data Analysis, eds. D.C. Hoaglin, F. Mosteller, and J.W. Tukey, New York: John Wiley & Sons, Inc., 297 -338.

Rousseeuw, P.J. and Croux, C. (1993), "Alternatives to the Median Absolute Deviation," Journal of the American Statistical Association, 88, 1273 -1283.

Royston, P. (1992), "Approximating the Shapiro-Wilk W-Test for non-normality," Statistics and Computing, 2, 117 -119.

Silverman, B.W. (1982), "Kernel Density Estimation using the Fast Fourier Transform," Applied Statistics, 31, 93 -99.

Silverman, B.W. (1986), Density Estimation for Statistics and Data Analysis, New York: Chapman and Hall.

Smirnov, N. (1948) "Table for Estimating the Goodness of Fit of Empirical Distributions," Annals of Math. Stat., 19, 279.

Stephens, M.A. (1974), "EDF Statistics for Goodness of Fit and Some Comparisons," Journal of the American Statistical Association, 69, 730 -737.

Tukey, J.W. (1977), Exploratory Data Analysis, Reading, MA: Addison-Wesley.

Tukey, J.W. and McLaughlin, D.H. (1963), "Less Vulnerable Confidence and Significance Procedures for Location Based on a Single Sample: Trimming/Winsorization 1," Sankhya A, 25, 331 -352.

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