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Theory and Method

Outlier-Prone and Outlier-Resistant Distributions

Pages 502-505 | Received 01 Feb 1975, Published online: 05 Apr 2012

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DonaldW. Zimmerman. (1995) Increasing the Power of the ANOVA F Test for Outlier-Prone Distributions by Modified Ranking Methods. The Journal of General Psychology 122:1, pages 83-94.
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DonaldW. Zimmerman. (1993) Mimicking Properties of Nonparametric Rank Tests Using Scores that are not Ranks. The Journal of General Psychology 120:4, pages 509-516.
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DonaldW. Zimmerman & BrunoD. Zumbo. (1992) Increasing the Power of Tests of Location and Correlation by Transforming Scores to Ranks and Indicators. The Journal of General Psychology 119:4, pages 409-418.
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DonaldW. Zimmerman & BrunoD. Zumbo. (1990) The Relative Power of the Wilcoxon-Mann-Whitney Test and Student t Test Under Simple Bounded Transformations. The Journal of General Psychology 117:4, pages 425-436.
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RichardJ. Meinhold & NozerD. Singpurwalla. (1989) Robustification of Kalman Filter Models. Journal of the American Statistical Association 84:406, pages 479-486.
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Rudolf Mathae. (1985) Outlier-prone and outlier-resistant multidimensional distributions. Statistics 16:3, pages 451-456.
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R.J. Beckman & R.D. Cook. (1983) Outlier … … …. s. Technometrics 25:2, pages 119-149.
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Jerzy Neyman. (1979) Developments in probability and mathematical statistics generated by studies in meteorology and weather modification. Communications in Statistics - Theory and Methods 8:11, pages 1097-1110.
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Magdalena Niewiadomska‐Bugaj & Robert Bartoszynski. 2021. Probability and Statistical Inference, Third Edition. Probability and Statistical Inference, Third Edition 555 558 .
Martin Lindfors & Tianshi Chen. (2020) Regularized LTI system identification in the presence of outliers: A variational EM approach. Automatica 121, pages 109152.
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Christopher Hay-Jahans. 2011. An R Companion to Linear Statistical Models. An R Companion to Linear Statistical Models 353 358 .
Donald W. Zimmerman. (2011) Power comparisons of significance tests of location using scores, ranks, and modular ranks. British Journal of Mathematical and Statistical Psychology 64:2, pages 233-243.
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Chin Diew Lai & N. BalakrishnanN. Balakrishna & Chin Diew Lai. 2009. Continuous Bivariate Distributions. Continuous Bivariate Distributions 477 561 .
Richard F. Green. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
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S. Mittnik, S.T. Rachev & G. Samorodnitsky. (2001) The distribution of test statistics for outlier detection in heavy-tailed samples. Mathematical and Computer Modelling 34:9-11, pages 1171-1183.
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Donald W. ZimmermanRichard H. Williams. (2016) Restriction of Range and Correlation in Outlier-Prone Distributions. Applied Psychological Measurement 24:3, pages 267-280.
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Charles M. Goldie & Ross A. Maller. (2016) A point-process approach to almost-sure behaviour of record values and order statistics. Advances in Applied Probability 28:2, pages 426-462.
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Donald W. Zimmerman & Bruno D. Zumbo. (2016) Significance Testing of Correlation Using Scores, Ranks, and Modified Ranks. Educational and Psychological Measurement 53:4, pages 897-904.
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P. Main. (1987) Distribuciones neutras, propensas y resistentes a datos atipicosOutlier-neutral, outlier-prone and outlier-resistant distributions. Trabajos de Estadistica 2:2, pages 91-101.
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Rudolf Mathar. (2016) The limit behaviour of the maximum of random variables with applications to outlier-resistance. Journal of Applied Probability 21:3, pages 646-650.
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Rudolf Mathar. (2016) The limit behaviour of the maximum of random variables with applications to outlier-resistance. Journal of Applied Probability 21:03, pages 646-650.
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Roman Zmyślony. 1980. Mathematical Statistics and Probability Theory. Mathematical Statistics and Probability Theory 365 373 .
A. O'Hagan. (1979) On Outlier Rejection Phenomena in Bayes Inference. Journal of the Royal Statistical Society Series B: Statistical Methodology 41:3, pages 358-367.
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