A Pareto scale-inflated outlier model and its Bayesian analysis
Scollnik, David P. M.;
Subject: Statistics - Methodology | 62F15
This paper develops a Pareto scale-inflated outlier model. This model is intended for use when data from some standard Pareto distribution of interest is suspected to have been contaminated with a relatively small number of outliers from a Pareto distribution with the s... View more
de Alba, E., \Claims Reserving When There Are Negative Values in the Runo Triangle: Bayesian Analysis Using the Three-Parameter Log-Normal Distribution," North American Actuarial Journal 10(3), 2006, 45-59.
Dixit, U.J., Jabbari Nooghabi, M., \E cient estimation in the Pareto distribution with the presence of outliers," Statistical Methodology 8, 2011a, 340-355.
Dixit, U.J, Jabbari Nooghabi, M., \E cient Estimation of the Parameters of the Pareto Distribution in the Presence of Outliers," Communications of the Korean Statistical Society 18, 2011b, 817-835.
Gelman, A., Carlin, J.B., Stern, H.S., and Rubin, D.B., Bayesian Data Analysis, 2nd ed., New York: Chapman & Hall/CRC, 2004.
Grubbs, F.E., \Procedures for detecting outlying observations in samples," Technometrics 11, 1969, 1-21.
Guttman, I., Dutter, R. and Freeman, P., \Care and handling of univariate outliers in the general linear model to detect spuriosity - a Bayesian approach," Technometrics 20, 1978, 187-194.
Guttman, I., \Care and handling of univariate or multivariate outliers in detecting spuriosity - a Bayesian approach," Technometrics 5, 1973, 723-738.
Johnson, N.L., Kotz, S., and Balakrishnan, N., Continuous univariate distributions, Vol. 1, 2nd ed., New York: John Wiley, 1994.
McNeil, A.J., \Estimating the tails of loss severity distributions using extreme value theory," ASTIN Bulletin 27, 1997, 117-137.