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http://dx.doi.org/10.5351/CKSS.2011.18.6.817

Efficient Estimation of the Parameters of the Pareto Distribution in the Presence of Outliers  

Dixit, U.J. (Department of Statistics, University of Mumbai)
Jabbari Nooghabi, M. (Department of Statistics, University of Mumbai)
Publication Information
Communications for Statistical Applications and Methods / v.18, no.6, 2011 , pp. 817-835 More about this Journal
Abstract
The moment(MM) and least squares(LS) estimations of the parameters are derived for the Pareto distribution in the presence of outliers. Further, we have derived a mixture method(MIX) of estimations with MM and LS that shows that the MIX is more efficient. In the final section we have given an example of actual data from a medical insurance company.
Keywords
Pareto distribution; maximum likelihood estimator; moment estimator; least squares estimation; mixture method; outliers; insurance;
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1 Dixit, U. J. (1989). Estimation of parameters of the Gamma Distribution in the presence of Outliers, Communications in Statistics - Theory and Methods, 18, 3071-3085.   DOI
2 Dixit, U. J. and Jabbari Nooghabi, M. (2011). Efficient estimation in the Pareto distribution with the presence of outliers, Statistical Methodology, 8, 340-355.   DOI   ScienceOn
3 Dixit, U. J. and Nasiri, F. P. (2001). Estimation of parameters of the exponential distribution in the presence of outliers generated from uniform distribution, Metron LIX(3-4), 187-198.
4 Hossain, A. M. and Zimmer, W. J. (2000). Comparisons of methods of estimation for a Pareto distri- bution of the first kind, Communications in Statistics - Theory and Methods, 29, 859-878.   DOI   ScienceOn
5 Lehmann, E. L. and Casella, G. (1998). Theory of Point Estimation, John Wiley & Sons, Second edition, New York.
6 Malik, H. J. (1970). Estimation of the parameter of the Pareto distribution, Metrika, 15, 126-132.   DOI
7 Nadeau, T. P. and Teorey, T. J. (2003). A Pareto model for OLAP view size estimation, Information Systems Frontiers, 5, 137-147.   DOI   ScienceOn
8 Pachner, J. (1984). Handbook of Numerical Analysis Applications with Programs for Engineers and Scientists, McGraw-Hill Inc., New York.
9 Quandt, R. E. (1996). Old and new methods of estimation and the Pareto distribution, Metrika, 10, 55-82.
10 Read, R. R. (1981). Representation of certain covariance matrices with application to asymptotic efficiency, Journal of the American Statistical Association, 76, 148-154.   DOI
11 Dixit, U. J. (1987). Characterization of the gamma distribution in the presence of k outliers, Bulletin Bombay Mathematical Colloquium, 4, 54-59.
12 Abramowitz, M. and Stegun, A. I. (1970). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York.
13 Asrabadi, B. R. (1990). Estimation in the Pareto distribution, Metrika, 37, 199-205.   DOI