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Estimation of Pareto Survival Function in the Presence of Outlying Observations

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  • Jeevanand E. S.

    (Department of Mathematics and Statistics, Union Christian College, Aluva 683 102, India)

  • Abdul-Sathar E. I.

    (Department of Statistics, M.E.S College Marampally, Aluva 683 107, India)

Abstract

In the present paper we discuss the problem of estimating the survival function R(x) = P(X > x) of the Pareto distribution, when the sample contains discordant observations. Bayes point estimates and credible intervals are obtained by assuming exchangeable and identifiable models and by discarding the outlying observations under a class of loss functions. We illustrate the estimators with a real data-set and then compare the three estimators using a simulation study.

Suggested Citation

  • Jeevanand E. S. & Abdul-Sathar E. I., 2006. "Estimation of Pareto Survival Function in the Presence of Outlying Observations," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 199-208, January.
    • Handle: RePEc:bpj:ecqcon:v:21:y:2006:i:2:p:199-208:n:3
    DOI: 10.1515/EQC.2006.199
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    References listed on IDEAS

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    1. Arnold, Barry C. & Press, S. James, 1983. "Bayesian inference for pareto populations," Journal of Econometrics, Elsevier, vol. 21(3), pages 287-306, April.
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