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Simplification of joint confidence regions for the parameters of the Pareto distribution

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  • Jin Zhang

Abstract

The Pareto distribution is an important distribution in statistics, which has been widely used in economics to model the distribution of incomes. Separate interval estimations for parameters of the Pareto distribution have been well established in the literature. For a type-II right censored sample, Chen (Metrika 44:191–197, 1996 ) proposed a joint confidence region for the parameters. Wu (Comput Stat Data Anal 52:3779–3788, 2008 ) derived a joint confidence region for any type-II censored sample, but its computation is difficult. Both Wu’s and Chen’s results are simplified in this paper, and some errors are corrected. The methodology used in this article can be applied to other distributions, as long as the underlying distribution can be transformed to the standard exponential distribution in a simple way. Copyright Springer-Verlag 2013

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  • Jin Zhang, 2013. "Simplification of joint confidence regions for the parameters of the Pareto distribution," Computational Statistics, Springer, vol. 28(4), pages 1453-1462, August.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:4:p:1453-1462
    DOI: 10.1007/s00180-012-0354-9
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    References listed on IDEAS

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    1. Wu, Shu-Fei, 2008. "Interval estimation for a Pareto distribution based on a doubly type II censored sample," Computational Statistics & Data Analysis, Elsevier, vol. 52(7), pages 3779-3788, March.
    2. Shu-Fei Wu, 2007. "Interval Estimation for the Two-Parameter Exponential Distribution Based on the Doubly Type II Censored Sample," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(3), pages 489-496, June.
    3. Zhenmin Chen, 1996. "Joint confidence region for the parameters of pareto distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 44(1), pages 191-197, December.
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    Cited by:

    1. Fen Jiang & Junmei Zhou & Jin Zhang, 2020. "Restricted minimum volume confidence region for Pareto distribution," Statistical Papers, Springer, vol. 61(5), pages 2015-2029, October.

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