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Generalized Confidence Intervals for Zero-Inflated Pareto Distribution

Author

Listed:
  • Xiao Wang

    (School of Mathematics and Statistics, Qingdao University, Qingdao 266000, China
    Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100049, China)

  • Xinmin Li

    (School of Mathematics and Statistics, Qingdao University, Qingdao 266000, China)

Abstract

This paper considers interval estimations for the mean of Pareto distribution with excess zeros. Three approaches for interval estimation are proposed based on fiducial generalized pivotal quantities (FGPQs), respectively. Simulation studies are performed to assess the performance of the proposed methods, along with three measurements to determine comparisons with competing approaches. The advantages and disadvantages of each method are provided. The methods are illustrated using a real phone call dataset.

Suggested Citation

  • Xiao Wang & Xinmin Li, 2021. "Generalized Confidence Intervals for Zero-Inflated Pareto Distribution," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3272-:d:704120
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    References listed on IDEAS

    as
    1. 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.
    2. Badiollah Asrabadi, 1990. "Estimation in the pareto distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 37(1), pages 199-205, December.
    3. 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.
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