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Statistical Inference for Two Lomax Populations Under Balanced Joint Progressive Type-II Censoring Scheme

Author

Listed:
  • Yuanqi Wang

    (School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China)

  • Jinchen Xiang

    (School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China)

  • Wenhao Gui

    (School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China)

Abstract

In recent years, joint censoring schemes have gained significant attention in lifetime experiments and reliability analysis. A refined approach, known as the balanced joint progressive censoring scheme, has been introduced in statistical studies. This research focuses on statistical inference for two Lomax populations under this censoring framework. Maximum likelihood estimation is employed to derive parameter estimates, and asymptotic confidence intervals are constructed using the observed Fisher information matrix. From a Bayesian standpoint, posterior estimates of the unknown parameters are obtained under informative prior assumptions. To evaluate the effectiveness and precision of these estimators, a numerical study is conducted. Additionally, a real dataset is analyzed to demonstrate the practical application of these estimation methods.

Suggested Citation

  • Yuanqi Wang & Jinchen Xiang & Wenhao Gui, 2025. "Statistical Inference for Two Lomax Populations Under Balanced Joint Progressive Type-II Censoring Scheme," Mathematics, MDPI, vol. 13(9), pages 1-25, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:9:p:1536-:d:1650788
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    References listed on IDEAS

    as
    1. Shuvashree Mondal & Debasis Kundu, 2020. "On the joint Type-II progressive censoring scheme," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(4), pages 958-976, February.
    2. Mahmoud Mohamed Abdul Wahab & El-Sagheer Rashad Mohamed & Soliman Ahmed Abo-Elmagd & Abd Ellah Ahmed Hamed, 2014. "Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data," Stochastics and Quality Control, De Gruyter, vol. 29(1), pages 39-51, June.
    3. Shuvashree Mondal & Debasis Kundu, 2019. "A new two sample type-II progressive censoring scheme," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(10), pages 2602-2618, May.
    4. Balakrishnan, N. & Rasouli, Abbas, 2008. "Exact likelihood inference for two exponential populations under joint Type-II censoring," Computational Statistics & Data Analysis, Elsevier, vol. 52(5), pages 2725-2738, January.
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