IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v82y2012i8p1383-1395.html
   My bibliography  Save this article

Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model

Author

Listed:
  • Wang, Liang
  • Shi, Yimin

Abstract

Based on a new life test plan called a progressive first-failure-censoring scheme, the estimation problem of the reliability performances is considered for a semi-parameter class of distributions by using Bayes and non-Bayes methods. In order to investigate the accuracy of estimation, an illustrative example is examined numerically by means of Monte-Carlo simulation.

Suggested Citation

  • Wang, Liang & Shi, Yimin, 2012. "Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(8), pages 1383-1395.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:8:p:1383-1395
    DOI: 10.1016/j.matcom.2011.12.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475412000031
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2011.12.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Xiuchun & Shi, Yimin & Wei, Jieqiong & Chai, Jian, 2007. "Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 320-326.
    2. Wu, Shuo-Jye & Kus, Coskun, 2009. "On estimation based on progressive first-failure-censored sampling," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3659-3670, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Essam A. Ahmed, 2017. "Estimation and prediction for the generalized inverted exponential distribution based on progressively first-failure-censored data with application," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(9), pages 1576-1608, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ahmed Soliman & N. Abou-elheggag & A. Abd ellah & A. Modhesh, 2012. "Bayesian and non-Bayesian inferences of the Burr-XII distribution for progressive first-failure censored data," METRON, Springer;Sapienza Università di Roma, vol. 70(1), pages 1-25, April.
    2. Amel Abd-El-Monem & Mohamed S. Eliwa & Mahmoud El-Morshedy & Afrah Al-Bossly & Rashad M. EL-Sagheer, 2023. "Statistical Analysis and Theoretical Framework for a Partially Accelerated Life Test Model with Progressive First Failure Censoring Utilizing a Power Hazard Distribution," Mathematics, MDPI, vol. 11(20), pages 1-21, October.
    3. Y. L. Lio & Tzong-Ru Tsai, 2012. "Estimation of δ= P ( X > Y ) for Burr XII distribution based on the progressively first failure-censored samples," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(2), pages 309-322, April.
    4. M. Hermanns & E. Cramer, 2018. "Inference with progressively censored k-out-of-n system lifetime data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(4), pages 787-810, December.
    5. Jessie Marie Byrnes & Yu-Jau Lin & Tzong-Ru Tsai & Yuhlong Lio, 2019. "Bayesian Inference of δ = P ( X < Y ) for Burr Type XII Distribution Based on Progressively First Failure-Censored Samples," Mathematics, MDPI, vol. 7(9), pages 1-24, September.
    6. Sukhdev Singh & Yogesh Tripathi, 2015. "Reliability sampling plans for a lognormal distribution under progressive first-failure censoring with cost constraint," Statistical Papers, Springer, vol. 56(3), pages 773-817, August.
    7. Barranco-Chamorro, I. & Luque-Calvo, P.L. & Jiménez-Gamero, M.D. & Alba-Fernández, M.V., 2017. "A study of risks of Bayes estimators in the generalized half-logistic distribution for progressively type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 130-147.
    8. Abdullah Fathi & Al-Wageh A. Farghal & Ahmed A. Soliman, 2022. "Bayesian and Non-Bayesian Inference for Weibull Inverted Exponential Model under Progressive First-Failure Censoring Data," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    9. Mohammed S. Kotb & Huda M. Alomari, 2024. "Estimating the entropy of a Rayleigh model under progressive first-failure censoring," Statistical Papers, Springer, vol. 65(5), pages 3135-3154, July.
    10. Soliman, Ahmed A. & Abd-Ellah, Ahmed H. & Abou-Elheggag, Naser A. & Abd-Elmougod, Gamal A., 2012. "Estimation of the parameters of life for Gompertz distribution using progressive first-failure censored data," Computational Statistics & Data Analysis, Elsevier, vol. 56(8), pages 2471-2485.
    11. Shubham Saini & Renu Garg, 2022. "Reliability inference for multicomponent stress–strength model from Kumaraswamy-G family of distributions based on progressively first failure censored samples," Computational Statistics, Springer, vol. 37(4), pages 1795-1837, September.
    12. Samir K. Ashour & Ahmed A. El-Sheikh & Ahmed Elshahhat, 2022. "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 885-923, August.
    13. Lee, Wen-Chuan & Wu, Jong-Wuu & Hong, Ching-Wen, 2009. "Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2167-2179.
    14. Kapil Kumar & Indrajeet Kumar & Hon Keung Tony Ng, 2024. "On Estimation of Shannon’s Entropy of Maxwell Distribution Based on Progressively First-Failure Censored Data," Stats, MDPI, vol. 7(1), pages 1-22, February.
    15. Essam A. Ahmed, 2017. "Estimation and prediction for the generalized inverted exponential distribution based on progressively first-failure-censored data with application," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(9), pages 1576-1608, July.
    16. Gunasekera, Sumith, 2018. "Inference for the Burr XII reliability under progressive censoring with random removals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 182-195.
    17. Shuo Gao & Wenhao Gui, 2019. "Parameter estimation of the inverted exponentiated Rayleigh distribution based on progressively first-failure censored samples," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 925-936, October.
    18. Lauren Sauer & Yuhlong Lio & Tzong-Ru Tsai, 2020. "Reliability Inference for the Multicomponent System Based on Progressively Type II Censored Samples from Generalized Pareto Distributions," Mathematics, MDPI, vol. 8(7), pages 1-14, July.
    19. Ajit Chaturvedi & Renu Garg & Shubham Saini, 2022. "Estimation and testing procedures for the reliability characteristics of Kumaraswamy-G distributions based on the progressively first failure censored samples," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 494-517, June.
    20. Heba S. Mohammed & Saieed F. Ateya & Essam K. AL-Hussaini, 2017. "Estimation based on progressive first-failure censoring from exponentiated exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(8), pages 1479-1494, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:82:y:2012:i:8:p:1383-1395. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.