IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v79y2009i7p2167-2179.html
   My bibliography  Save this article

Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model

Author

Listed:
  • Lee, Wen-Chuan
  • Wu, Jong-Wuu
  • Hong, Ching-Wen

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. Nevertheless, many processes possess a non-normal lifetime model, the assumption of normality is often erroneous. Progressively censoring scheme is quite useful in many practical situations where budget constraints are in place or there is a demand for rapid testing. The study will apply data transformation technology to constructs a maximum likelihood estimator (MLE) of CL under the Burr XII distribution based on the progressively type II right censored sample. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L. Finally, we give two examples to illustrate the use of the testing procedure under given significance level α.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:7:p:2167-2179
    DOI: 10.1016/j.matcom.2008.12.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408003911
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2008.12.001?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.
    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. Jianping Zhu & Hua Xin & Chenlu Zheng & Tzong-Ru Tsai, 2021. "Inference for the Process Performance Index of Products on the Basis of Power-Normal Distribution," Mathematics, MDPI, vol. 10(1), pages 1-14, December.
    2. Mohammad Vali Ahmadi & Jafar Ahmadi & Mousa Abdi, 2019. "Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model," 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(2), pages 251-275, April.
    3. Laumen Benjamin & Cramer Erhard, 2015. "Likelihood Inference for the Lifetime Performance Index under Progressive Type-II Censoring," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 59-73, December.
    4. Tzong-Ru Tsai & Hua Xin & Ya-Yen Fan & Yuhlong Lio, 2022. "Bias-Corrected Maximum Likelihood Estimation and Bayesian Inference for the Process Performance Index Using Inverse Gaussian Distribution," Stats, MDPI, vol. 5(4), pages 1-18, November.
    5. Mohammad Vali Ahmadi & Mahdi Doostparast & Jafar Ahmadi, 2015. "Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1094-1107, April.

    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. 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.
    2. 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.
    3. 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.
    4. Shuo-Jye Wu & Syuan-Rong Huang, 2010. "Optimal progressive group-censoring plans for exponential distribution in presence of cost constraint," Statistical Papers, Springer, vol. 51(2), pages 431-443, 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:79:y:2009:i:7:p:2167-2179. 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.