IDEAS home Printed from
   My bibliography  Save this article

Assessing lifetime performance index of Weibull distributed products using progressive type II right censored samples


  • Sanku Dey

    (St. Anthony’s College)

  • Vikas Kumar Sharma

    () (Central University of Rajasthan)

  • M. Z. Anis

    (SQC & OR Unit, Indian Statistical Institute)

  • Babita Yadav

    (SQC & OR Unit, Indian Statistical Institute)


Abstract An important subject of discourse in manufacturing industries is the assessing of the lifetime performance index. If the lifetime of an item/product is characterized by a random variable X and considered to be satisfactory and if X exceeds a given lower specification limit, say L, then the probability of a satisfactory item is defined as $$P_{r} = P(X \ge L)$$ P r = P ( X ≥ L ) , called the conforming rate. In manufacturing industries, the lifetime performance index, say $$C_{L}$$ C L , proposed by Montgomery (Introduction to statistical quality control. Wiley, New York, 1985), is used to measure the performance of the product. There exists a relationship between the conforming rate ( $$P_{r}$$ P r ) and the lifetime performance index ( $$C_{L}$$ C L ) when the random variable X follows a parametric distribution. Henceforth, we use $$C_{L}$$ C L instead of $$P_{r}$$ P r because it is widely used in manufacturing industries as a process capability index. This study constructs various point and interval estimators of the lifetime performance index based on progressive type II right censored data for Weibull distribution with respect to both classical and Bayesian set up. Further, hypothesis testing problems concerning $$C_{L}$$ C L are proposed. We perform Monte Carlo simulations to compare the performances of the Maximum likelihood and Bayes estimates of $$C_{L}$$ C L under different censoring schemes. Finally, the potentiality of the model is analyzed by means of a real data set and a simulated sample.

Suggested Citation

  • Sanku Dey & Vikas Kumar Sharma & M. Z. Anis & Babita Yadav, 2017. "Assessing lifetime performance index of Weibull distributed products using progressive type II right 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. 8(2), pages 318-333, June.
  • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0437-z
    DOI: 10.1007/s13198-016-0437-z

    Download full text from publisher

    File URL:
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

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

    References listed on IDEAS

    1. Krishna, Hare & Kumar, Kapil, 2011. "Reliability estimation in Lindley distribution with progressively type II right censored sample," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(2), pages 281-294.
    2. Mohammed Z. Anis, 2008. "Basic Process Capability Indices: An Expository Review," International Statistical Review, International Statistical Institute, vol. 76(3), pages 347-367, December.
    Full references (including those not matched with items on IDEAS)


    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:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-016-0437-z. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.