IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v33y2006i3p291-296.html
   My bibliography  Save this article

An economic reliability test plan: Log-logistic distribution

Author

Listed:
  • R. R. L. Kantam
  • G. Srinivasa Rao
  • B. Sriram

Abstract

Sampling plans in which items that are put to test, to collect the life of the items in order to decide upon accepting or rejecting a submitted lot, are called reliability test plans. The basic probability model of the life of the product is specified as the well-known log-logistic distribution with a known shape parameter. For a given producer's risk, sample size, termination number, and waiting time to terminate the test plan are computed. The preferability of the test plan over similar plans existing in the literature is established with respect to cost and time of the experiment.

Suggested Citation

  • R. R. L. Kantam & G. Srinivasa Rao & B. Sriram, 2006. "An economic reliability test plan: Log-logistic distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(3), pages 291-296.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:3:p:291-296
    DOI: 10.1080/02664760500445681
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664760500445681
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664760500445681?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. R. R. L. Kantam & K. Rosaiah & G. Srinivasa Rao, 2001. "Acceptance sampling based on life tests: Log-logistic model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(1), pages 121-128.
    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. Yuge Du & Wenhao Gui, 2019. "Goodness of Fit Tests for the Log-Logistic Distribution Based on Cumulative Entropy under Progressive Type II Censoring," Mathematics, MDPI, vol. 7(4), pages 1-20, April.
    2. Mahendra Saha & Harsh Tripathi & Sanku Dey & Sudhansu S. Maiti, 2021. "Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics," 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. 12(6), pages 1410-1419, December.
    3. Muhammad Aslam & Chi-Hyuck Jun, 2010. "A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 405-414.
    4. Kapil Kumar, 2018. "Classical and Bayesian estimation in log-logistic distribution under random censoring," 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. 9(2), pages 440-451, April.
    5. Wanbo Lu & Tzong-Ru Tsai, 2009. "Interval censored sampling plans for the log-logistic lifetime distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(5), pages 521-536.
    6. Mughal Abdur Razzaque, 2011. "A Hybrid Economic Group Acceptance Sampling Plan for Exponential Lifetime Distribution," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 163-171, January.
    7. Aslam Muhammad & Mughal Abdur Razzaque, 2011. "Economic Reliability Group Acceptance Sampling Plans Based on the Inverse-Rayleigh and the Log-Logistic Distributions," Stochastics and Quality Control, De Gruyter, vol. 26(1), pages 15-22, January.

    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. Al-Nasser Amjad D. & Ahsan ul Haq Muhammad, 2021. "Acceptance sampling plans from a truncated life test based on the power Lomax distribution with application to manufacturing," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 1-13, September.
    2. Kantam R. R. L. & Rao A. Vasudeva & Rao G. Srinivasa, 2006. "Control Charts for the Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 21(1), pages 77-86, January.
    3. Rao G. Srinivasa & Kantam R. R. L., 2010. "Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 153-167, January.
    4. Al-Omari Amer I., 2016. "Acceptance Sampling Plans Based on Truncated Lifetime Tests for Transmuted Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 85-91, December.
    5. Shovan Chowdhury, 2016. "Type I Censored Acceptance Sampling Plan for the Generalized Weibull Model," Working papers 208, Indian Institute of Management Kozhikode.
    6. Jose K. K. & Sivadas Remya, 2015. "Negative Binomial Marshall–Olkin Rayleigh Distribution and Its Applications," Stochastics and Quality Control, De Gruyter, vol. 30(2), pages 89-98, December.
    7. Amer Al-Omari, 2018. "Improved acceptance sampling plans based on truncated life tests for Garima distribution," 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. 9(6), pages 1287-1293, December.
    8. Al-Nasser Amjad D. & Al-Omari Amer I. & Bani-Mustafa Ahmed & Jaber Khalifa, 2018. "Developing Single-Acceptance Sampling Plans Based On A Truncated Lifetime Test For An Ishita Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 19(3), pages 393-406, September.
    9. Tzong-Ru Tsai & Shuo-Jye Wu, 2006. "Acceptance sampling based on truncated life tests for generalized Rayleigh distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 595-600.
    10. Jose K. K. & Paul Albin, 2018. "Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 61-70, June.
    11. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima & Haq Muhammad A., 2017. "On the Exponentiated Generalized Inverse Rayleigh Distribution Based on Truncated Life Tests in a Double Acceptance Sampling Plan," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 37-47, June.
    12. Wanbo Lu & Tzong-Ru Tsai, 2009. "Interval censored sampling plans for the log-logistic lifetime distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(5), pages 521-536.
    13. Rosaiah K. & Kantam R. R. L., 2005. "Acceptance Sampling Based on the Inverse Rayleigh Distribution," Stochastics and Quality Control, De Gruyter, vol. 20(2), pages 277-286, January.
    14. Kapil Kumar, 2018. "Classical and Bayesian estimation in log-logistic distribution under random censoring," 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. 9(2), pages 440-451, April.
    15. D. Malathi & S. Muthulakshmi, 2017. "Economic design of acceptance sampling plans for truncated life test using Frechet distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(2), pages 376-384, January.
    16. Muhammad Aslam & Chi-Hyuck Jun, 2009. "A group acceptance sampling plan for truncated life test having Weibull distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 1021-1027.
    17. Rosaiah K. & Kantam R. R. L. & Kumar Santosh, 2006. "Reliability Test Plans for Exponentiated Log-Logistic Distribution," Stochastics and Quality Control, De Gruyter, vol. 21(2), pages 279-289, January.
    18. Shovan Chowdhury, 2018. "Time Truncated Acceptance Sampling Plans for Fréchet Model," Working papers 290, Indian Institute of Management Kozhikode.
    19. Muhammad Aslam & Chi-Hyuck Jun, 2010. "A double acceptance sampling plan for generalized log-logistic distributions with known shape parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(3), pages 405-414.
    20. Jose K. K. & Joseph Jeena, 2018. "Reliability Test Plan for the Gumbel-Uniform Distribution," Stochastics and Quality Control, De Gruyter, vol. 33(1), pages 71-81, 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:taf:japsta:v:33:y:2006:i:3:p:291-296. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    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.