IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v44y2017i2p376-384.html
   My bibliography  Save this article

Economic design of acceptance sampling plans for truncated life test using Frechet distribution

Author

Listed:
  • D. Malathi
  • S. Muthulakshmi

Abstract

In this article designing of acceptance sampling plans for the truncated life test is proposed using economic approach by assuming that the lifetime of a product follows Frechet distribution based on median. The optimal sampling plans to meet the consumer’s confidence level with minimum total cost are designed. Efficiency of the proposed plan is also analyzed.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:japsta:v:44:y:2017:i:2:p:376-384
    DOI: 10.1080/02664763.2016.1169260
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2016.1169260
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/02664763.2016.1169260?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. Vijayaraghavan & V. Soundararajan, 1998. "Design and evaluation of skip-lot sampling inspection plans with double-sampling plan as the reference plan," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(3), pages 341-348.
    2. 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.
    3. 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.
    4. Ayman Baklizi & Abed El Qader El Masri, 2004. "Acceptance Sampling Based on Truncated Life Tests in the Birnbaum Saunders Model," Risk Analysis, John Wiley & Sons, vol. 24(6), pages 1453-1457, December.
    5. 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.
    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. 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. Amjad D. Al-Nasser & Muhammad Ahsan ul Haq, 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.

    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Amjad D. Al-Nasser & Amer I. Al-Omari & Ahmed Bani-Mustafa & Khalifa Jaber, 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. Al-Omari Amer I. & Al-Nasser Amjad D. & Gogah Fatima Salem, 2016. "Double Acceptance Sampling Plan for Time-Truncated Life Tests Based on Half Normal Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(2), pages 93-99, December.
    10. Muhammad Aslam & Gadde Srinivasa Rao & Mohammed Albassam, 2022. "Sampling Inspection Plan to Test Daily COVID-19 Cases Using Gamma Distribution under Indeterminacy Based on Multiple Dependent Scheme," IJERPH, MDPI, vol. 19(9), pages 1-14, April.
    11. 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.
    12. 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.
    13. Chien-Wei Wu & Ming-Hung Shu & Pei-An Wang & Bi-Min Hsu, 2021. "Variables skip-lot sampling plans on the basis of process capability index for products with a low fraction of defectives," Computational Statistics, Springer, vol. 36(2), pages 1391-1413, June.
    14. Kumar Mahesh & P C Ramyamol, 2016. "Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution," Stochastics and Quality Control, De Gruyter, vol. 31(1), pages 23-36, June.
    15. 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.
    16. Gauss Cordeiro & Cláudio Cristino & Elizabeth Hashimoto & Edwin Ortega, 2013. "The beta generalized Rayleigh distribution with applications to lifetime data," Statistical Papers, Springer, vol. 54(1), pages 133-161, February.
    17. Shovan Chowdhury, 2016. "Type I Censored Acceptance Sampling Plan for the Generalized Weibull Model," Working papers 208, Indian Institute of Management Kozhikode.
    18. Muhammad Zahir Khan & Muhammad Farid Khan & Muhammad Aslam & Abdur Razzaque Mughal, 2018. "Design of Fuzzy Sampling Plan Using the Birnbaum-Saunders Distribution," Mathematics, MDPI, vol. 7(1), pages 1-9, December.
    19. Harsh Tripathi & Mahendra Saha & Sanku Dey, 2022. "A new approach of time truncated chain sampling inspection plan and its applications," 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. 13(5), pages 2307-2326, October.
    20. Abdisalam Hassan Muse & Samuel M. Mwalili & Oscar Ngesa, 2021. "On the Log-Logistic Distribution and Its Generalizations: A Survey," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-93, June.

    More about this item

    Statistics

    Access and download statistics

    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:44:y:2017:i:2:p:376-384. 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.