IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v33y2006i6p595-600.html
   My bibliography  Save this article

Acceptance sampling based on truncated life tests for generalized Rayleigh distribution

Author

Listed:
  • Tzong-Ru Tsai
  • Shuo-Jye Wu

Abstract

This paper considers the problem of an acceptance sampling plan for a truncated life test when the lifetime follows the generalized Rayleigh distribution. For different acceptance numbers, confidence levels, and values of the ratio of the fixed experiment time to the specified mean life, the minimum sample sizes necessary to ensure the specified mean life are found. The operating characteristic values of the sampling plans and producer's risk are discussed. Some tables are presented and the use of the tables is illustrated by a numerical example.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:6:p:595-600
    DOI: 10.1080/02664760600679700
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664760600679700
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664760600679700?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. 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.
    2. 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.
    3. M. Aslam & C. -H. Jun & M. Ahmad, 2010. "Design of a time-truncated double sampling plan for a general life distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(8), pages 1369-1379.
    4. 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.
    5. 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.
    6. Ji Hwan Cha & Maxim Finkelstein, 2023. "Acceptance reliability sampling plan for items from heterogeneous populations," Journal of Risk and Reliability, , vol. 237(6), pages 1199-1208, December.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Harsh Tripathi & Mahendra Saha & Vishal Alha, 2022. "An Application of Time Truncated Single Acceptance Sampling Inspection Plan Based on Generalized Half-Normal Distribution," Annals of Data Science, Springer, vol. 9(6), pages 1243-1255, December.
    12. Byun, Manhee & Choe, Changgwon & Cheon, Seunghyun & Lee, Aejin & Lim, Hankwon, 2022. "Statistical and stochastic feasibility studies of potential liquid organic hydrogen carriers in a membrane reactor for simultaneous hydrogen storage and production: Technical, economic, and environmen," Renewable Energy, Elsevier, vol. 195(C), pages 1393-1411.
    13. 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.
    14. 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.
    15. 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.
    16. Ji Hwan Cha & F. G. Badía, 2021. "Variables acceptance reliability sampling plan based on degradation test," Statistical Papers, Springer, vol. 62(5), pages 2227-2245, October.
    17. Mahendra Saha & Harsh Tripathi & Anju Devi & Pratibha Pareek, 2024. "Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic," Annals of Data Science, Springer, vol. 11(5), pages 1687-1703, October.
    18. 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.
    19. 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.
    20. Tzong-Ru Tsai & Chin-Wei Lin, 2010. "Acceptance sampling plans under progressive interval censoring with likelihood ratio," Statistical Papers, Springer, vol. 51(2), pages 259-271, June.

    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, Statistics Poland, 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, Statistics Poland, vol. 19(3), pages 393-406, September.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    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:6:p:595-600. 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.