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Developing Single-Acceptance Sampling Plans Based On A Truncated Lifetime Test For An Ishita Distribution

Author

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  • Al-Nasser Amjad D.

    (Department of Statistics, Science Faculty, Yarmouk University, Irbid, Jordan .)

  • Al-Omari Amer I.

    (Al al-Bayt University, Mafraq, Jordan .)

  • Bani-Mustafa Ahmed

    (College of Engineering, Australian College of Kuwait (ACK), Kuwait .)

  • Jaber Khalifa

    (Al Falah University, Dubai, Kuwait)

Abstract

Acceptance sampling plans are statistical procedures that are used for quality control and improvement in cases where it is not possible to test every item in a lot of materials. The outcome of this test determines whether the entire lot is accepted or rejected based on a random sample. In this procedure, an important characteristic of the materials is their lifetime sampling distribution, and this can vary from sample to sample. In this article, a new lifetime distribution, known as an Ishita distribution, is considered for developing a new single-acceptance sampling plan. The new acceptance sampling plan is developed under a condition wherein the mean lifetime test is truncated within a pre-specified time period. Based on this condition, the parameters of the acceptance sampling plan including the operating characteristics function and the minimum sample size are obtained. The producer’s risk in relation to the entire lot of materials is derived and illustrated by numerical examples.

Suggested Citation

  • 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.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:3:p:393-406:n:5
    DOI: 10.21307/stattrans-2018-022
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    References listed on IDEAS

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    1. Kamlesh Kumar Shukla & Rama Shanker, 2018. "Power Ishita Distribution And Its Application To Model Lifetime Data," Statistics in Transition New Series, Polish Statistical Association, vol. 19(1), pages 135-148, March.
    2. 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.
    3. 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.
    4. 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.
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