Half Logistic - Pareto Distribution in Acceptance Sampling Plans Based on Truncated Life Tests.

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Title: Half Logistic - Pareto Distribution in Acceptance Sampling Plans Based on Truncated Life Tests.
Authors: Prakash, S. Bhanu1 prakash9293165890@gmail.com, Jilani, Sd.2 jilanisyed1992@gmail.com, Latha, D. Madhu3 koppisittemadhulatha@gmail.com, Purnima, D. Naga1 munukutla1977@gmail.com, Sailaja, V. Lakshmi1 sailajavaradhi@gmail.com
Source: IAENG International Journal of Applied Mathematics. Mar2026, Vol. 56 Issue 3, p1051-1057. 7p.
Subjects: Acceptance sampling, Pareto distribution, Quality control, Accelerated life testing, False positive error, Sample size (Statistics)
Abstract: This paper proposes an innovative acceptance sampling plan under a truncated life test framework, assuming that the lifetime of a product follows a Half Logistic-Pareto Distribution (HLPD). For different acceptance numbers, confidence levels, and ratios of test duration to the true mean lifetime, the minimum required sample sizes are determined to validate the specified mean life. The corresponding operating characteristic (OC) values and producer's risk associated with the proposed plan are also evaluated. Comprehensive tables are provided, and the plan's performance is illustrated and interpreted through detailed numerical examples. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Half Logistic - Pareto Distribution in Acceptance Sampling Plans Based on Truncated Life Tests.
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Mar2026, Vol. 56 Issue 3, p1051-1057. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Acceptance+sampling%22">Acceptance sampling</searchLink><br /><searchLink fieldCode="DE" term="%22Pareto+distribution%22">Pareto distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Quality+control%22">Quality control</searchLink><br /><searchLink fieldCode="DE" term="%22Accelerated+life+testing%22">Accelerated life testing</searchLink><br /><searchLink fieldCode="DE" term="%22False+positive+error%22">False positive error</searchLink><br /><searchLink fieldCode="DE" term="%22Sample+size+%28Statistics%29%22">Sample size (Statistics)</searchLink>
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  Data: This paper proposes an innovative acceptance sampling plan under a truncated life test framework, assuming that the lifetime of a product follows a Half Logistic-Pareto Distribution (HLPD). For different acceptance numbers, confidence levels, and ratios of test duration to the true mean lifetime, the minimum required sample sizes are determined to validate the specified mean life. The corresponding operating characteristic (OC) values and producer's risk associated with the proposed plan are also evaluated. Comprehensive tables are provided, and the plan's performance is illustrated and interpreted through detailed numerical examples. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Code: eng
        Text: English
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        StartPage: 1051
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      – SubjectFull: Acceptance sampling
        Type: general
      – SubjectFull: Pareto distribution
        Type: general
      – SubjectFull: Quality control
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      – SubjectFull: Accelerated life testing
        Type: general
      – SubjectFull: False positive error
        Type: general
      – SubjectFull: Sample size (Statistics)
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              Text: Mar2026
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              Y: 2026
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