<p>An acceptance sampling plan (AS) for truncated life tests is proposed based on the New Beta Power Birnbaum–Saunders (NBP–BS) distribution. In comparison with the classical Birnbaum–Saunders (BS) model and its variants, the NBP–BS distribution adds a beta-power shape component that substantially increases modeling flexibility, allowing a wider range of skewness, tail thickness, and hazard-rate shapes. This advantage yields more accurate failure probabilities at the specified truncation time, leading to sampling plans with more reliable producer–consumer risk control and efficient sample-size requirements. The minimum sample size satisfying a specified mean-life requirement is derived, and the corresponding operating characteristic values and producer’s risk are reported. Summary tables and numerical studies are provided, and the proposed plan is further demonstrated with a real-life application.</p>

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Acceptance sampling plans from truncated life tests of the Birnbaum–Saunders distribution based on the new beta power transformation

  • Noor S. Al-Momani,
  • Abedel-Qader S. Al-Masri

摘要

An acceptance sampling plan (AS) for truncated life tests is proposed based on the New Beta Power Birnbaum–Saunders (NBP–BS) distribution. In comparison with the classical Birnbaum–Saunders (BS) model and its variants, the NBP–BS distribution adds a beta-power shape component that substantially increases modeling flexibility, allowing a wider range of skewness, tail thickness, and hazard-rate shapes. This advantage yields more accurate failure probabilities at the specified truncation time, leading to sampling plans with more reliable producer–consumer risk control and efficient sample-size requirements. The minimum sample size satisfying a specified mean-life requirement is derived, and the corresponding operating characteristic values and producer’s risk are reported. Summary tables and numerical studies are provided, and the proposed plan is further demonstrated with a real-life application.