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Double-Acceptance Sampling Plan for Exponentiated Fréchet Distribution with Known Shape Parameters

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  • M. Sridhar Babu
  • G. Srinivasa Rao
  • K. Rosaiah

Abstract

We suppose that a product’s lifetime follow the exponentiated Fréchet distribution of defined shape parameters. Based on this assumption, a double-acceptance sampling plan is constructed. The zero and one failure framework is essentially thought of: if no errors are found from the first sample, then the lot is approved; also, if at least two failures occur, it is rejected. In the first sample, if one failure is observed, then the second sample is taken and decided for the same length as the first one. The cumulative sample sizes of the first and second samples are determined on the basis of the stated confidence level of the consumer to ensure that the actual median is longer than the given life. As indicated by the various ratios of the actual median life to specified median lifetime, the operating characteristics are calculated and placed in presented tables. To decrease the risk of the producer at the predefined level, the minimum ratios of this sort are additionally obtained. Lastly, examples are provided for representation reasons for the proposed model.

Suggested Citation

  • M. Sridhar Babu & G. Srinivasa Rao & K. Rosaiah, 2021. "Double-Acceptance Sampling Plan for Exponentiated Fréchet Distribution with Known Shape Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, February.
    • Handle: RePEc:hin:jnlmpe:7308454
    DOI: 10.1155/2021/7308454
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