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Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics

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Abstract

In this article, an acceptance sampling inspection plan is proposed when the quality characteristic follows the Lindley distribution. In this sampling plan, an exact approach has been introduced using the Lindley distributed quality characteristic while an approximate approach of acceptance sampling inspection has also been provided using the power Lindley distributed quality characteristic based on Box–Cox transformation for approximation to near normally distributed data. The plan parameters have been obtained by two approaches: the acceptable quality level (AQL) and the limiting quality level (LQL). For given producer’s risk and consumer’s risk, the plan parameters are reported according to various values of the AQL and LQL. Two real life examples are provided to illustrate the performance of the exact and approximated approach of the proposed acceptance sampling inspection plan.

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The link of the dataset used in this study is included within the article, and data set also provided in the article.

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Acknowledgements

The authors express their sincere thanks to the three esteemed Reviewers and the Editor for making some useful suggestions on an earlier version of this manuscript which resulted in this improved version.

Funding

This research received no external or internal funding.

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Authors and Affiliations

  1. Department of Statistics, Central University of Rajasthan, Ajmer, Rajasthan, India

    Mahendra Saha & Harsh Tripathi

  2. Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India

    Sanku Dey

  3. Department of Statistics, Visva-Bharati University, Santiniketan, India

    Sudhansu S. Maiti

Authors
  1. Mahendra Saha
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  2. Harsh Tripathi
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  3. Sanku Dey
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  4. Sudhansu S. Maiti
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All authors contributed equally to this work. All authors contributed equally to this work, have read and agreed to the published version of the manuscript.

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Correspondence to Mahendra Saha.

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Saha, M., Tripathi, H., Dey, S. et al. Acceptance sampling inspection plan for the Lindley and power Lindley distributed quality characteristics. Int J Syst Assur Eng Manag 12, 1410–1419 (2021). https://doi.org/10.1007/s13198-021-01349-8

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  • DOI: https://doi.org/10.1007/s13198-021-01349-8

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