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

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.