‎Improved ‎time-‎censored ‎group sampling ‎schemes‎ ‎based ‎on ‎generalized ‎half-normal ‎distribution

Document Type : Research Articles

Authors

1 University of Mazandaran

2 Department of Statistics, University of Mazandaran, Babolsar, Iran

3 Universidad de La Laguna (ULL)‎, ‎38271 La Laguna‎, ‎Tenerife

10.22080/cjms.2026.30700.1783

Abstract

The intent of ‎this ‎article ‎is ‎to ‎propose‎ ‎an ‎attribute‎ group acceptance sampling plan under time-censoring when the lifetime of a product follows the generalized half-normal (‎GHN‎)‎ distribution‎. ‎The test plans are formulated by ‎using‎ a traditional two-point ‎method ‎and ‎also‎ ‎minimizing and limiting a linear combination of conventional producer and consumer ‎risks.‎‎ ‎T‎he optimal ‎number of ‎groups ‎‎ and ‎the ‎acceptance ‎number‎ are obtained using ‎‎integer nonlinear ‎programming. ‎T‎he suggested ‎optimal ‎group ‎plans‎ ‎ outperform the traditional optimal two-point plan in terms of sample size ‎when the producer and consumer risks ‎are ‎less ‎than a‎ ‎maximum ‎risk ‎tolerated ‎by ‎the ‎analyst.‎‎ ‎T‎he proposed plans are ‎applied ‎to a real data ‎set for illustrative ‎purposes.

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