Performance of attribute control charts for monitoring the shape parameter of modified power function distribution in the presence of measurement error

Abstract

AbstractIn this paper, we develop attribute control charts (CCs) using two life data distributions named as Transmuted Power function distribution (TPFD) and Survival Weighted Power function distribution (SWPFD) under a time truncated life test (TTLT). The evaluation of the presented charts is based on the average run length and presented these evaluations in form of tables. The comparative study has been done for the suggested CCs in detail based on the criteria of average run length. We take up a real‐life situation assuming that the lifespan of the items under study follows the TPFD and SWPFD to assess the competence of the proposed idea. A simulation study is given to support our idea that the CCs based on SWPFD performs better as compare to control chart based on TPFD for monitoring of non‐conforming items.