TY - JOUR ID - 3091 TI - Minimax risk strategy for‎ ‎testing capability JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Parchami, Abbas AU - Sadeghpour Gildeh, Bahram AD - Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran AD - Department of Statistics, Factually of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran Y1 - 2022 PY - 2022 VL - 11 IS - 1 SP - 47 EP - 59 KW - Testing hypothesis KW - Process capability index KW - Precision index KW - Minimax procedure KW - Loss function DO - 10.22103/jmmrc.2021.18262.1171 N2 - ‎Process capability indices are used widely throughout the world to give a quick indication of a process capability in a format that is easy to use and understand‎. ‎A process capability index $C_p$ that constructed for measuring the quality is an effective tool for assessing process capability‎, ‎since this index can reflect whether a centering process is capable of reproducing items meeting the specifications limits‎. ‎The minimax approach is proposed in this paper for testing capability on the basis of precision index Cp when the producer goal is avoiding the largest possible risk‎. ‎Motivations and benefits of proposing minimax approach are discussed for capability test‎. ‎Also‎, ‎the proposed method clarified by an industrial application. UR - https://jmmrc.uk.ac.ir/article_3091.html L1 - https://jmmrc.uk.ac.ir/article_3091_c46b7b8b3f403fe02e8d86ef75d574f4.pdf ER -