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Abstract
A generalized process capability index, defined as the ratio of proportion of specification conformance (or, process yield) to proportion of desired (or, natural) conformance, has been developed. Almost all the process capabilities defined in the literature are directly or indirectly associated with this generalized index. Normal as well as non-normal and continuous as well as discrete random variables could be covered by this new index. It can also be assessed under either unilateral or bilateral specifications. We deal with the proposed index in case of normal, exponential and Poisson processes. Under each distributional assumption, point estimators for the proposed index are suggested and compared through simulation study. Two real-world applications have been discussed using the proposed index.
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Notes on contributors
Sudhansu S. Maiti
Sudhansu S. Maiti is a Reader (Associate Professor) in the department of Statistics, Visva-Bharati University. His research interest includes Reliability/Survival Analysis, Industrial Statistics and Information Theory.
Mahendra Saha
Mahendra Saha is a Ph.D. research student in the department of Statistics, Visva-Bharati University. His research interest is in Industrial Statistics.
Asok K. Nanda
Asok K. Nanda is Associate Professor with the Indian Institute of Science Education and Research (IISER) Kolkata. His research interest is in Reliability Theory, Survival Analysis, Information Theory and Industrial Statistics.