Determining the process efficiency index by nonparametric predictive inference method and investigating it in fuzzy environment

This paper presents a novel statistical approach to process capability index. With thisend in view, we present a nonparametric predictive approach to process capability index.Attention is restricted to the approach to process capability index for discrete processes.This approach is a statistical method based on fewer assumptions about probability dis-tributions, together with inferences based on factual data. The nonparametric predictiveapproach assumes exchangeability of random variables, both related to observed data andfuture observations, and uncertainty is quantified through using interval probabilities. Fi-nally, process capability indexes that are introduced in this study, are analyzed under thefuzzy environment.This paper presents a novel statistical approach to process capability index. With thisend in view, we present a nonparametric predictive approach to process capability index.Attention is restricted to the approach to process capability index for discrete processes.This approach is a statistical method based on fewer assumptions about probability dis-tributions, together with inferences based on factual data. The nonparametric predictiveapproach assumes exchangeability of random variables, both related to observed data andfuture observations, and uncertainty is quantified through using interval probabilities. Fi-nally, process capability indexes that are introduced in this study, are analyzed under thefuzzy environment.