Abstract Controlling uncertainty has an ever-increasing importance in all areas of industry. To meet the demand, the International Organisation of Standardization (ISO) developed and develops “statistical” standards. However, while success and failure of technical standards can be assessed...

Abstract In [v. Collani, Theoretical Stochastics, Heldermann Verlag, 2004] and [v. Collani, Empirical Stochastics, Heldermann Verlag, 2004] Stochastics, the Science of Prediction is re-established, its basic concepts are developed and fundamental stochastic procedures are introduced. Stochastics...

Abstract Recently, Ohta et al. [Quality and Reliability Engineering International 17: 439-446, 2001] have studied the economic design of CCC (Cumulative Count of Conforming)- r charts for high-yield processes assuming a fixed hazard rate. Generally, however, the hazard rate is varying over time....

Abstract In reliability analysis, it is preferable to complete an experiment of data collection in a short time due to constraints concerning energy, money or other resources. In this paper we propose a relative measure called relative expected experimental time (REET) for a life testing...

Abstract Process capability indices C p and C pk are widely used in statistical quality control to assess the capability of a process. These indices are defined, based on the assumption that the quality characteristic follows a normal distribution. In this paper two new capability indices are...

Abstract This paper presents statistical inference procedures from S pn , a process capability index for asymmetrical processes proposed by Boyles. From the frequentist perspective, a conservative lower confidence bound is given. From the Bayesian perspective, the SIR algorithm is used to obtain...

Abstract Pearn et al. (Kotz and Johnson, Journal of Quality Technology 24: 216–233, 1992) proposed the process capability index C pmk , and investigated the statistical properties of the natural estimator for stable normal processes with constant mean μ . Chen and Hsu (Communications in...

Abstract Murthy and Sarma (Assam Statistical Review 12: 1–5, 1998) proposed and studied two biased estimators for the expectation of the normal distribution N ( μ , σ 2 ) when the coefficient of variation is known and is given by . Their estimators for small samples were found to be...

Abstract Some recent studies have proved that charts with variable sample size ( VSS ) detect moderate or larger shifts in normal and stable processes more quickly than the Standard Shewhart ( SS ) chart. But the statistical efficiency of charts, the speed at which they detect smaller shifts of...

Abstract In this paper, standard Cusum charts with head start value zero are compared with fast initial response (FIR) Cusum charts proposed by Lucas and Crosier (Technometrics 24: 199–205, 1982) from the viewpoint of the false alarm probability function. The focus in this comparison is...