The construction of a statistical test is investigated which is based only on “reliability” and “precision” as quality criteria. The reliability of a statistical test is quantified in a straightforward way by the probability that the decision of the test is correct. However, the...

Repairable systems are characterized by alternation of function times and repair times. The repair times are often neglected, and the investigation of the system is based on sequences of failure times and the corresponding counting processes. Nonhomogeneous Poisson processes describe cases of...

The absence of a valid and reliable scale to measure e-service quality forced early researchers to make use of some fairly unsatisfactory alternatives. To improve these previous studies, Parasuraman et al. (2005) developed and operationalized E-S-QUAL, a multi-item scale for examining website...

Control charts are the most popular tool to detect the occurrence of an assignable cause in a production process. Traditional control charts are based on the approximation with the normal distribution. In many practical situation, however, assuming normality is not adequate. Under these...

This paper is concerned with the exact distribution of argmax (argmin) of a sequence of random variables. By argmax (argmin), we mean the random variable which attains the maximum (minimum) of the sequence. Change point estimators are of this type and the asymptotic distribution of this kind of...

Acceptance sampling in quality control is a statistical methodology and consists of procedures for sentencing one or more incoming lots of finished products based on the inspection of sampled items drawn randomly from the lots. The theory of such procedures by attributes is often built upon the...

In this paper, new quality control charts for the mean are considered using robust extreme ranked set sampling (RERSS) method. The new charts are compared with the classical control charts using simple random sampling (SRS) and ranked set sampling methods (RSS). It is found that the RERSS charts...

One-sided cumulative sum control charts are constructed for controlling the parameters of a random variable with zero-truncated binomial distribution. It is observed that the Average Run Length (ARL) of the resulting control charts change considerably for a slight shift in the parameters of the...

In this note a moment inequality for the New is Better than Used in Laplace ordering (NBUL) class of lifetime distributions is derived. A simple test statistic for testing exponentiality against NBUL alternatives is constructed. The test statistic is proved to be asymptotically normal and...

The present paper provides a new approach to study the problem of optimal control of a two-item inventory system with different types of deterioration. The total cost, which includes the sum of the holding costs of inventory levels, the holding costs of one item due to the presence of the other...