Abstract In this article, an exponential model with only one shape parameter, which can be used in modeling survival data, reliability problems and fatigue life studies, is studied. We derive explicit expressions for some of its statistical and mathematical quantities including the ordinary...

Abstract We consider the Dagum distribution for estimating the reliability of a k -component stress-strength system with different shape values of the shape parameter. We assume that the system has strength modelled by k independent and identically distributed random variables, and each...

Abstract This article is a comparative study between the parametric asymptotic lower confidence limits and bootstrap lower confidence limits for the basic quantile based process capability indices based on the unified super-structure {C_{N_{p}}(u,v)} when the distribution of the quality...

Abstract In industry when a lot of items is sent for inspection, double acceptance sampling plans (DASP) are considered as a way to decide on acceptance or rejection of the lot. If the lot contains items with high sensitivity, then the measuring of quality characteristics is destructive or...

Abstract Nosocomial epidemics are infectious diseases which spread among different types of susceptible individuals in a health-care facility. To model this type of epidemics, we use a multi-type branching process with a multivariate negative binomial offspring distribution. In particular, we...

Abstract. Industrial quality control is one of the most important activities in modern production systems. Each undetected quality flaw may have disastrous consequence not only for the functioning of products, but also from the view point of safety and financial losses. The methods used in...

Abstract. The crossing point of two different distribution functions may be of interest for different reasons. The comparison of two different production processes with respect to failures may be one field of application, since the point of intersection of the corresponding distribution...

Abstract. The paper presents a model of multistage degraded system subject to L random failure modes and partial repairs. A transient analysis is performed and transient probabilities are calculated to find the availability, the mean of life times and of operational life times. Constant state...