Serkan Eryilmaz

TL;DR: Shewhart-type distribution-free control charts are considered for the known in-control median of a continuous process distribution based on the Wilcoxon signed-rank statistic and some runs type rules and can have better out-of-control performance than the Shewhart X-bar chart and the basicsigned-rank chart for the normal distribution and for some heavy-tailed distributions.

TL;DR: In this paper, an overview of the research performed on reliability studies of consecutive k-outof-n and related systems during the last decade is presented, in particular, methods for reliability evaluation, importance and optimal arrangements of components, lifetime distribution, and stochastic orderings of such systems are presented, also research results on related systems are summarized.

TL;DR: The reliability properties of consecutive k-out-of-n systems with arbitrarily dependent components are studied and efficient formulas to compute the reliability characteristics such as meantime to failure, failure rate, and mean residual lifetime are presented.

TL;DR: An explicit expression for the reliability function of the system for arbitrary lifetime distributions is obtained for a k-out-of-n:G system equipped with a single warm standby unit.

TL;DR: Two new Shewhart-type nonparametric control charts are proposed for monitoring the unknown location parameter of a continuous population in Phase II (prospective) applications and are shown to have robust in-control performance and are more efficient when the underlying distribution is t (symmetric with heavier tails than the normal) or gamma (1, 1) (right-skewed).