The capacity of a three-dimensional (0 1) run length constrained channel is shown to satisfy 0 522501741838 0 526880847825.

Two-dimensional binary patterns that satisfy onedimensional (d; k) run-length constraints both horizontally and vertically are considered. For a given d and k, the capacity Cd; k is defined as Cd; k = limm;n!1 log2N (d; k) m;n =mn, where N (d; k) m;n denotes the number of m n rectangular patterns that satisfy the two-dimensional (d; k) run-length constraint. Bounds on Cd; k are given and it is ...

The paradigm of minimal length encoding is used for superior segmenting and compressing of waveforms. These methods sre shown to be applicable also for segmenting and edge nding in pictures.

We identify some issues in measuring the strongest path connecting pairs of actors that arise in attempts to generalize binary graph concepts to valued graphs. Neither Peay’s path value nor Flament’s path length indicators take into account the costs of interacting via long chains of intermediaries. We proposed two alternative measures of optimal connections between dyads, respectively, dividin...

Cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts are commonly used to detect small changes in the parameters of production processes. Recently, a new control structure was introduced, named as mixed EWMA–CUSUM control chart, which combined both charts. The current study provides a detailed comparison of these three types of control charts when the process p...

The Burr type XII has been studied for various applications of lifetime modelings. However, control charts related to the Burr type XII percentiles have not been seen in the literature. In this paper, three control charts for the Burr type XII percentiles are investigated. An extensive Monte Carlo simulation study is conducted to compare among the Shewhart-type chart, and parametric bootstrap c...

The exponentially weighted moving average (EWMA) X chart is effective in detecting small shifts. However, the EWMA X chart is not robust enough to prevent errors in estimating the process standard deviation or a changing standard deviation. To overcome this problem, Zhang et al. suggested the EWMA t chart in 2009. The existing optimal design of the EWMA t chart is based on the average run lengt...