This study is a first step towards a comprehensive analysis of the effects of parameter
estimation on the monitoring of autocorrelated count processes. Focusing on Shewhart's c …

The process of serially dependent counts with deflation or inflation of zeros is commonly
observed in many applications. This paper investigates the monitoring of such a process, the …

In this work, we develop and study upper and lower one-sided EWMA control charts for
monitoring correlated counts with finite range. Often in practice, data of that kind can be …

The geometric first-order integer-valued autoregressive process (GINAR (1)) can be
particularly useful to model relevant discrete-valued time series, namely in statistical process …

Independence between successive counts is not a sensible premise while dealing, for
instance, with very high sampling rates. After assessing the impact of falsely assuming …

In this paper, we call attention for monitoring autocorrelated count data when there is an
excessive (or deficit) number of zeros in the count data. In particular, we propose to control …

Counted output, such as the number of defective items per sample, is often assumed to have
a marginal binomial distribution. The integer and asymmetrical nature of this distribution and …

In this work we study one-sided and two-sided EWMA and Double EWMA control charts for
monitoring an integer-valued autocorrelated process with a bounded support. The …

Geometrically distributed counts arise in the industry. Ideally, they should be monitored
using a control chart whose average run length (ARL) function achieves a maximum when …

The first-order integer-valued autoregressive (AR (1)) binomial process proposed by Al-Osh
and Alzaid (Commun Statist Stochas Models 7: 261–282, 1991) can be used to model, for …