Fernández, Luz Milena ZeaCiríaco, Beatriz Ariadna da Silva2021-09-222021-09-222021-09-09CIRÍACO, Beatriz Ariadna da Silva. Gráfico de controle X-barra de Shewhart para o processo Borel INAR(1) e um estudo de seu desempenho. 2021. 55f. Trabalho de Conclusão de Curso (Graduação em Estatística) - Departamento de Estatística, Universidade Federal do Rio Grande do Norte, Natal, 2021.https://repositorio.ufrn.br/handle/123456789/37954In order to study statistical process control, it is of interest to establish information about its behavior using a tool, such as the control charts, that enables the possibility to verify the stability of a certain metric of quality. However, the process of building a usual control chart requires the assumption that the samples are independent, in this case, we must make the necessary changes to this tool. Integer valued time series models along with control charts are used to monitor integer-valued autocorrelated processes. In this paper, we studied the performance of the X-bar control chart, also known as Shewhart's chart, in the context of a first-order integer-valued autoregressive model with innovations of the Borel distribution, known as Borel INAR(1). The performance of the X-bar control chart is analyzed using Monte Carlo simulations, to estimate the in-control average run length ARL0 and the out-of-control average run length ARL1. Finally, we present two integer-valued datasets that can be fitted to the Borel INAR(1) process, we also construct their control charts.Controle Estatístico de ProcessosStatistical Process ControlÍndice de dispersãoInteger Valued Time SeriesSéries Temporais de Valores InteirosIndex of DispersionProcessos AutocorrelacionadosAutocorrelated ProcessesbachelorThesis