Banca de DEFESA: LUCAS DE OLIVEIRA FERREIRA DE SALES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : LUCAS DE OLIVEIRA FERREIRA DE SALES
DATE: 19/02/2020
TIME: 14:00
LOCAL: Auditório do CCET
TITLE:

Control charts for monitoring symmetric and log-symmetric data

KEY WORDS:

Control Chart; Log-symmetric class of distribution; Monitoring of the mean; Monitoring of the median; Symmetric class of distribution

PAGES: 80
BIG AREA: Ciências Exatas e da Terra
AREA: Probabilidade e Estatística
SUBÁREA: Estatística
SUMMARY:

Since the industrial revolution to the present day it is in the [UTF-8?]industry’s interest to monitor the quality of their products, aiming at good quality product, good operation on the production line and profitable production. In this context, control charts are the main tools used for monitoring a particular quality characteristic. Usually the monitored characteristic is the process mean and the most used control chart for such monitoring are: X of Shewhart, CUSUM and EWMA, which are based on two assumptions: independence between monitored samples and that monitored variable follow a normal distribution. However, breaking any of these assumptions implies in a poor control chart performance. Considering this, the present work propose a control chart, for the monitoring of the mean, based on the bootstrap method for non-normal data that follows a distribution that belong to the symmetric class of distributions. In addition, a monitoring method will be proposed for the median (which in case of asymmetric data is more informative than the mean) for data that belong to the log-symmetric class of distributions, based on the asymptotic distribution of three new median estimators proposed by Balakrishnan et al. (2017). Additionally, simulation studies were performed for the proposed control chart for monitoring the mean, in order to evaluate the in-control and the out-control average run length (ARL) and to evaluate the behavior of the control limits. For the conclusion of this work, a simulation study will be conducted to evaluate the in-control and the out-control ARL and to evaluate the behavior of the control limits for the proposed method of monitoring the median of the log-symmetric class. In addition, the work will be completed with an application for each of the two propose methods to illustrate their applicability in a real situation.

BANKING MEMBERS:
Presidente - 1217007 - ANDRE LUIS SANTOS DE PINHO
Interna - 1218831 - CARLA ALMEIDA VIVACQUA
Externa à Instituição - LINDA LEE HO - USP