A0272
Title: Control charts for the inverse Pareto percentiles under complete and middle censored data
Authors: Neeraj Joshi - Indian Institute of Technology Delhi (India) [presenting]
Aditi Chaturvedi - Sharda University (India)
Sudeep Bapat - Indian Institute of Technology Bombay (India)
Saralees Nadarajah - University of Manchester (United Kingdom)
Abstract: The aim is to develop the Shewhart-type control charts for monitoring the percentiles of an inverse Pareto distribution (IPD) using the complete and middle censored datasets. The maximum likelihood (ML) estimators of the percentile function are obtained in both cases. Furthermore, the asymptotic properties of the ML estimators are discussed, and those are used to develop the Shewhart-type control charts. A large-scale simulation analysis is performed to investigate the in-control (IC) performance of the proposed control chart schemes. This analysis is based on various criteria, such as the average run length (ARL) for different choices of percentiles, false-alarm rates (FARs), and sample sizes. The behavior of the out-of-control (OOC) performance of the proposed charts is also studied for several choices of shifts in the IPD parameter. Two real data sets are analyzed to complement the utility of the proposed control chart schemes. It is established that the proposed control charts detect the OOC signals very well.
