Comparison of deviance and ridge deviance residual-based control charts for monitoring Poisson profiles


Mammadova U., Ozkale M. R.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1080/03610918.2020.1870693
  • Title of Journal : COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

Abstract

Ridge estimator is one of the solutions for the multicollinearity problem caused by the absence of independency among predictors. Since the ridge estimator depends on the ridge biasing constant, a large number of techniques were studied in the literature to find a better way of calculating the ridge biasing constant. In this paper, we compare deviance residual-based control charts to ridge deviance residual-based control charts where Shewhart, EWMA, and CUSUM type control charts are constructed. We also compare several existing techniques used to calculate the ridge biasing constant and obtain the iterative ridge estimator for monitoring Poisson profiles under multicollinearity. The performance of each control chart is evaluated by using the average run length criterion and compared through a simulation study and a real data.