A wavelet approach for profile monitoring of Poisson distribution with application
Author | Piri, Sepehr |
Author | Abdel-Salam, Abdel-Salam G. |
Author | Boone, Edward L. |
Available date | 2020-06-23T20:45:39Z |
Publication Date | 2019 |
Publication Name | Communications in Statistics: Simulation and Computation |
Resource | Scopus |
ISSN | 3610918 |
Abstract | Profile monitoring is defined as the act of utilizing regression and quality control techniques to monitor the functional relationship between a response variable and one or more regressors. Most of the previous studies focused either on parametric modeling of profiles or assumed the response variable followed a normal distribution, but that is an unrealistic scenario in most cases. In this study, a Haar wavelet approach is applied for profile monitoring of Poisson data. We showed via simulation that, Haar wavelet can outperform parametric models when there is a sudden jump in the profile and concluded with a case study. - 2019, - 2019 Taylor & Francis Group, LLC. |
Language | en |
Publisher | Taylor and Francis Inc. |
Subject | Haar Wavelet Nonparametric Regression Poisson Profile Monitoring Quality Control |
Type | Article |
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Mathematics, Statistics & Physics [726 items ]