Weibull-Exponential Distribution and Its Application in Monitoring Industrial Process

Muhammad Bilal, Muhammad Mohsin, Muhammad Aslam and Hussein Abulkasim

Mathematical Problems in Engineering, 2021, vol. 2021, 1-13

Abstract: This paper presents a new Weibull family of distributions. The compatibility of the newly developed class is justified through its application in the field of quality control using Weibull-exponential distribution, a special case of the proposed family. In this paper, an attribute control chart using Weibull-exponential distribution is developed. The estimations of the model parameters and the proposed chart parameters are performed through the methods of maximum likelihood and average run-length. The significance of the proposed model is demonstrated using a simulation study and real-life problems. The results of the monitoring process and quick detection are compared with exponential distribution.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6650237

DOI: 10.1155/2021/6650237

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