Academic Journal

Identifying the time of step change in process parameter for Maxwell distribution.

Bibliographic Details
Title: Identifying the time of step change in process parameter for Maxwell distribution.
Authors: Kapase, Rupali A.1 (AUTHOR), Ghute, Vikas B.1 (AUTHOR) vbghute_stats@rediffmail.com
Superior Title: Journal of Statistical Computation & Simulation. May2024, Vol. 94 Issue 7, p1631-1644. 14p.
Subject Terms: *QUALITY control charts, MAXWELL-Boltzmann distribution law, MAXIMUM likelihood statistics, SKEWNESS (Probability theory), TIME perception
Abstract: Due to the quick identification of the root causes for an out-of-control process, the estimation of exact time of a process change would be helpful thing for the process improvement. In contrast to the typical normal assumption, this study realizes that a process may follow a skewed Maxwell distribution. In this paper, using maximum likelihood estimation, a considerably efficient change point model is proposed for $ V $ V control chart which underlying distribution is Maxwell distribution. The required chart statistics are calculated with its distributional properties. The proposed method is used when $ V $ V control chart signals a change in a process parameter. The proposed method, when used with $ V $ V control chart would be helpful for process engineers both in controlling and identifying a permanent step change in a process scale parameter. An illustrative example is given to understand the use of the proposed method. [ABSTRACT FROM AUTHOR]
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Database: Business Source Premier
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