Control theory for skewed distribution under operation side of the telecommunication industry and hard-bake process in the semiconductor manufacturing process

Author:

Zaka Azam1,Jabeen Riffat2ORCID,Ahmad Mashhood2,Aljohani Hassan M3,Helmi Maha M3

Affiliation:

1. Department of Statistics, Government Graduate College of Science, Lahore, Pakistan

2. Department of Statistics, COMSATS University of Islamabad, Lahore Campus, Lahore, Pakistan

3. Department of Mathematics & Statistics, College of Science, Taif University, Taif, Saudi Arabia

Abstract

Statistical process control basically involves inspecting a random sample of the output from a process and deciding whether the process is producing products with characteristics that fall within a predetermined range. It is used extensively in the field of reliability engineering. The reliability of the production process is thoroughly monitored for any internal variation using the SPC. The aim is always to settle such variations through a proper control monitoring. If the underlying distribution of the process is known to the researcher than the use of parametric control charts are useful but in many cases when there is doubt about the distribution of the process then it is preferred to use non parametric control charts. In this paper we propose the modified Exponentially weighted moving average (EWMA), Double Exponentially weighted moving average (DEWMA), Hybrid Exponentially weighted moving average (HEWMA), Extended Exponentially weighted moving average (EEWMA), Modified Exponentially weighted moving average (MEWMA) and mix- type control charts by mixing these control charts with Tukey control chart EWMA-TCC, DEWMA-TCC, HEWMA-TCC, EEWMA-TCC, MEWMA-TCC for the shape parameter of the Kumaraswamy Lehmann-2 Power function distribution (KL2PFD).

Publisher

SAGE Publications

Subject

Applied Mathematics,Control and Optimization,Instrumentation

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