IJIRST (International Journal for Innovative Research in Science & Technology)ISSN (online) : 2349-6010

 International Journal for Innovative Research in Science & Technology

Construction of Control Charts for Some Circular Distributions


Print Email Cite
International Journal for Innovative Research in Science & Technology
Volume 5 Issue - 1
Year of Publication : 2018
Authors : P. Srinivasa Subrahmanyam ; A. V. Dattatreya Rao

BibTeX:

@article{IJIRSTV5I1020,
     title={Construction of Control Charts for Some Circular Distributions},
     author={P. Srinivasa Subrahmanyam and A. V. Dattatreya Rao},
     journal={International Journal for Innovative Research in Science & Technology},
     volume={5},
     number={1},
     pages={49--59},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV5I1020.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}



Abstract:

Quality is one of the most essential characteristics of any product. Monitoring and controlling quality is a continuous process. Statistical Process Control (SPC) is a quality control technique using statistical methods for monitoring and controlling the quality. Control charts are one of the most important tools of SPC. Laha and Gupta (2011) applied the concept of control charts to circular distributions such as Von mises, Wrapped Cauchy, Wrapped Normal and Cardioid distributions. Taking a cue from this work, an attempt has been made in this paper to extend this concept of control charts to two circular distribution developed by Srinivasa Subrahmanyam et al (2017), namely the Wrapped Exponential Inverted Weibull distribution (WEIWD) and Wrapped New Weibull Pareto Distribution(WNWPD). For these two distributions, the control charts at different sets of values of parameters are constructed, the theoretical values for Central Ray (CR), Anticlockwise Control Ray (ACR) and Clockwise Control Ray (CCR) angles are obtained, the acceptance region and rejection region at the theoretical values are identified and the expansion and contraction of the acceptance region with respect to change in parameter values are studied. The estimates for CR, ACR and CCR angles and their respective circular variances are computed and the impact of simulation size and sample size on the ACR and CCR angles and their circular variances are studied. Also, an effort has been made to figure out a reasonable simulation size as well as sample size for finding estimate values for CR, ACR and CCR angles in respect of these two circular distributions.


Keywords:

Circular Statistics, Wrapping, Exponentiated Inverted Weibull, New Weibull Pareto, Quality control, Control Charts


Download Article