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Percentiles of Range Chart : Pareto Distribution

In: Other Topics

Submitted By Bhaskarprasad22
Words 1949
Pages 8
International Journal of Advances in Applied Sciences (IJAAS)
Vol. 2, No. 3, September 2013, pp. 141~144
ISSN: 2252-8814


Percentiles of Range: Pareto Type Model
R. Subba Rao1, G. Prasad2, R. R. L. Kantam3

Shri Vishnu Engineering College for Women, Bhimavaram - 534202, A.P., India
Aditya Degree College, Rajahmundry – 533103, A.P., India
Acharya Nagarjuna University, Guntur - 522510, A.P., India

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Statistical quality control relates heavily on the goodness of control chart limits. The more accurate those limits are, the more likely are to detect whether a process is in control. Various procedures have been developed to compute good control limits. This paper proposes construction of Range chart by considering a Pareto distribution of IV kind. The cumulative distribution function of sample range from their distribution is derived. The percentiles of the distribution of range are worked out and are used to construct the control limits. The performance of the control chart is compared with that of gamma based control chart. Interval estimation for the scale parameter is also worked out.

Received Nov 11, 2012
Revised Mar 17, 2013
Accepted Mar 28, 2013
Order Statistics
Distribution of Range
Interval estimation
Control limits

Copyright © 2013 Institute of Advanced Engineering and Science.
All rights reserved.

Corresponding Author:
R. Subba Rao,
Shri Vishnu Engineering College for Women,
Bhimavaram - 534202,
A.P., India.


Industrial statisticians are accustomed to monitoring the stability of the process output through the maintenance of control charts. Use of these control charts assumes that the process output is normally distributed or that appeal to the central limit theorem is…...

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