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Statistical Power Function of Average Control Charts for Non-Normal Data

J.R.Singh 1 , U. Mishra2

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-8 , Page no. 899-901, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i8.899901

Online published on Aug 31, 2018

Copyright © J.R.Singh, U. Mishra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: J.R.Singh, U. Mishra, “Statistical Power Function of Average Control Charts for Non-Normal Data,” International Journal of Computer Sciences and Engineering, Vol.6, Issue.8, pp.899-901, 2018.

MLA Style Citation: J.R.Singh, U. Mishra "Statistical Power Function of Average Control Charts for Non-Normal Data." International Journal of Computer Sciences and Engineering 6.8 (2018): 899-901.

APA Style Citation: J.R.Singh, U. Mishra, (2018). Statistical Power Function of Average Control Charts for Non-Normal Data. International Journal of Computer Sciences and Engineering, 6(8), 899-901.

BibTex Style Citation:
@article{Mishra_2018,
author = {J.R.Singh, U. Mishra},
title = {Statistical Power Function of Average Control Charts for Non-Normal Data},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {8 2018},
volume = {6},
Issue = {8},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {899-901},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=2792},
doi = {https://doi.org/10.26438/ijcse/v6i8.899901}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i8.899901}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=2792
TI - Statistical Power Function of Average Control Charts for Non-Normal Data
T2 - International Journal of Computer Sciences and Engineering
AU - J.R.Singh, U. Mishra
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 899-901
IS - 8
VL - 6
SN - 2347-2693
ER -

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Abstract

A mathematical investigation has been made to examine in what way the power function of the usual control chart for mean based on the assumption of normality is affected when the characteristics of an item possesses a non-normal distribution specified by the first four terms of an Edgeworth series. Power functions for known standard deviation have been considered and expressions giving corrections due to parental skewness and kurtosis have been obtained in addition to the normal theory expression.

Key-Words / Index Term

Average Control Chart, Power Function, Non-Normal distribution

References

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[2]. Chou, C.Y., Chen, C.H., Liu, H.R. and Wang, P.H. (2000). Statistically Minimum-loss Design of Averages Control Charts for Non-normal Data, Proc. Natl. Sci. Counc. ROC(A), 24(6), 472-479.
[3]. Doclos, E., Pillet, M. and Avrillon, L. (2005). The L-Chart for Non-Normal Process, Quality Technology & Quantitative Management, 2(1), 77-90.
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[5]. Singh, J.R. and Mishra, U. (2017). Power of Control Chart for Singly Truncated Binomial Distribution under Inspection Error, Global and Stochastic Analysis, Special Issue: 25th International Conference of Forum for Interdisciplinary Mathematics.
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