Süreç ortalamasının izlenmesi için sıra istatistiklerine dayalı kalite kontrol kartları

Nejla Turhan; Sevgi Yurt Öncel

Research Article

Quality control cards based on order statistics to monitoring process average

Year 2019, Volume: 12 Issue: 2, 72 - 89, 30.12.2019

Nejla Turhan Sevgi Yurt Öncel

Abstract

Keywords

Distribution-free quality control, control charts, median control charts, order statistics, precedence statistics

References

1. Bakir, S. T., Reynolds, M. R. Jr. ,1979, A Nonparametric procedure for process control based on within-group rankin”, Technometrics, 21, 75- 183.
2. Balakrishnan, N., Triantafyllou, I. S., Koutras, M. V. , 2009, Nonparametric control charts based on runs and Wilcoxon-type rank-sum statistics, Journal of Statistical Planning and Inference, 139(9), 3177-3192.
3. Balakrishnan, N., Triantafyllou, I. S., Koutras, M. V., A, , 2010 distribution-free control chart based on order statistics. Communications in Statistics—Theory and Methods, 39 (20).
4. Chakraborti, S., 2000, Run length, average run length and false alarm rate of Shewhart X-bar chart:exact derivations by conditioning, Communications in Statistics-Simulation and Computation, 29,61-81.
5. Chakraborti,S., Van der Laan, P. Bakir, S. T., 2001 Nonparametric control charts: an overview and some results, Journal of Quality Technology, 33(3), pp.304- 315.
6. Chakraborti, S., Van der Laan, P., & Van de Wiel, M. A., 2004 , A class of distribution‐free control charts. Journal of the Royal Statistical Society: Series C (Applied Statistics), 53(3), 443-462.
7. Janacek, G. J., Meikle, S. E. , 1997,Control charts based on medians, The Statistician, 46.
8. Montgomery, D. C., 2013, Introduction to Statistical Quality Control, 7th ed., John Wiley, &Sons, Inc.
9. Minitab Statisticsl Software, Data Analysis, Statistical & Process Improvement Tools, State College, PA https://www.minitab.com/en-us/products/minitab/free-trial, 2019.
10. R Core Team.: R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria. 2019. https://www.R-project.org/
11. Shewhart, W. A. , Quality control charts. Bell System Technical Journal 593-603, 2019.
12. Triantafyllou, I. S., Nonparametric control charts based on order statistics: Some advances. Communications in Statistics-Simulation and Computation, 47(9), 2684-2702, 2018a.
13. Triantafyllou, I. S. , A new distribution-free control scheme based on order statistics. Journal of Nonparametric Statistics, 1-30, 2018b.

Süreç ortalamasının izlenmesi için sıra istatistiklerine dayalı kalite kontrol kartları

Year 2019, Volume: 12 Issue: 2, 72 - 89, 30.12.2019

Nejla Turhan Sevgi Yurt Öncel

Abstract

Bu çalışmada, herhangi
bir dağılım varsayımı olmadan sıra istatistiklerine dayalı kalite kontrol kartı
limitlerinin belirlenmesi konusu ele alınmıştır. Dağılımdan bağımsız kontrol
kartları, çarpık ya da ağır kuyruklu dağılımlar için sağlam bir yöntemdir. Ayrıca,
çizilecek kontrol kartı için kitle dağılımının varyansını bilmeye ya da tahmin etmeye
gerek yoktur. Uygulamada, farklı örnek hacimleri için dağılımdan bağımsız
kontrol limitleri, yanlış alarm oranı ve ortalama çalışma uzunluğu
hesaplanmıştır. Shewhart kontrol kartı
ve medyan kontol kartı grafiğinin çizimi hakkında bir uygulama yapılmıştır.

Keywords

Dağılımdan bağımsız kalite kontrol, kontrol kartı, medyan kontrol kartı, sıra istatistikleri, ön istatistikler

References

1. Bakir, S. T., Reynolds, M. R. Jr. ,1979, A Nonparametric procedure for process control based on within-group rankin”, Technometrics, 21, 75- 183.
2. Balakrishnan, N., Triantafyllou, I. S., Koutras, M. V. , 2009, Nonparametric control charts based on runs and Wilcoxon-type rank-sum statistics, Journal of Statistical Planning and Inference, 139(9), 3177-3192.
3. Balakrishnan, N., Triantafyllou, I. S., Koutras, M. V., A, , 2010 distribution-free control chart based on order statistics. Communications in Statistics—Theory and Methods, 39 (20).
4. Chakraborti, S., 2000, Run length, average run length and false alarm rate of Shewhart X-bar chart:exact derivations by conditioning, Communications in Statistics-Simulation and Computation, 29,61-81.
5. Chakraborti,S., Van der Laan, P. Bakir, S. T., 2001 Nonparametric control charts: an overview and some results, Journal of Quality Technology, 33(3), pp.304- 315.
6. Chakraborti, S., Van der Laan, P., & Van de Wiel, M. A., 2004 , A class of distribution‐free control charts. Journal of the Royal Statistical Society: Series C (Applied Statistics), 53(3), 443-462.
7. Janacek, G. J., Meikle, S. E. , 1997,Control charts based on medians, The Statistician, 46.
8. Montgomery, D. C., 2013, Introduction to Statistical Quality Control, 7th ed., John Wiley, &Sons, Inc.
9. Minitab Statisticsl Software, Data Analysis, Statistical & Process Improvement Tools, State College, PA https://www.minitab.com/en-us/products/minitab/free-trial, 2019.
10. R Core Team.: R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria. 2019. https://www.R-project.org/
11. Shewhart, W. A. , Quality control charts. Bell System Technical Journal 593-603, 2019.
12. Triantafyllou, I. S., Nonparametric control charts based on order statistics: Some advances. Communications in Statistics-Simulation and Computation, 47(9), 2684-2702, 2018a.
13. Triantafyllou, I. S. , A new distribution-free control scheme based on order statistics. Journal of Nonparametric Statistics, 1-30, 2018b.

There are 13 citations in total.

Details

Primary Language	Turkish
Subjects	Engineering
Journal Section	Articles
Authors	Nejla Turhan 0000-0003-1557-3314 Sevgi Yurt Öncel 0000-0002-0990-292X
Publication Date	December 30, 2019
Published in Issue	Year 2019 Volume: 12 Issue: 2

Cite

IEEE	N. Turhan and S. Yurt Öncel, “Süreç ortalamasının izlenmesi için sıra istatistiklerine dayalı kalite kontrol kartları”, JSSA, vol. 12, no. 2, pp. 72–89, 2019.