IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v129y2017icp340-347.html
   My bibliography  Save this article

A new bivariate semiparametric control chart based on order statistics and concomitants

Author

Listed:
  • Koutras, M.V.
  • Sofikitou, E.M.

Abstract

A bivariate semiparametric chart is introduced, which exploits order statistics and concomitants to detect potential shifts in the underlying distribution. The new chart outperforms its counterparts, especially when asymmetric limits are used.

Suggested Citation

  • Koutras, M.V. & Sofikitou, E.M., 2017. "A new bivariate semiparametric control chart based on order statistics and concomitants," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 340-347.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:340-347
    DOI: 10.1016/j.spl.2017.06.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715217302195
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2017.06.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. EryIlmaz, S. & Bairamov, I. G., 2003. "On a new sample rank of an order statistics and its concomitant," Statistics & Probability Letters, Elsevier, vol. 63(2), pages 123-131, June.
    2. Serkan Eryilmaz, 2016. "On an application of concomitants of order statistics," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(19), pages 5628-5636, October.
    3. Z. Abo-Eleneen & H. Nagaraja, 2002. "Fisher Information in an Order Statistic and its Concomitant," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(3), pages 667-680, September.
    4. Wang, Ke & Nagaraja, H.N., 2009. "Concomitants of order statistics for dependent samples," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 553-558, February.
    5. S. Chakraborti & P. van der Laan & M. A. van de Wiel, 2004. "A class of distribution‐free control charts," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(3), pages 443-462, August.
    6. Qiu, Peihua & Li, Zhonghua, 2011. "Distribution-free monitoring of univariate processes," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1833-1840.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Willem Albers & Wilbert C. M. Kallenberg, 2009. "Normal control charts with nonparametric safeguard," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(1), pages 63-81, February.
    2. Manoj Chacko, 2017. "Bayesian estimation based on ranked set sample from Morgenstern type bivariate exponential distribution when ranking is imperfect," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(3), pages 333-349, April.
    3. Nikolaos I. Panayiotou & Ioannis S. Triantafyllou, 2023. "A Class of Enhanced Nonparametric Control Schemes Based on Order Statistics and Runs," Stats, MDPI, vol. 6(1), pages 1-14, February.
    4. M. A. Graham & S. W. Human & S. Chakraborti, 2010. "A Phase I nonparametric Shewhart-type control chart based on the median," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1795-1813.
    5. Graham, M.A. & Mukherjee, A. & Chakraborti, S., 2012. "Distribution-free exponentially weighted moving average control charts for monitoring unknown location," Computational Statistics & Data Analysis, Elsevier, vol. 56(8), pages 2539-2561.
    6. Amini, Morteza & Ahmadi, J., 2007. "Fisher information in record values and their concomitants about dependence and correlation parameters," Statistics & Probability Letters, Elsevier, vol. 77(10), pages 964-972, June.
    7. Sotiris Bersimis & Kostas Triantafyllopoulos, 2020. "Dynamic Non-parametric Monitoring of Air-Pollution," Methodology and Computing in Applied Probability, Springer, vol. 22(4), pages 1457-1479, December.
    8. Willem Albers & Wilbert Kallenberg, 2009. "CUMIN charts," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 70(1), pages 111-130, June.
    9. H. Nagaraja & Z. Abo-Eleneen, 2008. "Fisher information in order statistics and their concomitants in bivariate censored samples," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(3), pages 327-347, April.
    10. Modarres, Reza & Zheng, Gang, 2004. "Maximum likelihood estimation of dependence parameter using ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 315-323, July.
    11. Bairamov, Ismihan & Khaledi, Baha-Eldin & Shaked, Moshe, 2014. "Stochastic comparisons of order statistics and their concomitants," Journal of Multivariate Analysis, Elsevier, vol. 124(C), pages 105-115.
    12. EryIlmaz, Serkan, 2008. "Distribution of runs in a sequence of exchangeable multi-state trials," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1505-1513, September.
    13. Bairamov, Ismihan & EryIlmaz, Serkan, 2009. "Waiting times of exceedances in random threshold models," Statistics & Probability Letters, Elsevier, vol. 79(5), pages 676-683, March.
    14. Saber Ali & Zameer Abbas & Hafiz Zafar Nazir & Muhammad Riaz & Xingfa Zhang & Yuan Li, 2020. "On Designing Non-Parametric EWMA Sign Chart under Ranked Set Sampling Scheme with Application to Industrial Process," Mathematics, MDPI, vol. 8(9), pages 1-20, September.
    15. Lianjie Shu & Jinyu Fan, 2018. "A distribution‐free control chart for monitoring high‐dimensional processes based on interpoint distances," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(4), pages 317-330, June.
    16. Takis Papaioannou & Kosmas Ferentinos & Charalampos Tsairidis, 2007. "Some Information Theoretic Ideas Useful in Statistical Inference," Methodology and Computing in Applied Probability, Springer, vol. 9(2), pages 307-323, June.
    17. Nandini Das, 2011. "Control Charts Based on the g-and-h Distribution," Stochastics and Quality Control, De Gruyter, vol. 26(1), pages 3-14, January.
    18. Chakraborti, S. & Eryilmaz, S. & Human, S.W., 2009. "A phase II nonparametric control chart based on precedence statistics with runs-type signaling rules," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1054-1065, February.
    19. Hofmann, Glenn & Balakrishnan, N. & Ahmadi, Jafar, 2005. "Characterization of hazard function factorization by Fisher information in minima and upper record values," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 51-57, April.
    20. Song, Zhi & Mukherjee, Amitava & Liu, Yanchun & Zhang, Jiujun, 2019. "Optimizing joint location-scale monitoring – An adaptive distribution-free approach with minimal loss of information," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1019-1036.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:340-347. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.