IDEAS home Printed from https://ideas.repec.org/a/taf/gnstxx/v21y2009i4p471-485.html
   My bibliography  Save this article

A unified approach to variations of ranked set sampling with applications

Author

Listed:
  • Kaushik Ghosh
  • Ram Tiwari

Abstract

In this article, we develop a general theory of inference using data collected from different variations of ranked set sampling. Such variations include balanced and unbalanced ranked set sampling, balanced and unbalanced k-tuple ranked set sampling, nomination sampling, simple random sampling, as well as a combination of them. We provide methods of estimating the underlying distribution function as well as its functionals and establish the asymptotic properties of the resulting estimators. The results so obtained can be used to develop nonparametric procedures for one- and two-sample problems. Some investigation of the small-sample properties of these estimators is also provided. We conclude with an application to a real-life example.

Suggested Citation

  • Kaushik Ghosh & Ram Tiwari, 2009. "A unified approach to variations of ranked set sampling with applications," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(4), pages 471-485.
    • Handle: RePEc:taf:gnstxx:v:21:y:2009:i:4:p:471-485
    DOI: 10.1080/10485250802652077
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/10485250802652077
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/10485250802652077?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. You-Gan Wang & Zehua Chen & Jianbin Liu, 2004. "General Ranked Set Sampling with Cost Considerations," Biometrics, The International Biometric Society, vol. 60(2), pages 556-561, June.
    2. Ramzi W. Nahhas & Douglas A. Wolfe & Haiying Chen, 2002. "Ranked Set Sampling: Cost and Optimal Set Size," Biometrics, The International Biometric Society, vol. 58(4), pages 964-971, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mohammad Nourmohammadi & Mohammad Jafari Jozani & Brad C. Johnson, 2020. "Parametric Inference Using Nomination Sampling with an Application to Mercury Contamination in Fish," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 115-146, February.
    2. Xinlei Wang & Ke Wang & Johan Lim, 2012. "Isotonized CDF Estimation from Judgment Poststratification Data with Empty Strata," Biometrics, The International Biometric Society, vol. 68(1), pages 194-202, March.

    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. Zehua Chen & You-Gan Wang, 2004. "Efficient Regression Analysis with Ranked-Set Sampling," Biometrics, The International Biometric Society, vol. 60(4), pages 997-1004, December.
    2. Haiying Chen & Elizabeth A. Stasny & Douglas A. Wolfe, 2006. "Unbalanced Ranked Set Sampling for Estimating a Population Proportion," Biometrics, The International Biometric Society, vol. 62(1), pages 150-158, March.
    3. Kiatsupaibul, Seksan & J. Hayter, Anthony & Liu, Wei, 2017. "Rank constrained distribution and moment computations," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 229-242.
    4. You-Gan Wang & Zehua Chen & Jianbin Liu, 2004. "General Ranked Set Sampling with Cost Considerations," Biometrics, The International Biometric Society, vol. 60(2), pages 556-561, June.
    5. Steven N. MacEachern & Elizabeth A. Stasny & Douglas A. Wolfe, 2004. "Judgement Post-Stratification with Imprecise Rankings," Biometrics, The International Biometric Society, vol. 60(1), pages 207-215, March.
    6. Wang, You-Gan & Zhu, Min, 2005. "Optimal sign tests for data from ranked set samples," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 13-22, April.

    More about this item

    Statistics

    Access and download statistics

    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:taf:gnstxx:v:21:y:2009:i:4:p:471-485. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/GNST20 .

    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.