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Empirical process approach to some two-sample problems based on ranked set samples

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Abstract

We study the asymptotic properties of both the horizontal and vertical shift functions based on independent ranked set samples drawn from continuous distributions. Several tests derived from these shift processes are developed. We show that by using balanced ranked set samples with bigger set sizes, one can decrease the width of the confidence band and hence increase the power of these tests. These theoretical findings are validated through small-scale simulation studies. An application of the proposed techniques to a cancer mortality data set is also provided.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ, 07102, USA

    Kaushik Ghosh

  2. Statistical Research and Applications Branch, Division of Cancer Control and Population Sciences, National Cancer Institute, Suite 504, MSC 8317, 6116 Executive Blvd, Bethesda, MD, 20892-8317, USA

    Ram C. Tiwari

Authors
  1. Kaushik Ghosh
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  2. Ram C. Tiwari
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Correspondence to Kaushik Ghosh.

Additional information

Part of the research was conducted while Kaushik Ghosh was visiting Statistical Research and Applications Branch of the National Cancer Institute on an Intergovernmental Personnel Assignment.

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Ghosh, K., Tiwari, R.C. Empirical process approach to some two-sample problems based on ranked set samples. AISM 59, 757–787 (2007). https://doi.org/10.1007/s10463-006-0073-5

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  • DOI: https://doi.org/10.1007/s10463-006-0073-5

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