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A two sample nonparametric test for variability via empirical likelihood methods

Author

Listed:
  • Lisa Parveen

    (Indian Institute of Engineering Science and Technology, Shibpur)

  • Ruhul Ali Khan

    (University of Arizona)

  • Murari Mitra

    (Indian Institute of Engineering Science and Technology, Shibpur)

Abstract

Comparison of variability or dispersion of two distributions is the major focus of this work. To this end, we consider a two sample testing problem for detecting dominance in dispersive order and develop a test based on U-statistic approach. We also explore a link between the two measures of variability, viz. dispersive order and Gini’s mean difference (GMD). We exploit methodologies based on jackknife empirical likelihood (JEL) and adjusted JEL in order to overcome certain practical difficulties. The performance of the proposed test is assessed by means of a simulation study. Finally, we apply our test in the context of several real life situations including medical studies and insurance data.

Suggested Citation

  • Lisa Parveen & Ruhul Ali Khan & Murari Mitra, 2024. "A two sample nonparametric test for variability via empirical likelihood methods," Statistical Papers, Springer, vol. 65(7), pages 4243-4265, September.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:7:d:10.1007_s00362-024-01555-z
    DOI: 10.1007/s00362-024-01555-z
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