On a class of c-sample weighted rank-sum tests for location and scale

  • P. K. Sen
  • Z. Govindarajulu


A class of c-sample (cε2) non-parametric tests for the homogeneity of location or scale parameters is proposed and their various properties studied. These tests are based on a family of congruent interquantile numbers, and may be regarded as the c-sample extension of a class of two sample tests, proposed and studied by Sen [15]. A useful theorem on the asymptotic distribution of the proposed class of statistics is established. With the aid of this result, the asymptotic power-efficiency of the proposed class of test is studied and comparison is made with other test procedures. Location-free scale tests are also considered.


Asymptotic Normality Asymptotic Efficiency Scale Alternative Joint Probability Function Joint Characteristic Function 


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Copyright information

© Institute of Statistical Mathematics 1966

Authors and Affiliations

  • P. K. Sen
    • 1
    • 2
  • Z. Govindarajulu
    • 1
    • 2
  1. 1.Calcutta UniversityIndia
  2. 2.Case Institute of TechnologyUSA

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