On a class of asymptotically optimal nonparametric tests for grouped data I

  • Malay Ghosh


Generalizing the results of Sen [8], a class of nonparametric tests for the hypothesis of no regression in the multiple linear regression model is obtained here. The asymptotic power properties of the proposed class of tests are studied, and the asymptotic optimality of the tests is established under the conditions of Wald [10]. Applications of the results are also considered.


Assumed Distribution Asymptotic Relative Efficiency Classical Central Limit Theorem Ungrouped Data True Distribution Function 
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Copyright information

© Institute of Statistical Mathematics 1973

Authors and Affiliations

  • Malay Ghosh
    • 1
    • 2
  1. 1.University of North Carolina at Chapel HillChapel HillUSA
  2. 2.Indian Statistial InstituteCulcutta

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