On the joint distribution of Grubbs' statistics

  • Tea-Yuan Hwang
  • Chin-Yuan Hu
Order Statistics


In this paper, the joint pdf's of Grubbs' statistics for normal and exponential populations are obtained; and relationship between the two pdf's is established. New formulations of the first marginal pdf of Grubbs' statistics for these two populations are given; the formulation of the exponential population case is a new one. Iterative formulas for the pdf of Grubbs' statistics are also obtained.

Key words and phrases

Exponential distribution Grubbs' statistics normal distribution 


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Copyright information

© The Institute of Statistical Mathematics 1994

Authors and Affiliations

  • Tea-Yuan Hwang
    • 1
  • Chin-Yuan Hu
    • 2
  1. 1.Institute of StatisticsNational Tsing Hua UniversityHsinchuTaiwan, R.O.C.
  2. 2.Department of Business EducationNational Changhua University of EducationChanghuaTaiwan, R.O.C.

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