Skip to main content
Log in

On characterizing the exponential distribution by order statistics

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. B. Epstein and M. Sobel, “Life testing,”J. Amer. Statist. Ass., 48 (1954), 486–501.

    Article  MathSciNet  MATH  Google Scholar 

  2. B. Epstein and M. Sobel, “Some theorems relevant to life testing from an exponential distribution,”Ann. Math. Statist., 25 (1954), 373–381.

    Article  MathSciNet  MATH  Google Scholar 

  3. T. S. Ferguson, “A characterization of the exponential distribution,”Ann. Math. Statist., 35 (1964), 1199–1207.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Fisz, “Characterization of some probability distribution,”Skand. Aktuarietidskrift, 41 (1958), 65–67.

    MathSciNet  MATH  Google Scholar 

  5. E. S. Pearson, Personal communication.

  6. P. R. Rider, “Quasi-ranges of samples from an exponential distribution,”Ann. Math. Statist., 30 (1959), 252–254.

    Article  MathSciNet  MATH  Google Scholar 

  7. E. A. Tanis, “Linear forms in the order statistics from an exponential distribution,”Ann. Math. Statist., 35 (1964), 270–276.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Additional information

This research has been supported in part by the National Science Foundation under Grant No. G-19126 at the University of Minnesota.

About this article

Cite this article

Basu, A.P. On characterizing the exponential distribution by order statistics. Ann Inst Stat Math 17, 93–96 (1965). https://doi.org/10.1007/BF02868158

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868158

Keywords

Navigation