Skip to main content

Two characterizations using records

Part of the Lecture Notes in Mathematics book series (LNM,volume 1233)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rényi A. On outstanding values of a sequence of observations.-In: Selected Papers, Budapest, 1976, p.50–65.

    Google Scholar 

  2. Nevzorov V.B. On record times and inter-record times for sequence of nonidentically distributed random variables.-Notes of Sci. Semin. of Leningrad Branch of the Math. Inst. 142. (1985), 109–118. (in Russian)

    MathSciNet  MATH  Google Scholar 

  3. Tata M.N. On outstanding values in a sequence of random variables. Zeitschr. für Wahrsch. verw. Geb. 12, (1969), 9–20.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Ahsanullah M. Record values and the exponential distribution.-Ann. Inst.Stat.Math. 30 (1978), 429–433.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Ahsanullah M. Characterization of the exponential distribution by record values Sankhyā B41 (1979), 116–121.

    MathSciNet  Google Scholar 

  6. Ahsanullah M. On a characterization of the exponential distribution by weak homoscedasticity of record values,.-Biometr.J.23 (1981) 715–717.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Ahsanullah M. Record values of exponentially distributed random variables.-Statist. Hefte,22 (1981) 121–127

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Ahsannulah M.,Holland B. Record values and the geometric distribution.-Statist.Hefte,25 (1984), 319–327.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Dallas A.C.Record values and the exponential distribution.-J.Appl.Probab. 18 (1981), 949–951.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. Gupta R.C. Relationships between order statistics and record values and some characterization results.-J.Appl. Prob. 21 (1984), 425–430.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Kirmani S.N.U.A., Beg M.I. On characterization of distribution by expected records.-Sankhya A46 (1984), 463–465.

    MathSciNet  MATH  Google Scholar 

  12. Korwar R.M. On characterizing distributions for which the second record value has a linear regression on the first.-Sankhya, B46, (1984), 108–109.

    MathSciNet  Google Scholar 

  13. Mohan N.R., Nayak S.S. A characterization based on the equidistribution of the first two spacings of record values.-Zeitsch. für Wahrsch. verw.Geb. 60 (1982) 219–221.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Nagaraja H.N. On a characterization based on record values.-Austral. J.Statist 19 (1977), 70–73.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Nagaraja H.N. Record values and extreme value distributions.-J. Appl. Prob. 19 (1982), 233–239

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Nayak S.S. Characterizations based on record values. J. Indian Stat. Assoc.,19, 1981, 123–127.

    MathSciNet  Google Scholar 

  17. Pfeifer D. Characterizations of exponential distributions by independent nonstationary record increments.-J. APpl. Probab.19 (1982). 127–135 (Correction: 19, 906).

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. Srivastava R.C. Some characterizations of the exponential distribution based on record values.-Bull. Inst.Math.Stat 7 (1978), 283

    Google Scholar 

  19. Srivastava R.C. Two characterizations of the geometric distribution by record values.-Sankhyā, B40, 276–278.

    Google Scholar 

  20. Srivastava R.C. Some characterizations of the exponential distribution based on record values.-In: Statistical distributions in scientific work.v.4, Dordrecht, 1981, p.411–416.

    Google Scholar 

  21. Srivastava R.C. On some characterizations of the geometric distribution.-Ibid, p.349–355.

    Google Scholar 

  22. Taillie C. A note on Srivastava's characterization of the exponential distribution based on record values.-Ibid, p.417–418.

    Google Scholar 

  23. Westcott M. Characterizing the exponential distribution (Letter to editor).-J.Appl.Probab. 18 (1981), 568.

    MathSciNet  Google Scholar 

  24. Khinchin A.Ya. The works on mathematical theory of queues. Moscow, 1963 (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Nevzorov, V.B. (1987). Two characterizations using records. In: Kalashnikov, V.V., Penkov, B., Zolotarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072713

Download citation

  • DOI: https://doi.org/10.1007/BFb0072713

  • Received:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17204-8

  • Online ISBN: 978-3-540-47394-7

  • eBook Packages: Springer Book Archive