Skip to main content
Log in

Characterization of discrete distributions by conditional variance

  • Published:
METRON Aims and scope Submit manuscript

Summary

In this paper we discuss characterization of a class of discrete distributions by properties of conditional variance. These properties include relationship between variance residual life, mean life function and failure rate.

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.

Similar content being viewed by others

References

  • Afendras, G., Papadatos, N. and Papathanasiou, V. (2007) The discrete Mohr and Noll inequality with applications to variance bounds, Sankhya-A, 69,162–189.

    MathSciNet  MATH  Google Scholar 

  • Cacoullos, T. and Papathanasiou, V. (1995) A generalization of covariance identity and related characterizations, Math. Meth. Statist., 4, 106–113.

    MathSciNet  MATH  Google Scholar 

  • Cacoullos, T. and Papathanassiou, V. (1997) Characterizations of distributions by generalizations of variance bounds and simple proofs of the C.L.T., J. Statist. Plann. Inf., 63,157–171.

    Article  MATH  Google Scholar 

  • El-Arishi, S. (2005) A conditional variance characterization of some discrete probability distributions, Statist. Papers, 46, 31–45.

    Article  Google Scholar 

  • Gupta, R.C. (1987) On the monotonic properties of residual variance and their applications in reliability, J. Statist. Plann. Inf., 16, 329–335.

    Article  MATH  Google Scholar 

  • Gupta, R.C., Kirmani, S. N. U. A. and Launer, R. L. (1987) On life distributions having monotone residual variance, Probab. Engrg. Inform. Sci., 1, 299–307.

    Article  MATH  Google Scholar 

  • Gupta, R.C. and Kirmani, S. N. U. A. (2000) Residual coefficient of variation and some characterization results, J. Statist. Plann. Inf., 91, 23–31.

    Article  MathSciNet  MATH  Google Scholar 

  • Gupta, R.C. and Kirmani, S. N. U. A. (2004) Some characterization of distributions by functions of failure rates and mean residual life, Comm. Statist. Theory Methods, 33, 3115–3131.

    Article  MathSciNet  MATH  Google Scholar 

  • Hitha, N. and Nair, N. U. (1989) Characterization of some models by properties of residual life, Calcutta Statist. Assoc. Bull., 38, 219–225.

    MATH  Google Scholar 

  • Nair, N.U. and Sudheesh. K. K. (2008) Some results on lower variance bound useful in reliability and estimation, Ann. Inst. Stat. Math., 60, 591–603.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kumar Kattumannil Sudheesh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sudheesh, K.K., Nair, N.U. Characterization of discrete distributions by conditional variance. METRON 68, 77–85 (2010). https://doi.org/10.1007/BF03263525

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03263525

Key Words

Navigation