Skip to main content
SpringerLink
Log in

Stability of characterization of Weibull distribution

  • Notes
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

If assumptions of the theorem are satisfied not exactly but only approximately, then may we state that the conclusion of the theorem is also fulfilled approximately? Theorems, in which the problems of this kind are considered, are called stability theorems. The present paper presents some comments on characterization of the Weibull distribution by the lack of memory property and stability estimation in this characterization.

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

Access this article

Log in via an institution

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

  1. Wang YH (1976) A functional equation and its application to the characterization of the Weibull and stable distribution. J. Appl. Prob.13, 385–391

    Article  Google Scholar 

  2. Eaton ML (1966) Characterization of distributions by identical distribution of linear forms. J. Appl. Prob.3, 481–494

    Article  MATH  MathSciNet  Google Scholar 

  3. Marsaglia G, Tubilla A (1975) A note on the “lack of memory” property of the exponential distribution. Ann. Prob.3, 353–354

    MATH  MathSciNet  Google Scholar 

  4. Yanushkevichiene O (1984) Estimate of the stability of a characterization of the exponential law. Theory Probab. Appl.29 (2), 281–292

    Article  MathSciNet  Google Scholar 

  5. Azlarov TA, Volodin NA (1982) Characterization Problems Connected with the Exponential Distribution. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  6. Yanushkevichius R (1991) Stability of Characterizations of Probability Distributions [in Russian]. Mokslas, Vilnius

    Google Scholar 

  7. Yanushkevichius R (1988) Convolution equations in problems of the stability of characterizations of probability laws. Theory Probab. Appl.33 (4), 668–681

    Article  MathSciNet  Google Scholar 

  8. Klebanov L (1980) Some results connected with a characterization of the exponential distribution. Theory Probab. Appl.25 (3), 617–622

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Vilnius Pedagogical University, Studentu 39, LT-2004, Vilnius

    Yanushkevichius Romanas & Yanushkevichiene Olga

  2. Institute of Mathematics and Informatics, Akademijos 4, LT-2021, Vilnius

    Yanushkevichius Romanas & Yanushkevichiene Olga

Authors
  1. Yanushkevichius Romanas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yanushkevichiene Olga
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romanas, Y., Olga, Y. Stability of characterization of Weibull distribution. Statistical Papers 46, 459–468 (2005). https://doi.org/10.1007/BF02762845

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762845

Key words

AMS 2000 subject classification

Search

Navigation