Skip to main content
Log in

A comprehensive result on stochastic comparison for parallel systems in terms of hazard rate order

  • Published:
Mathematical Methods of Statistics Aims and scope Submit manuscript

Abstract

In this paper, we investigate ordering properties of lifetimes of parallel systems consisting of two components with respect to hazard rate order. By a uniform method, we provide a relatively comprehensive sufficient condition for hazard rate ordering between the lifetimes of two parallel systems. The result established in this paper extends most results known in the literature this far.

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

  1. P. J. Boland, E. El-Neweihi, and F. Proschan, “Applications of Hazard Rate Ordering in Reliability and Order Statistics”, J. Appl. Probab. 31, 180–192 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  2. G. Da, W. Ding, and X. Li, “On hazard rate ordering of parallel systems with two independent components”, J. Statist. Plann. and Infer. 140, 2148–2154 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Dykstra, S. C. Kochar, and J. Rojo, “Stochastic Comparisons of Parallel Systems of Heterogeneous Exponential Components”, J. Statist. Plann. and Infer. 65, 203–211 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  4. S. Joo and J. Mi, “Some Properties of Hazard Rate Functions of Systems with Two Components”, J. Statist. Plann. and Infer. 140, 444–453 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  5. B. Khaledi and S. Subhash Kochar, “Some New Results on Stochastic Comparisons of Parallel Systems”, J. Appl. Probab. 37, 1123–1128 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Shaked and J. G. Shanthikumar, Stochastic Orders (Springer, New York, 2007).

    Book  MATH  Google Scholar 

  7. P. Zhao and N. Balakrishnan, “Some Characterization Results for Parallel Systems with Two Heterogeneous Exponential Components”, Statistics 45, 593–604 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  8. R. Yan, G. Da, and P. Zhao, “Further Results for Parallel Systems with Two Heterogeneous Exponential Components”, Statistics 47, 1128–1140 (2013).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Wang.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, J. A comprehensive result on stochastic comparison for parallel systems in terms of hazard rate order. Math. Meth. Stat. 24, 156–161 (2015). https://doi.org/10.3103/S1066530715020064

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066530715020064

Keywords

2000 Mathematics Subject Classification

Navigation