Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지

Some Partial Orderings of Life Distributions

  • Jeen-Kap Choi (Department of Statistics, Kyungpook National University, Taegu, 702-701, KOREA) ;
  • Kil-Ho Cho (Department of Statistics, Kyungpook National University, Taegu, 702-701, KOREA) ;
  • Sang-Lyong Kim (Department of Statistics, Kyungpook National University, Taegu, 702-701, KOREA)
  • Published : 1995.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

The concept of positive ageing describes the adverse effects of age on the lifetime of units. Various aspects of this concept are described in terms of conditional probability distribution of residual life times, failure rates, equilibrium distributions, etc. In this paper, we will consider some partial ordering relations of life distributions under residual life functions and equilibrium distributions. Under residual life distributions, we study the relationships of IFR, NBU and NBUFR classes and that of DMRL and NBUE classes, By using WLR ordering comparison between F and its equilibrium $H_F$, we can decide if F belongs to NBUFR class.

Keywords

References

  1. Statistical Theory of Relibility and Life Testing Probability Models Barlow,R.E.;Proschan,F.
  2. Journal of American Statistical Association v.64 Some Criteria for Aging Bryson,M.C.;Siddiqui,M.M.
  3. Journal of Applied Probability v.23 Aspects of Positive Ageing Deshpande,J.V.;Kochar,S.C.;Singh,H.
  4. Communications in Statistics - Statistics Models v.6 no.3 Some Partial Orders Describing Positive Ageing Deshpande,J.V.;Singh,H.;Bagai,I.;Jain,K.
  5. Naval Research Logistics v.40 New Partial Orderings and Applications Fagiuoli,E.;pellerey,F.
  6. Journal of Statistical Planning and Inferences v.16 On the Monotonic Properties of the Residual Variance and their Applications in Reliability Gupta,R.C.
  7. Communications in Statistics - Statistics Models v.3 no.1 On Order Relations Between Reliability Measures Gupta,R.C.;Kirmani,S.N.U.A.
  8. Communications in Statistics - Theory and Methods v.19 no.9 The Role of Weighted Distribution in Stochastic Modeling Gupta,R.C.;Kirmani,S.N.U.A.
  9. Naval Research Logistics v.34 Partial Ordering of Life Distributions with Respect to their Ageing Properties Kochar,S.C.;Wiens,D.P.
  10. Stochastic Processes Ross,S.M.
  11. Naval Research Logistics v.36 On Partial Ordering of Life Distribution Singh,H.
  12. Scandinavian Journal of Statistics v.12 On some New Ageing Properties Singh,H.;Despande,J.V.