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Volumn 53, Issue 4, 2001, Pages 363-372

Stochastic comparisons of mixtures of convexly ordered distributions with applications in reliability theory

Author keywords

Bayesian imperfect repair; Convex mean residual life function; IFR; Increasing convex order; Mean residual life order; Mixtures; NBUE; Nonhomogeneous poisson process; Nonhomogeneous pure birth process

Indexed keywords


EID: 0035402639     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00030-X     Document Type: Article
Times cited : (17)

References (25)
  • 2
    • 0031077338 scopus 로고    scopus 로고
    • Preservation results for ordered random variables, with applications to reliability theory
    • Ahmed A.N., Soliman A.A., Khider S.E. Preservation results for ordered random variables, with applications to reliability theory. Microelectron. Reliab. 37:1997;277-287.
    • (1997) Microelectron. Reliab. , vol.37 , pp. 277-287
    • Ahmed, A.N.1    Soliman, A.A.2    Khider, S.E.3
  • 7
    • 0032342946 scopus 로고    scopus 로고
    • Comparing the variability of random variables and point processes
    • Brown M., Shanthikumar J.G. Comparing the variability of random variables and point processes. Probab. Eng. Inform. Sci. 12:1998;425-444.
    • (1998) Probab. Eng. Inform. Sci. , vol.12 , pp. 425-444
    • Brown, M.1    Shanthikumar, J.G.2
  • 8
    • 0034621127 scopus 로고    scopus 로고
    • Time stochastic s -convexity of claim processes
    • Denuit M. Time stochastic. s -convexity of claim processes Insurance Math. Econom. 26:2000;203-211.
    • (2000) Insurance Math. Econom. , vol.26 , pp. 203-211
    • Denuit, M.1
  • 9
    • 0001202825 scopus 로고    scopus 로고
    • The s -convex orders among real random variables, with applications
    • Denuit M., Lefèvre C., Shaked M. The. s -convex orders among real random variables, with applications Math. Inequal. Appl. 1:1998;585-613.
    • (1998) Math. Inequal. Appl. , vol.1 , pp. 585-613
    • Denuit, M.1    Lefèvre, C.2    Shaked, M.3
  • 10
    • 0346026484 scopus 로고    scopus 로고
    • Generalized stochastic convexity and stochastic orderings of mixtures
    • Denuit M., Lefèvre C., Utev S. Generalized stochastic convexity and stochastic orderings of mixtures. Probab. Eng. Inform. Sci. 13:1999;275-291.
    • (1999) Probab. Eng. Inform. Sci. , vol.13 , pp. 275-291
    • Denuit, M.1    Lefèvre, C.2    Utev, S.3
  • 11
    • 84989695116 scopus 로고
    • New partial orderings and applications
    • Fagiuoli E., Pellerey F. New partial orderings and applications. Naval Res. Logist. 40:1993;829-842.
    • (1993) Naval Res. Logist. , vol.40 , pp. 829-842
    • Fagiuoli, E.1    Pellerey, F.2
  • 12
    • 84974313420 scopus 로고
    • Closure and monotonicity properties of nonhomogeneous Poisson processes and record values
    • Gupta R.C., Kirmani S.N.U.A. Closure and monotonicity properties of nonhomogeneous Poisson processes and record values. Probab. Eng. Inform. Sci. 2:1988;475-484.
    • (1988) Probab. Eng. Inform. Sci. , vol.2 , pp. 475-484
    • Gupta, R.C.1    Kirmani, S.N.U.A.2
  • 13
    • 0032090786 scopus 로고    scopus 로고
    • Closure properties of some partial orderings under mixing
    • Hesselager O. Closure properties of some partial orderings under mixing. Insurance Math. Econom. 22:1998;163-170.
    • (1998) Insurance Math. Econom. , vol.22 , pp. 163-170
    • Hesselager, O.1
  • 14
    • 0000054607 scopus 로고    scopus 로고
    • Preservation of multivariate dependence under multivariate claim models
    • Hu T., Pan X. Preservation of multivariate dependence under multivariate claim models. Insurance Math. Econom. 25:1999;171-179.
    • (1999) Insurance Math. Econom. , vol.25 , pp. 171-179
    • Hu, T.1    Pan, X.2
  • 15
    • 84976032165 scopus 로고
    • Some moment inequalities for the minimal repair process
    • Kirmani S.N.U.A., Gupta R.C. Some moment inequalities for the minimal repair process. Probab. Eng. Inform. Sci. 6:1992;245-255.
    • (1992) Probab. Eng. Inform. Sci. , vol.6 , pp. 245-255
    • Kirmani, S.N.U.A.1    Gupta, R.C.2
  • 16
    • 0001513772 scopus 로고
    • The hazard and vitality measures of ageing
    • Kupka J., Loo S. The hazard and vitality measures of ageing. J. Appl. Probab. 26:1989;532-542.
    • (1989) J. Appl. Probab. , vol.26 , pp. 532-542
    • Kupka, J.1    Loo, S.2
  • 18
    • 0007263918 scopus 로고
    • Mixtures, generalized convexity and balayages
    • Lynch J. Mixtures, generalized convexity and balayages. Scand. J. Statist. 15:1988;203-210.
    • (1988) Scand. J. Statist. , vol.15 , pp. 203-210
    • Lynch, J.1
  • 19
    • 0007341498 scopus 로고    scopus 로고
    • Technical Report, Department of Statistics, Punjab University
    • Nanda, A., 1999. A note on Bayesian repair. Technical Report, Department of Statistics, Punjab University.
    • (1999) A Note on Bayesian Repair
    • Nanda, A.1
  • 22
    • 0021435011 scopus 로고
    • Some reliability applications of the variability ordering
    • Ross S.M., Schechner Z. Some reliability applications of the variability ordering. Oper. Res. 32:1984;679-687.
    • (1984) Oper. Res. , vol.32 , pp. 679-687
    • Ross, S.M.1    Schechner, Z.2
  • 23
    • 0001370422 scopus 로고
    • On the dispersion of mixtures
    • Schweder T. On the dispersion of mixtures. Scand. J. Statist. 9:1982;165-169.
    • (1982) Scand. J. Statist. , vol.9 , pp. 165-169
    • Schweder, T.1
  • 25
    • 0007263919 scopus 로고
    • The effect of variability in the GI/G/s queue
    • Whitt W. The effect of variability in the. GI/G/s queue J. Appl. Probab. 17:1980;1062-1071.
    • (1980) J. Appl. Probab. , vol.17 , pp. 1062-1071
    • Whitt, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.