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Volumn 84, Issue 1, 2003, Pages 173-189

Multivariate hazard rate orders

Author keywords

Accelerated life testing; Claim models; Farlie Gumbel Morgenstern distribution; Hazard gradient; k out n systems; Likelihood ratio order; Mixtures; Multivariate Marshall Olkin distribution; Multivariate mean residual life functions; Multivariate Pareto distribution; Preservation properties; Random environments; Scaled lifetimes; Shock models; Stochastic order; Total positivity; Upper orthant order

Indexed keywords


EID: 0037289299     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0047-259X(02)00019-2     Document Type: Review
Times cited : (35)

References (33)
  • 1
    • 0019562989 scopus 로고
    • A stochastic process approach to multivariate reliability systems: Notions based on conditional stochastic order
    • E. Arjas, A stochastic process approach to multivariate reliability systems: notions based on conditional stochastic order, Math. Oper Res. 6 (1981) 263-276.
    • (1981) Math. Oper. Res. , vol.6 , pp. 263-276
    • Arjas, E.1
  • 2
    • 38249030416 scopus 로고
    • On the multivariate mean remaining life functions
    • B.C. Arnold, H. Zahedi, On the multivariate mean remaining life functions, J. Multivariate Anal. 25 (1988) 1-9.
    • (1988) J. Multivariate Anal. , vol.25 , pp. 1-9
    • Arnold, B.C.1    Zahedi, H.2
  • 4
    • 0013464333 scopus 로고
    • Stochastic order in system reliability theory
    • M. Shaked, J.G. Shanthikumar (Eds.) Academic Press, San Diego
    • P.J. Boland, F. Proschan, Stochastic order in system reliability theory, in: M. Shaked, J.G. Shanthikumar (Eds.), Stochastic Orders and Their Applications, Academic Press, San Diego, 1994, pp. 485-508.
    • (1994) Stochastic Orders and Their Applications , pp. 485-508
    • Boland, P.J.1    Proschan, F.2
  • 5
    • 0346026484 scopus 로고    scopus 로고
    • Generalized stochastic convexity and stochastic orderings of mixtures
    • M. Denuit, C. Lefèvre, S. Utev, 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
  • 6
    • 0013530234 scopus 로고
    • Convolution of the IFRA scaled-mins class
    • E. El-Neweihi, T.H. Savits, Convolution of the IFRA scaled-mins class, Ann. Probab. 15 (1987) 423-427.
    • (1987) Ann. Probab. , vol.15 , pp. 423-427
    • El-Neweihi, E.1    Savits, T.H.2
  • 7
    • 0000925997 scopus 로고
    • A multivariate definition for increasing hazard rate distribution functions
    • R. Harris, A multivariate definition for increasing hazard rate distribution functions, Ann. Math. Statist. 41 (1970) 713-717.
    • (1970) Ann. Math. Statist. , vol.41 , pp. 713-717
    • Harris, R.1
  • 8
    • 0000054607 scopus 로고    scopus 로고
    • Preservation of multivariate dependence under multivariate claim models
    • T. Hu, X. Pan, 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
  • 9
    • 0000801417 scopus 로고
    • A general composition theorem and its applications to certain partial orderings of distributions
    • K. Joag-dev, S. Kochar, F. Proschan, A general composition theorem and its applications to certain partial orderings of distributions, Statist. Probab. Lett. 22 (1995) 111-119.
    • (1995) Statist. Probab. Lett. , vol.22 , pp. 111-119
    • Joag-dev, K.1    Kochar, S.2    Proschan, F.3
  • 11
    • 0039766073 scopus 로고
    • Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
    • S. Karlin, Y. Rinott, Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions, J. Multivariate Anal. 10 (1980) 467-498.
    • (1980) J. Multivariate Anal. , vol.10 , pp. 467-498
    • Karlin, S.1    Rinott, Y.2
  • 13
    • 0027644146 scopus 로고
    • Life testing in variably scaled environments
    • P.H. Kvam, F.J. Samaniego, Life testing in variably scaled environments, Technometrics 35 (1993) 306-314.
    • (1993) Technometrics , vol.35 , pp. 306-314
    • Kvam, P.H.1    Samaniego, F.J.2
  • 14
    • 0001066835 scopus 로고
    • Dependence by total positivity
    • M.-L.T. Lee, Dependence by total positivity, Ann. Probab. 13 (1985) 572-582.
    • (1985) Ann. Probab. , vol.13 , pp. 572-582
    • Lee, M.-L.T.1
  • 15
    • 16144367388 scopus 로고    scopus 로고
    • Linkages: A tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals
    • H. Li, M. Scarsini, M. Shaked, Linkages: a tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals, J. Multivariate Anal. 56 (1996) 20-41.
    • (1996) J. Multivariate Anal. , vol.56 , pp. 20-41
    • Li, H.1    Scarsini, M.2    Shaked, M.3
  • 16
    • 0000986245 scopus 로고
    • Some comments on the hazard gradient
    • A.W. Marshall, Some comments on the hazard gradient, Stochastic Process. Appl. 3 (1975) 293-300.
    • (1975) Stochastic Process. Appl. , vol.3 , pp. 293-300
    • Marshall, A.W.1
  • 18
    • 0000424731 scopus 로고
    • Multivariate new better than used distributions: A survey
    • A.W. Marshall, M. Shaked, Multivariate new better than used distributions: a survey, Scand. J. Statist. 13 (1986) 277-290.
    • (1986) Scand. J. Statist. , vol.13 , pp. 277-290
    • Marshall, A.W.1    Shaked, M.2
  • 19
    • 0000766309 scopus 로고
    • Systems weakened by failures
    • I. Norros, Systems weakened by failures, Stochastic Process. Appl. 20 (1985) 181-196.
    • (1985) Stochastic Process. Appl. , vol.20 , pp. 181-196
    • Norros, I.1
  • 20
    • 0013528484 scopus 로고
    • A compensator representation of multivariate life length distributions, with applications
    • I. Norros, A compensator representation of multivariate life length distributions, with applications, Scand. J. Statist. 13 (1986) 99-112.
    • (1986) Scand. J. Statist. , vol.13 , pp. 99-112
    • Norros, I.1
  • 21
    • 0035531254 scopus 로고    scopus 로고
    • A composite likelihood approach to multivariate survival data
    • E.T. Parner, A composite likelihood approach to multivariate survival data, Scand. J. Statist. 28 (2001) 295-302.
    • (2001) Scand. J. Statist. , vol.28 , pp. 295-302
    • Parner, E.T.1
  • 22
    • 0001767296 scopus 로고
    • Partial orderings under cumulative damage shock models
    • F. Pellerey, Partial orderings under cumulative damage shock models, Adv. in Appl. Probab. 25 (1993) 939-946.
    • (1993) Adv. in Appl. Probab. , vol.25 , pp. 939-946
    • Pellerey, F.1
  • 23
    • 0002392476 scopus 로고    scopus 로고
    • Stochastic comparisons for multivariate shock models
    • F. Pellerey, Stochastic comparisons for multivariate shock models, J. Multivariate Anal. 71 (1999) 42-55.
    • (1999) J. Multivariate Anal. , vol.71 , pp. 42-55
    • Pellerey, F.1
  • 24
    • 0023207463 scopus 로고
    • Ordering distributions by scaled order statistics
    • M. Scarsini, M. Shaked, Ordering distributions by scaled order statistics, Z. Oper. Res. 31 (1986) A1-A13.
    • (1986) Z. Oper. Res. , vol.31
    • Scarsini, M.1    Shaked, M.2
  • 25
    • 0001153625 scopus 로고
    • A family of concepts of dependence for bivariate distributions
    • M. Shaked, A family of concepts of dependence for bivariate distributions, J. Amer. Statist. Assoc. 72 (1977) 642-650.
    • (1977) J. Amer. Statist. Assoc. , vol.72 , pp. 642-650
    • Shaked, M.1
  • 26
    • 0000727941 scopus 로고
    • Multivariate hazard rate and stochastic ordering
    • M. Shaked, J.G. Shanthikumar, Multivariate hazard rate and stochastic ordering, Adv. in Appl. Probab. 19 (1987) 123-137.
    • (1987) Adv. in Appl. Probab. , vol.19 , pp. 123-137
    • Shaked, M.1    Shanthikumar, J.G.2
  • 27
    • 0002047586 scopus 로고
    • Multivariate stochastic orderings and positive dependence in reliability theory
    • M. Shaked, J.G. Shanthikumar, Multivariate stochastic orderings and positive dependence in reliability theory, Math. Oper. Res. 15 (1990) 545-552.
    • (1990) Math. Oper. Res. , vol.15 , pp. 545-552
    • Shaked, M.1    Shanthikumar, J.G.2
  • 30
    • 84973944225 scopus 로고
    • Preservation of stochastic orderings under random mapping by point processes
    • M. Shaked, T. Wong, Preservation of stochastic orderings under random mapping by point processes, Probab. Eng. Inform. Sci. 9 (1995) 563-580.
    • (1995) Probab. Eng. Inform. Sci. , vol.9 , pp. 563-580
    • Shaked, M.1    Wong, T.2
  • 31
    • 0013465094 scopus 로고
    • Laplace transforms for some classes of multivariate life distributions
    • S. Osaki, J. Cao (Eds.) World Scientific, Singapore
    • Y. Wang, Laplace transforms for some classes of multivariate life distributions, in: S. Osaki, J. Cao (Eds.), Reliability Theory and Applications: Proceedings of the China-Japan Reliability Symposium, World Scientific, Singapore, 1987, pp. 391-401.
    • (1987) Reliability Theory and Applications: Proceedings of the China-Japan Reliability Symposium , pp. 391-401
    • Wang, Y.1
  • 32
    • 0000166754 scopus 로고
    • Multivariate monotone likelihood ratio and uniform conditional stochastic order
    • W. Whitt, Multivariate monotone likelihood ratio and uniform conditional stochastic order, J. Appl. Probab. 19 (1982) 695-701.
    • (1982) J. Appl. Probab. , vol.19 , pp. 695-701
    • Whitt, W.1
  • 33
    • 0031295114 scopus 로고    scopus 로고
    • Preservation of multivariate stochastic orders under multivariate Poisson shock models
    • T. Wong, Preservation of multivariate stochastic orders under multivariate Poisson shock models, J. Appl. Probab. 34 (1997) 1009-1020.
    • (1997) J. Appl. Probab. , vol.34 , pp. 1009-1020
    • Wong, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.