메뉴 건너뛰기




Volumn 42, Issue 2, 1999, Pages 145-156

The Laplace order and ordering of residual lives

Author keywords

DMRL IMRL ; DRLLt IRLLt ; Hazard rate order; HNBUE HNWUE ; Increasing convex order; Laplace transform order; Laplace transform order of residual lives; Mean residual life order; NBU; NBUE NWUE ; Stochastic order;

Indexed keywords


EID: 0033114752     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00202-8     Document Type: Article
Times cited : (36)

References (29)
  • 2
    • 0016486370 scopus 로고
    • Shock models with underlying birth process
    • A-Hameed, M.S., Proschan, F., 1975. Shock models with underlying birth process. J. Appl. Probab. 12, 18-28.
    • (1975) J. Appl. Probab. , vol.12 , pp. 18-28
    • A-Hameed, M.S.1    Proschan, F.2
  • 3
    • 0002158616 scopus 로고
    • Laplace ordering and its applications
    • Alzaid, A., Kim, J.S., Proschan, F., 1991. Laplace ordering and its applications. J. Appl. Probab. 28, 116-130.
    • (1991) J. Appl. Probab. , vol.28 , pp. 116-130
    • Alzaid, A.1    Kim, J.S.2    Proschan, F.3
  • 4
    • 0030209802 scopus 로고    scopus 로고
    • Dispersive ordering and characterizations of ageing classes
    • Belzunce, F., Candel, J., Ruiz, J.M., 1996. Dispersive ordering and characterizations of ageing classes. Statist. Probab. Lett. 28, 321-327.
    • (1996) Statist. Probab. Lett. , vol.28 , pp. 321-327
    • Belzunce, F.1    Candel, J.2    Ruiz, J.M.3
  • 5
    • 0031554143 scopus 로고    scopus 로고
    • The dilation order, the dispersion order, and orderings of residual lives
    • Belzunce, F., Pellerey, F., Ruiz, J.M., Shaked, M., 1997. The dilation order, the dispersion order, and orderings of residual lives. Statist. Probab. Lett. 33, 263-275.
    • (1997) Statist. Probab. Lett. , vol.33 , pp. 263-275
    • Belzunce, F.1    Pellerey, F.2    Ruiz, J.M.3    Shaked, M.4
  • 6
    • 0018014592 scopus 로고
    • Shocks models with NBUE survival
    • Block, H.W., Savits, T.H., 1978. Shocks models with NBUE survival. J. Appl. Probab. 15, 621-628.
    • (1978) J. Appl. Probab. , vol.15 , pp. 621-628
    • Block, H.W.1    Savits, T.H.2
  • 9
    • 84989695116 scopus 로고
    • New partial orderings and applications
    • Fagiuoli, E., Pellerey, F., 1993. New partial orderings and applications. Nav. Res. Log. Quart. 40, 829-842.
    • (1993) Nav. Res. Log. Quart. , vol.40 , pp. 829-842
    • Fagiuoli, E.1    Pellerey, F.2
  • 10
    • 21344495855 scopus 로고
    • Preservation of certain classes of life distributions under poisson shocks models
    • Fagiuoli, E., Pellerey, F., 1994a. Preservation of certain classes of life distributions under Poisson shocks models. J. Appl. Probab. 31, 458-465.
    • (1994) J. Appl. Probab. , vol.31 , pp. 458-465
    • Fagiuoli, E.1    Pellerey, F.2
  • 11
    • 0001462158 scopus 로고
    • Mean residual life and increasing convex comparison of shock models
    • Fagiuoli, E., Pellerey, F., 1994b. Mean residual life and increasing convex comparison of shock models. Statist. Probab. Lett. 20, 337-345.
    • (1994) Statist. Probab. Lett. , vol.20 , pp. 337-345
    • Fagiuoli, E.1    Pellerey, F.2
  • 13
    • 0009375350 scopus 로고
    • Standford University Press, Standford, CA
    • Karlin, S., 1968. Total Positivity, vol. I. Standford University Press, Standford, CA.
    • (1968) Total Positivity , vol.1
    • Karlin, S.1
  • 14
    • 84971985399 scopus 로고
    • Order-preserving shock models
    • Kebir, Y., 1994. Order-preserving shock models. Probab. Eng. Inform. Sci. 8, 125-134.
    • (1994) Probab. Eng. Inform. Sci. , vol.8 , pp. 125-134
    • Kebir, Y.1
  • 15
    • 0009312571 scopus 로고
    • Survival under the pure birth shock model
    • Klefsjö, B., 1981a. Survival under the pure birth shock model. J. Appl. Probab. 18, 554-560.
    • (1981) J. Appl. Probab. , vol.18 , pp. 554-560
    • Klefsjö, B.1
  • 16
    • 0002444410 scopus 로고
    • HNBUE survival under some shock models
    • Klefsjö, B., 1981b. HNBUE survival under some shock models. Scand. J. Statist. 8, 39-47.
    • (1981) Scand. J. Statist. , vol.8 , pp. 39-47
    • Klefsjö, B.1
  • 17
    • 0001075727 scopus 로고
    • The HNBUE and HNWUE classes of life distributions
    • Klefsjö, B., 1982. The HNBUE and HNWUE classes of life distributions. Nav. Res. Log. Quart. 29, 331-344.
    • (1982) Nav. Res. Log. Quart. , vol.29 , pp. 331-344
    • Klefsjö, B.1
  • 18
    • 0000717670 scopus 로고
    • A useful ageing property based on the Laplace transform
    • Klefsjö, B., 1983. A useful ageing property based on the Laplace transform. J. Appl. Probab. 20, 615-626.
    • (1983) J. Appl. Probab. , vol.20 , pp. 615-626
    • Klefsjö, B.1
  • 20
    • 0001767296 scopus 로고
    • Partial orderings under cumulative shock models
    • Pellerey, F., 1993. Partial orderings under cumulative shock models. Adv. Appl. Probab. 25, 939-946.
    • (1993) Adv. Appl. Probab. , vol.25 , pp. 939-946
    • Pellerey, F.1
  • 21
    • 21344477526 scopus 로고
    • Shock models with underlying counting process
    • Pellerey, F., 1994. Shock models with underlying counting process. J. Appl. Probab. 31, 156-166.
    • (1994) J. Appl. Probab. , vol.31 , pp. 156-166
    • Pellerey, F.1
  • 22
    • 0031574854 scopus 로고    scopus 로고
    • Characterizations of the IFR and DFR aging notions by means of the dispersive order
    • Pellerey, F., Shaked, M., 1997. Characterizations of the IFR and DFR aging notions by means of the dispersive order. Statist. Probab. Lett. 33, 389-393.
    • (1997) Statist. Probab. Lett. , vol.33 , pp. 389-393
    • Pellerey, F.1    Shaked, M.2
  • 23
    • 0009367244 scopus 로고
    • Conditions on the arrival process to obtain HNBUE survival using a shock model
    • Pérez-Ocón, R., Gámiz-Pérez, M.L., 1995. Conditions on the arrival process to obtain HNBUE survival using a shock model. Commun. Statist.-Theory Meth. 24, 931-944.
    • (1995) Commun. Statist.-Theory Meth. , vol.24 , pp. 931-944
    • Pérez-Ocón, R.1    Gámiz-Pérez, M.L.2
  • 24
    • 0009310173 scopus 로고    scopus 로고
    • HNBUE property in a shock model with cumulative damage threshold
    • Pérez-Ocón, R., Gámiz-Pérez, M.L., 1996. HNBUE property in a shock model with cumulative damage threshold. Commun. Statist.-Theory Meth. 25, 345-360.
    • (1996) Commun. Statist.-Theory Meth. , vol.25 , pp. 345-360
    • Pérez-Ocón, R.1    Gámiz-Pérez, M.L.2
  • 26
    • 84973944225 scopus 로고
    • Preservation of stochastic orderings under random mapping by point processes
    • Shaked, M., Wong, T., 1995. Preservation of stochastic orderings under random mapping by point processes. Probab. Eng. Inform. Sci. 9, 563-580.
    • (1995) Probab. Eng. Inform. Sci. , vol.9 , pp. 563-580
    • Shaked, M.1    Wong, T.2
  • 27
    • 0031354430 scopus 로고    scopus 로고
    • Stochastic orders based on ratios of Laplace transforms
    • Shaked, M., Wong, T., 1997a. Stochastic orders based on ratios of Laplace transforms. J. Appl. Probab. 34, 404-419.
    • (1997) J. Appl. Probab. , vol.34 , pp. 404-419
    • Shaked, M.1    Wong, T.2
  • 28
    • 0031338101 scopus 로고    scopus 로고
    • Stochastic comparisons of random minimums and maximums
    • Shaked, M., Wong, T., 1997b. Stochastic comparisons of random minimums and maximums. J. Appl. Probab. 34, 420-425.
    • (1997) J. Appl. Probab. , vol.34 , pp. 420-425
    • Shaked, M.1    Wong, T.2
  • 29
    • 0000326305 scopus 로고
    • Preservation of some partial orderings under poisson shock models
    • Singh, H., Jain, K., 1989. Preservation of some partial orderings under Poisson shock models. J. Appl. Probab. 21, 713-716.
    • (1989) J. Appl. Probab. , vol.21 , pp. 713-716
    • Singh, H.1    Jain, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.