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Volumn 138, Issue 5, 2008, Pages 1242-1257

Likelihood ratio ordering of order statistics, mixtures and systems

Author keywords

Coherent system; DLR; Hazard rate; ILR; k Out of n system; Likelihood ratio order; Mixture; Order statistics

Indexed keywords


EID: 38149120393     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.04.022     Document Type: Article
Times cited : (34)

References (32)
  • 1
    • 38149021333 scopus 로고
    • A survey of network reliability and domination theory
    • Agrawal A., and Barlow R.E. A survey of network reliability and domination theory. Oper. Res. 12 (1984) 611-631
    • (1984) Oper. Res. , vol.12 , pp. 611-631
    • Agrawal, A.1    Barlow, R.E.2
  • 2
    • 0004442746 scopus 로고    scopus 로고
    • Reliability properties of order statistics from bivariate exponential distributions
    • Baggs G.E., and Nagaraja H.N. Reliability properties of order statistics from bivariate exponential distributions. Commun. Statist. Stochastic Models 12 (1996) 611-631
    • (1996) Commun. Statist. Stochastic Models , vol.12 , pp. 611-631
    • Baggs, G.E.1    Nagaraja, H.N.2
  • 3
    • 39349087137 scopus 로고    scopus 로고
    • Balakrishnan, N., Cramer, E., 2007. Progressive censoring from heterogeneous distributions with applications to robustness. Ann. Inst. Statist. Math., in press, doi: 10.1007/s10463-006-0070-8.
  • 4
    • 34447505961 scopus 로고    scopus 로고
    • Balakrishnan, N., Xie, Q., 2007a. Exact inference for a simple step-stress model with type-I hybrid censored data from the exponential distribution. J. Statist. Plann. Inference, in press, doi: 10.1016/j.jspi.2007.03.011.
  • 5
    • 34247560738 scopus 로고    scopus 로고
    • Exact inference for a simple step-stress model with type-II hybrid censored data from the exponential distribution
    • Balakrishnan N., and Xie Q. Exact inference for a simple step-stress model with type-II hybrid censored data from the exponential distribution. J. Statist. Plann. Inference 137 (2007) 2543-2563
    • (2007) J. Statist. Plann. Inference , vol.137 , pp. 2543-2563
    • Balakrishnan, N.1    Xie, Q.2
  • 6
    • 38149012111 scopus 로고    scopus 로고
    • Balakrishnan, N., Xie, Q., Kundu, D., 2007. Exact inference for a simple step-stress model from the exponential distribution under time constraint. Ann. Inst. Statist. Math., to appear.
  • 8
    • 0031304301 scopus 로고    scopus 로고
    • Tail behavior of the failure rate functions of mixtures
    • Block H.W., and Joe H. Tail behavior of the failure rate functions of mixtures. Lifetime Data Anal. 3 (1997) 269-288
    • (1997) Lifetime Data Anal. , vol.3 , pp. 269-288
    • Block, H.W.1    Joe, H.2
  • 10
    • 38149075114 scopus 로고    scopus 로고
    • The failure rate and the mean residual lifetime of mixtures
    • World Scientific Publishing, River Edge, NJ
    • Finkelstein M.S. The failure rate and the mean residual lifetime of mixtures. System and Bayesian Reliability, Ser. Qual. Reliab. Eng. Stat. vol. 5 (2001), World Scientific Publishing, River Edge, NJ 165-183
    • (2001) System and Bayesian Reliability, Ser. Qual. Reliab. Eng. Stat. , vol.5 , pp. 165-183
    • Finkelstein, M.S.1
  • 11
    • 33646084377 scopus 로고    scopus 로고
    • Asymptotic behavior of a general class of mixture failure rates
    • Finkelstein M.S., and Esaulova V. Asymptotic behavior of a general class of mixture failure rates. Adv. in Appl. Probab. 38 1 (2006) 244-262
    • (2006) Adv. in Appl. Probab. , vol.38 , Issue.1 , pp. 244-262
    • Finkelstein, M.S.1    Esaulova, V.2
  • 13
    • 73149124804 scopus 로고
    • Bathtub and related failure rate characterizations
    • Glaser R.E. Bathtub and related failure rate characterizations. J. Amer. Statist. Assoc. 75 371 (1980) 667-672
    • (1980) J. Amer. Statist. Assoc. , vol.75 , Issue.371 , pp. 667-672
    • Glaser, R.E.1
  • 14
    • 31244437572 scopus 로고    scopus 로고
    • Determination of change points of non-monotonic failure rates
    • Gupta R.C., and Warren R. Determination of change points of non-monotonic failure rates. Comm. Statist. Theory Methods 30 (2001) 1903-1920
    • (2001) Comm. Statist. Theory Methods , vol.30 , pp. 1903-1920
    • Gupta, R.C.1    Warren, R.2
  • 15
    • 0035590181 scopus 로고    scopus 로고
    • Likelihood ratio and mean residual life orders for order statistics of heterogeneous random variables
    • Hu T., Zhu Z., and Wei Y. Likelihood ratio and mean residual life orders for order statistics of heterogeneous random variables. Probab. Eng. Inform. Sci. 15 (2001) 259-272
    • (2001) Probab. Eng. Inform. Sci. , vol.15 , pp. 259-272
    • Hu, T.1    Zhu, Z.2    Wei, Y.3
  • 17
    • 0000858310 scopus 로고    scopus 로고
    • Preservation of some likelihood ratio stochastic orders by order statistics
    • Lillo R.E., Nanda A.K., and Shaked M. Preservation of some likelihood ratio stochastic orders by order statistics. Statist. Probab. Lett. 51 2 (2001) 111-119
    • (2001) Statist. Probab. Lett. , vol.51 , Issue.2 , pp. 111-119
    • Lillo, R.E.1    Nanda, A.K.2    Shaked, M.3
  • 18
    • 0001721990 scopus 로고    scopus 로고
    • Age-mooth properties of mixture models
    • Mi J. Age-mooth properties of mixture models. Statist. Probab. Lett. 43 (1999) 225-236
    • (1999) Statist. Probab. Lett. , vol.43 , pp. 225-236
    • Mi, J.1
  • 19
    • 2342579505 scopus 로고    scopus 로고
    • A general approach to the shape of failure rate and MRL functions
    • Mi J. A general approach to the shape of failure rate and MRL functions. Naval Res. Logist. 51 (2004) 543-556
    • (2004) Naval Res. Logist. , vol.51 , pp. 543-556
    • Mi, J.1
  • 20
    • 34247640608 scopus 로고    scopus 로고
    • Mean residual lifetimes of Consecutive k-out-of-n systems
    • Navarro J., and Eryilmaz S. Mean residual lifetimes of Consecutive k-out-of-n systems. J. Appl. Probab. 44 (2007) 82-98
    • (2007) J. Appl. Probab. , vol.44 , pp. 82-98
    • Navarro, J.1    Eryilmaz, S.2
  • 21
    • 8744224330 scopus 로고    scopus 로고
    • How to obtain bathtub-shaped failure rate models from normal mixtures
    • Navarro J., and Hernandez P.J. How to obtain bathtub-shaped failure rate models from normal mixtures. Probab. Eng. Inform. Sci. 18 4 (2004) 511-531
    • (2004) Probab. Eng. Inform. Sci. , vol.18 , Issue.4 , pp. 511-531
    • Navarro, J.1    Hernandez, P.J.2
  • 22
    • 41049101381 scopus 로고    scopus 로고
    • Navarro, J., Hernandez, P.J., 2007. Mean residual life functions of finite mixtures, order statistics and coherent systems. Metrika, in press, doi: 10.1007/s00184-007-0133-8.
  • 23
    • 33845344692 scopus 로고    scopus 로고
    • Hazard rate ordering of order statistics and systems
    • Navarro J., and Shaked M. Hazard rate ordering of order statistics and systems. J. Appl. Probab. 43 (2006) 391-408
    • (2006) J. Appl. Probab. , vol.43 , pp. 391-408
    • Navarro, J.1    Shaked, M.2
  • 27
    • 0242510859 scopus 로고    scopus 로고
    • On the comparison of reliability experiments based on the convolution order
    • Shaked M., and Suarez-Llorens A. On the comparison of reliability experiments based on the convolution order. J. Amer. Statist. Assoc. 98 (2003) 693-702
    • (2003) J. Amer. Statist. Assoc. , vol.98 , pp. 693-702
    • Shaked, M.1    Suarez-Llorens, A.2
  • 28
    • 38249041069 scopus 로고
    • The preservation of likelihood ratio ordering under convolutions
    • Shanthikumar J.G., and Yao D.D. The preservation of likelihood ratio ordering under convolutions. Stochastic Process. Appl. 23 (1986) 259-267
    • (1986) Stochastic Process. Appl. , vol.23 , pp. 259-267
    • Shanthikumar, J.G.1    Yao, D.D.2
  • 29
    • 0022730912 scopus 로고
    • The effect of increasing service rates in a closed queueing network
    • Shanthikumar J.G., and Yao D.D. The effect of increasing service rates in a closed queueing network. J. Appl. Probab. 23 (1986) 474-483
    • (1986) J. Appl. Probab. , vol.23 , pp. 474-483
    • Shanthikumar, J.G.1    Yao, D.D.2
  • 30
    • 0011523716 scopus 로고
    • Second-order properties of the throughput of a closed queueing network
    • Shanthikumar J.G., and Yao D.D. Second-order properties of the throughput of a closed queueing network. Math. Oper. Res. 13 3 (1988) 524-534
    • (1988) Math. Oper. Res. , vol.13 , Issue.3 , pp. 524-534
    • Shanthikumar, J.G.1    Yao, D.D.2
  • 31
    • 0347667349 scopus 로고    scopus 로고
    • Characterizations of generalized mixtures of geometric and exponential distributions based on upper record values
    • Wu J.W. Characterizations of generalized mixtures of geometric and exponential distributions based on upper record values. Statist. Papers 42 (2001) 123-133
    • (2001) Statist. Papers , vol.42 , pp. 123-133
    • Wu, J.W.1
  • 32
    • 0345983285 scopus 로고    scopus 로고
    • Characterization of generalized mixtures of exponential distribution based on conditional expectation of order statistics
    • Wu J.W., and Lee W.C. Characterization of generalized mixtures of exponential distribution based on conditional expectation of order statistics. J. Japan Statist. Soc. 28 (1998) 39-44
    • (1998) J. Japan Statist. Soc. , vol.28 , pp. 39-44
    • Wu, J.W.1    Lee, W.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.