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Volumn 73, Issue 2, 2000, Pages 262-281

Stochastic Comparisons and Dependence among Concomitants of Order Statistics

Author keywords

Associated random variables; Dependence by reverse regular rule; Dependence by total positivity; Dispersive ordering; Hazard rate ordering; Likelihood ratio ordering; Right corner set increasing; Stochastic ordering

Indexed keywords


EID: 0000832025     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1999.1882     Document Type: Article
Times cited : (19)

References (22)
  • 1
    • 0000989516 scopus 로고
    • On tail ordering and comparison of failure rates
    • Bagai I., Kochar S. C. On tail ordering and comparison of failure rates. Commun. Statist. Theor. Meth. 15:1986;1377-1388.
    • (1986) Commun. Statist. Theor. Meth. , vol.15 , pp. 1377-1388
    • Bagai, I.1    Kochar, S.C.2
  • 3
    • 0001240320 scopus 로고
    • Convergence of sample paths of normalized sums of induced order statistics
    • Bhattacharya P. K. Convergence of sample paths of normalized sums of induced order statistics. Ann. Statist. 2:1974;1034-1039.
    • (1974) Ann. Statist. , vol.2 , pp. 1034-1039
    • Bhattacharya, P.K.1
  • 4
    • 70350336262 scopus 로고
    • Induced order statistics: Theory and applications
    • P. R. Krishnaiah, & P. K. Sen. Amsterdam: North Holland
    • Bhattacharya P. K. Induced order statistics: Theory and applications. Krishnaiah P. R., Sen P. K. Handbook of Statistics, Vol. 4, Nonparametric Methods. 1984;383-403 North Holland, Amsterdam.
    • (1984) Handbook of Statistics, Vol. 4, Nonparametric Methods , pp. 383-403
    • Bhattacharya, P.K.1
  • 6
  • 7
    • 0009022053 scopus 로고
    • The asymptotic theory of concomitants of order statistics
    • David H. A., Galambos J. The asymptotic theory of concomitants of order statistics. J. Appl. Probab. 11:1974;762-770.
    • (1974) J. Appl. Probab. , vol.11 , pp. 762-770
    • David, H.A.1    Galambos, J.2
  • 10
    • 0004167764 scopus 로고
    • Stanford: Stanford Univ. Press
    • Karlin S. Total Positivity. 1968;Stanford Univ. Press, Stanford.
    • (1968) Total Positivity
    • Karlin, S.1
  • 11
    • 0039766073 scopus 로고
    • Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions
    • Karlin S., Rinott Y. Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions. J. Multivariate Anal. 10:1980a;467-498.
    • (1980) J. Multivariate Anal. , vol.10 , pp. 467-498
    • Karlin, S.1    Rinott, Y.2
  • 12
    • 49149144788 scopus 로고
    • Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions
    • Karlin S., Rinott Y. Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions. J. Multivariate Anal. 10:1980b;499-516.
    • (1980) J. Multivariate Anal. , vol.10 , pp. 499-516
    • Karlin, S.1    Rinott, Y.2
  • 13
    • 38249019800 scopus 로고
    • On the dependence structure of order statistics and concomitants of order statistics
    • Kim S. H., David H. A. On the dependence structure of order statistics and concomitants of order statistics. J. Statist. Plan. Inf. 24:1990;363-368.
    • (1990) J. Statist. Plan. Inf. , vol.24 , pp. 363-368
    • Kim, S.H.1    David, H.A.2
  • 14
    • 0001066835 scopus 로고
    • Dependence by total positivity
    • Lee M. L. T. Dependence by total positivity. Ann. Probab. 13:1985a;572-582.
    • (1985) Ann. Probab. , vol.13 , pp. 572-582
    • Lee, M.L.T.1
  • 15
    • 0010935148 scopus 로고
    • Dependence by reverse regular rule
    • Lee M. L. T. Dependence by reverse regular rule. Ann. Probab. 13:1985b;583-591.
    • (1985) Ann. Probab , vol.13 , pp. 583-591
    • Lee, M.L.T.1
  • 18
    • 35348903469 scopus 로고
    • A note on invariance principles for induced order statistics
    • Sen P. K. A note on invariance principles for induced order statistics. Ann. Probab. 4:1976;474-479.
    • (1976) Ann. Probab. , vol.4 , pp. 474-479
    • Sen, P.K.1
  • 19
    • 0001153625 scopus 로고
    • A family of concepts of dependence for bivariate distribution
    • Shaked M. A family of concepts of dependence for bivariate distribution. J. Amer. Statist. Assoc. 72:1977;642-650.
    • (1977) J. Amer. Statist. Assoc. , vol.72 , pp. 642-650
    • Shaked, M.1
  • 21
    • 0000492685 scopus 로고
    • Bivariate characterization of some stochastic order relations
    • Shanthikumar J. G., Yao D. D. Bivariate characterization of some stochastic order relations. Adv. Appl. Probab. 23:1991;642-659.
    • (1991) Adv. Appl. Probab. , vol.23 , pp. 642-659
    • Shanthikumar, J.G.1    Yao, D.D.2
  • 22
    • 0000239077 scopus 로고
    • General distribution theory of the concomitants of order statistics
    • Yang S. S. General distribution theory of the concomitants of order statistics. Ann. Statist. 5:1977;996-1002.
    • (1977) Ann. Statist. , vol.5 , pp. 996-1002
    • Yang, S.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.