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ORDERED DATA ANALYSIS AND APPLICATIONS

Dependence Structure of Spacings of Order Statistics

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Pages 2390-2403 | Received 26 Apr 2007, Accepted 04 Jan 2008, Published online: 12 Jun 2008

References

  • Barlow , R. E. , Proschan , F. ( 1981 ). Statistical Theory of Reliability and Life Testing . Silver Springs , MD : To Begin With .
  • Block , H. W. , Ting , M. L. ( 1981 ). Some concepts of multivariate dependence . Commun. Statist. Theor. Meth. 10 : 749 – 762 .
  • Burkschat , M. ( 2006 ). Multivariate dependence of spacings of generalized order statistics . Technical Report, Institute of Statistics, RWTH Aachen University, Aachen .
  • Chandra , N. K. , Roy , D. ( 2001 ). Some results on reversed hazard rate . Probab. Eng. Informat. Sci. 15 : 95 – 102 .
  • David , H. A. ( 1981 ). Order Statistics. , 2nd ed. New York : John Wiley & Sons .
  • Esary , J. D. , Proschan , F. ( 1972 ). Relations among some notions of bivariate dependence . Ann. Mathemat. Statist. 43 : 651 – 655 .
  • Hu , T. , Zhuang , W. ( 2006 ). Stochastic orderings between p-spacings of generalized order statistics from two samples . Probab. Eng. Informat. Sci. 20 : 465 – 479 .
  • Kamps , U. ( 1995a ). A Concept of Generalized Order Statistics . Stuttgart : Teubner .
  • Kamps , U. ( 1995b ). A concept of generalized order statistics . J. Statist. Plann. Infer. 48 : 1 – 23 .
  • Karlin , S. ( 1968 ). Total Positivity . Palo Alto , CA : Stanford University Press .
  • Karlin , S. , Rinott , Y. ( 1980a ). Classes of orderings of measures and related correlation inequalities I. Multivariate totally positive distributions . J. Multivariate Anal. 10 : 467 – 498 .
  • Karlin , S. , Rinott , Y. (1980b). Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions. J. Multivariate Anal. 10:499–516.
  • Khaledi , B.-E. , Kochar , S. ( 2000 ). Dependence among spacings . Probab. Eng. Informat. Sci. 14 : 461 – 472 .
  • Khaledi , B.-E. , Kochar , S. ( 2001 ). Dependence properties of multivariate mixture distributions and their applications . Ann. Instit. Statist. Math. 53 : 620 – 630 .
  • Kim , S. H. , David , H. A. ( 1990 ). On the dependence structure of order statistics and concomitants of order statistics . J. Statist. Plann. Infer. 24 : 363 – 368 .
  • Kochar , S. ( 1999 ). On stochastic orderings between distributions and their sample spacings . Statist. Probab. Lett. 42 : 345 – 352 .
  • Li , X. , Hu , X. , Li , Z. ( 2006 ). TP2 dependence among sample spacings . Technical Report, School of Mathematics and Statistics, Lanzhou University, Lanzhou .
  • Lillo , R. E. , Nanda , A. K. , Shaked , M. ( 2000 ). Some shifted stochastic orders . In: Limnios , N. , Nikulin , M. , eds. Recent Advances in Reliability Theory: Methodology, Practice, and Inference . Boston : Birkhäuser , pp. 85 – 103 .
  • Misra , N. , van der Meulen , E. C. ( 2003 ). On stochastic properties of m-spacings . J. Statist. Plann. Infer. 115 : 683 – 697 .
  • Müller , A. , Stoyan , D. ( 2002 ). Comparison Methods for Stochastic Models and Risks . West Sussex : John Wiley & Sons .
  • Sengupta , D. , Nanda , A. K. ( 1999 ). Log-concave and concave distributions in reliability . Nav. Res. Logistics 46 : 419 – 433 .
  • Shaked , M. , Shanthikumar , J. G. ( 1994 ). Stochastic Orders and Their Applications . New York : Academic Press .

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