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Communications in Statistics - Theory and Methods Volume 38, 2009 - Issue 12: Ordered Data Analysis
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DISTRIBUTION THEORY

Identical Distributions of Single Variates and Random Convex Combinations of Uniform Fractional Order Statistics

Eric Beutner Institute of Statistics, RWTH Aachen University, Aachen, Germany
&
Udo Kamps Institute of Statistics, RWTH Aachen University, Aachen, GermanyCorrespondence[email protected]
Pages 1950-1959 | Received 18 Sep 2007, Accepted 24 Sep 2008, Published online: 27 May 2009

References

  • Beutner , E. , Kamps , U. ( 2007 ). Random convex combinations of order statistics . Statist. Probab. Lett. 77 : 1133 – 1136 .
  • Beutner , E. , Kamps , U. ( 2008 ). Models of ordered data and products of beta random variables . In: Arnold , B. C. , Balakrishnan , N. , Sarabia , J. M. , Minguez , R. , eds. Advances in Mathematical and Statistical Modeling . Boston : Birkhäuser , pp. 101 – 106 .
  • David , H. A. , Nagaraja , H. N. ( 2003 ). Order Statistics. , 3rd ed. Hoboken, NJ : Wiley .
  • Jones , M. C. ( 2002 ). On fractional uniform order statistics . Statist. Probab. Lett. 58 : 93 – 96 .
  • Kotz , S. , Balakrishnan , N. , Johnson , N. L. ( 2000 ). Continuous Multivariate Distributions. Volume 1: Methods and Applications . New York : Wiley .
  • Papadatos , N. ( 1995 ). Intermediate order statistics with applications to nonparametric estimation . Statist. Probab. Lett. 22 : 231 – 238 .
  • Stigler , S. M. ( 1977 ). Fractional order statistics, with applications . J. Amer. Statist. Assoc. 72 : 544 – 550 .
  • Wilks , S. ( 1962 ). Mathematical Statistics . New York : Wiley .

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