Title page for etd-0704100-010736


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URN etd-0704100-010736
Author Tzu-Fang Kuo
Author's Email Address kuotf@math.nsysu.edu.tw
Statistics This thesis had been viewed 5066 times. Download 2068 times.
Department Applied Mathematics
Year 1999
Semester 2
Degree Master
Type of Document
Language English
Title Characterizations Based on Conditional Expectations of Order Statistics
Date of Defense 2000-06-02
Page Count 17
Keyword
  • non-independent bivarite homogeneous Poisson proce
  • Characterization
  • Bivariate geometric distribution
  • Gumble bivariate exponential distribution
  • order statistics property
  • order statistics
  • Abstract It is known that record values and order statistics are closely related. When record values and order statistics are viewed as point processes, the two processes both share the order statistics property. The results of Beg and Balasubramanian(1990), Wu and Ouyang(1996), and Huang and Su(1999) about record values and order statistics motivated us to investigate more general results of characterization for order statistics point processes by using conditional
    expectations based on order statistics. On the other hand, in the class of point processes, there are a lot of characterizations of homogeneous Poisson processes based on the memoryless property of exponential distribution. The result of Asadi(1999) about characterization of the Gumble bivariate exponential or the bivariate geometric distribution inspired us be interested in investigating some similar results about non-independent bivarite homogeneous Poisson processes.
    Advisory Committee
  • Yung-Zi Su - chair
  • Jyh-Cherng Su - co-chair
  • Wen-Jang Huang - advisor
  • Files
  • mypaper.pdf
  • indicate access worldwide
    Date of Submission 2000-07-04

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