Title page for etd-0619101-160356


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URN etd-0619101-160356
Author Tao-Wen Chang
Author's Email Address changtw@ibm7.math.nsysu.edu.tw
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Department Applied Mathematics
Year 2000
Semester 2
Degree Master
Type of Document
Language English
Title Characterizations of Distributions by Conditional Expectation
Date of Defense 2001-06-08
Page Count 24
Keyword
  • Binomial distribution
  • Conditional expectations
  • Exponential
  • Bivariate
  • distribution
  • Characterization
  • Uniform distribution.
  • Abstract In this thesis, first we replace the condition X ≦ y in Huang and Su (2000) by X ≧ y and give necessary and sufficient conditions such that there exists a random variable X satisfying that E(g(X)| X ≦ y)=h(y) f(y )/ F(y), " y Î CX, where CX is the support of X.Next, we investigate necessary and sufficient conditions such that h(y)=E(g(X) | X ≦ y ), for a given function h and extend these results to bivariate case.
    Advisory Committee
  • Wen-Jang Huang - chair
  • Jyh-Cherng Su - co-chair
  • Mong-Na Lo - advisor
  • Files
  • etd-0619101-160356.pdf
  • indicate access worldwide
    Date of Submission 2001-06-19

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