Title page for etd-0615107-152307


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URN etd-0615107-152307
Author Jyh-shin Huang
Author's Email Address huangjs@mail.math.nsysu.edu.tw
Statistics This thesis had been viewed 5061 times. Download 1599 times.
Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title The Stieltjes Transforms of Symmetric Probability Distribution Functions
Date of Defense 2007-05-25
Page Count 20
Keyword
  • inversion formula
  • Stieltjes transform
  • Abstract In this thesis, we study the Stieltjes transforms of the probability distribution functions
    and compare them with the characteristic functions of the probability distribution functions
    simultaneously.
    In section 1 and section 2, we introduce briefly the Stieltjes transforms.
    In section 3, we conclude that the Stieltjes transform is similar to the complexion of
    symmetry under the condition of symmetric probability distribution functions.
    In section 4, we discuss the relation between Stieltjes transforms of probability
    distribution functions and the density of probability distribution functions. We also
    show that the nth derivative of Stieltjes transform is uniformly continuous on the upper
    complex plane.
    Advisory Committee
  • Chien-Sen Huang - chair
  • Tsai-Lien Wong - co-chair
  • Jhishen Tsay - advisor
  • Files
  • etd-0615107-152307.pdf
  • indicate access worldwide
    Date of Submission 2007-06-15

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