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URN etd-0626100-163925 Author Hsin-Chuan Tsai Author's Email Address No Public. Statistics This thesis had been viewed 5063 times. Download 4731 times. Department Applied Mathematics Year 1999 Semester 2 Degree Master Type of Document Language English Title Characterization of Stieltjes Transforms Date of Defense 2000-05-26 Page Count 20 Keyword Stieltjes Abstract Let F(t) be a probability distribution

function, its Stieltjes transform is defined by

S_{F}(z)=int_{-infty}^{infty}frac{1}{t-z}dF(t), where z=x+iyin$ {f C}, y>0.

In this thesis, we are interested in what f being the Stieltjes transform of some F. That is, we want to know what conditions f has, then f(z) can be written by int_{-infty}^{infty}frac{1}{t-z}dF(t).Advisory Committee - co-chair

- co-chair

- co-chair

- co-chair

- advisor

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qq.pdf Date of Submission 2000-06-26