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).
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0626100-163925 |
| Date | 26 June 2000 |
| Creators | Tsai, Hsin-Chuan |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0626100-163925 |
| Rights | unrestricted, Copyright information available at source archive |
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