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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0615107-152307 |
| Date | 15 June 2007 |
| Creators | Huang, Jyh-shin |
| Contributors | Tsai-Lien Wong, Jhishen Tsay, Chien-Sen Huang |
| 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-0615107-152307 |
| Rights | unrestricted, Copyright information available at source archive |
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