In this thesis we present some related problems about the renewal processes. More precisely, let $gamma_{t}$ be the residual life at time $t$ of the renewal process $A={A(t),t geq 0}$, $F$ be the common distribution function of the inter-arrival times. Under suitable conditions, we prove that if $Var(gamma_{t})=E^2(gamma_{t})-E(gamma_{t}),forall t=0,1
ho,2
ho,3
ho,... $, then $F$ will be geometrically distributed under the assumption $F$ is discrete. We also discuss
the tails of random sums for the renewal process. We prove that the $k$ power of random sum is always new worse than used ($NWU$).
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0619101-135518 |
| Date | 19 June 2001 |
| Creators | Yeh, Tzu-Tsen |
| Contributors | Jyh-Chemg Su, Mong-Na Lo, Wen-Jang 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-0619101-135518 |
| Rights | withheld, Copyright information available at source archive |
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