在本文中，我們證明了：若對應於壽命分佈函數F之更新函數為凸（ 凹
）族，因此解決了Shaked和Zhu(1992)所提出的兩個問題。 蝻う漫宒銵A
我們進一步得到了於某些特定之壽命分佈函數族中， / We prove that if the renewal function M(t) corresponding to a life distribution F is convex(resp. concave) then F is NBU(resp. NWU), and hence answer two questions posed by Shaked and Zhu(1992). Moreover, based on the renewal function, some characterizations of the exponential distribution within certain classes of life distributions are given.
Key words and phrases:exponential distribution;renewal counting process; DFR;NBU;NWU;NBUE;NWUE.
| Identifer | oai:union.ndltd.org:CHENGCHI/B2002004193 |
| Creators | 程毅豪, Chen, Yi-Hau |
| Publisher | 國立政治大學 |
| Source Sets | National Chengchi University Libraries |
| Language | 英文 |
| Detected Language | English |
| Type | text |
| Rights | Copyright © nccu library on behalf of the copyright holders |
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