| dc.contributor.advisor | 林國棟 | zh_TW |
| dc.contributor.advisor | Lin, Gwo-Dong | en_US |
| dc.contributor.author (作者) | 程毅豪 | zh_TW |
| dc.contributor.author (作者) | Chen, Yi-Hau | en_US |
| dc.creator (作者) | 程毅豪 | zh_TW |
| dc.creator (作者) | Chen, Yi-Hau | en_US |
| dc.date (日期) | 1993 | en_US |
| dc.date.accessioned | 29-四月-2016 16:43:51 (UTC+8) | - |
| dc.date.available | 29-四月-2016 16:43:51 (UTC+8) | - |
| dc.date.issued (上傳時間) | 29-四月-2016 16:43:51 (UTC+8) | - |
| dc.identifier (其他 識別碼) | B2002004193 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/89018 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 統計學系 | zh_TW |
| dc.description (描述) | G80354006 | zh_TW |
| dc.description.abstract (摘要) | 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， | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002004193 | en_US |
| dc.subject (關鍵詞) | 指數分佈 | zh_TW |
| dc.subject (關鍵詞) | 更新過程 | zh_TW |
| dc.subject (關鍵詞) | exponential distribution | en_US |
| dc.subject (關鍵詞) | renewal process | en_US |
| dc.subject (關鍵詞) | DFR | en_US |
| dc.subject (關鍵詞) | NBU | en_US |
| dc.subject (關鍵詞) | NWU | en_US |
| dc.subject (關鍵詞) | NBUE | en_US |
| dc.subject (關鍵詞) | NWUE | en_US |
| dc.title (題名) | 壽命分佈函數族與更新過程 | zh_TW |
| dc.title (題名) | Classes of life distributions and renewal counting process | en_US |
| dc.type (資料類型) | thesis | en_US |
| dc.relation.reference (參考文獻) | Barlow, R. E. and Proschan, F. (1964) Comparison of replacement policies, and renewal theory implications. Ann. Math. Statist. 35,577-589. Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Life Testing: Probability Models, 2nd edn. To Begin With, Silver Springs, MD. Brown, M. (1980) Bounds, inequalities, and monotonicity properties for some specialized renewal processes. Ann. Probab. 8, 227-240. Karlin, S. and Taylor, H. M. (1975) A First Course in Stochastic Processes, 2nd edn. Academic Press, New York. Lau, K. S. and Rao, B. L. C. P. (1990) Characterization of the exponential distribution by the relevation transform. J. Appl. Probab. 27, 726-729. Marshall, A. W. and Proschan, F. (1972) Classes of distributions applicable in replacement with renewal theory implication. Proc. 6th Berkley Symp. Math. Statist. Probab. 1, 395-415. Shaked, M. and Zhu, H. (1992) Some results on block replacement policies and renewal theory. J. Appl. Probab. 29, 932-946. | zh_TW |
