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頁籤選單縮合
題 名 | A Bivariate Limiting Distribution of Tumor Latency Time=癌症潛伏期之二維極限分配 |
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作 者 | 吳菊芳; | 書刊名 | 南臺工商專校學報 |
卷 期 | 20 1994.11[民83.11] |
頁 次 | 頁61-68 |
分類號 | 412.41 |
關鍵詞 | 極值理論; 弱收斂; Marshall-olkin分配; Weibull分配; Extreme theory; Weak convergence; Marshall-olkin distribution; Weibull distribution; |
語 文 | 英文(English) |
中文摘要 | Klebanov等人之著作利用極限分配來闡明高劑量之照射導致癌症之潛伏期的分配 ,此種分配乃緣起於隨機極小之架構,Weibull 分配即為一例。這個模式並不能拓展到多維 之狀態。而在這篇文章中,自然產生了二維之模式叫做 Weibull-Marskall-Olkin 分配。同 理將負二項分配應用下可產生 Pareto-Marshall-Olkin 分配。 |
英文摘要 | The model of radiation carcinogenesis, proposed earlier by Klebanov, Rachev and Yakovlev (Math. Biosci. 113: 51-75, 1993), substantiates the employment of limiting forms of the latent time distribution at high dose values. Such distributions arise within the random minima framework, the two-parameter Weibull distribution being a special case. This model, in its present form, does not allow for carcinogenesis at multiple sites. As shown in the present paper, a natural two-dimensional generalization of the model appears in the form of a Weibull-Marshall-Olkin distribution. Similarly, the study of a randomized version of the model based on the negative binominal minima scheme results in a bivariate Pareto-Marshall-Olkin distribution. |
本系統中英文摘要資訊取自各篇刊載內容。