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Estimation for the size of fragile population in the trunsored and truncated models with application to the confidence interval for the case fatality ratio of SARS
http://hdl.handle.net/10228/2338
http://hdl.handle.net/10228/23384d9e5962-f62f-40c1-8586-448d7e8ffe64
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
1343-4500_12-1_p33.pdf (550.9 kB)
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| Item type | 学術雑誌論文 = Journal Article(1) | |||||
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| 公開日 | 2009-04-03 | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| タイトル | ||||||
| タイトル | Estimation for the size of fragile population in the trunsored and truncated models with application to the confidence interval for the case fatality ratio of SARS | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 著者 |
廣瀬, 英雄
× 廣瀬, 英雄 |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | A method to obtain the estimates for parameters and the size of fragile population with their confidence intervals in mixed populations of the fragile and durable samples, i.e., in the trunsored model, along with those in the truncated model, is introduced. The confidence intervals for the estimates in the trunsored model are compared with those in the truncated model. The maximum likelihood estimates for the parameters in the underlying probability distribution in both models are exactly the same when all the samples have the same censoring time, and consequently the confidence interval for the parameters are also the same. The estimate for the number of fragile samples in the trunsored model is the same as that in the truncated model when the failure data are the same; however, the confidence interval for it in the trunsored model differs from that in the truncated model. In the truncated model, the confidence interval for the fragile samples is affected by the fluctuation effect due to the censoring time and the parameters in the underlying probability distribution. In the trunsored model, however, the confidence interval is affected by two kinds of fluctuation effect: one is the same as in the truncated model, and the other is the extra parameter which corresponds to the ratio of the number of fragile samples to the total number of samples. When the censoring time becomes large, the width of the confidence interval in the truncated model tends to zero, whereas the confidence interval in the trunsored model tends to a positive constant value, which is corresponding to the binomial case. A typical example of the method applied to the case fatality ratio for the infectious diseases such as SARS shows different confidence intervals between the trunsored model and the truncated model. Using the truncated :model we may have the paradoxical case fatality ratio; using the trunsored model, however, we can obtain the reasonable estimate for it. This indicates that we have to be cautious in selecting the appropriate model when we deal with the incomplete data models. | |||||
| 書誌情報 |
Information 巻 12, 号 1, p. 33-50, 発行日 2009-01-01 |
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| 出版社 | ||||||
| 出版者 | International Information Institute | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 1343-4500 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 1344-8994 | |||||
| 著作権関連情報 | ||||||
| 権利情報 | ©2009 International Information Institute | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | trunsored data | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | truncated data | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | fragile | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | durable | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | confidence interval | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | case fatality ratio | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | SARS | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| 査読の有無 | ||||||
| 値 | yes | |||||
| 研究者情報 | ||||||
| URL | https://hyokadb02.jimu.kyutech.ac.jp/html/228_ja.html | |||||
| 連携ID | ||||||
| 値 | 562 | |||||
| 業績ID | ||||||
| 値 | E2D997B4F8CC03124925758D00348FEE | |||||
| 情報源 | ||||||
| 識別子タイプ | URI | |||||
| 関連識別子 | http://www.information-iii.org/ | |||||
| 関連名称 | http://www.information-iii.org/ | |||||
