Unification of three-type likelihood-inferences and its application development in Cox-type counting processes model under incomplete data

三类似然推理的统一及其在不完全数据下Cox型计数过程模型中的应用开发

• 批准号: 23700336
• 负责人: SUGIMOTO Tomoyuki
• 金额: $ 2.16万
• 依托单位: Hirosaki University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23700336/
• 关键词: 統計的推測; 統計数学; データ分析; 生存時間解析; 統計解析; 点過程論; 事象時間データ; 計数過程; データ解析; 漸近論; 生存解析; 確率過程; Cox回帰; 離散確率過程論; 統計モデル

In this research, we studied the statistical inference theory and statistical methods outstanding in several situations accompanied with incomplete data, in order to create further useful applications and developments of the Cox regression models, which are often used as a tool for data analysis to evaluate the effect of patient's treatment or prognosis factors statistically in the area of clinical medicine, and so on. We investigated the properties and roles on the three types of partial likelihoods, and their relationships to elucidate them in terms of theory and applications.

本研究对不完全数据情况下的统计推断理论和统计方法进行了研究，以期对临床医学中常用的数据分析工具--考克斯回归模型进行进一步的应用和发展，对患者的治疗效果或预后因素进行统计学评价。研究了这三种偏似然的性质、作用以及它们之间的关系，从理论和应用上阐明了这三种偏似然。

项目成果

Sample size determination in group sequential trials with two co-primary endpoints

具有两个共同主要终点的分组序贯试验中样本量的确定

• 发表时间: 2012
• 作者: Asakura;K.;Hayashi;K.;Sozu;T.;Sugimoto;T. and Hamasaki;T.
• 通讯作者: T.

Sample Size Determination in Superiority Clinical Trials with Multiple Co-Primary Correlated Endpoints

• DOI: 10.1080/10543406.2011.551329
• 发表时间: 2011-01-01
• 期刊: JOURNAL OF BIOPHARMACEUTICAL STATISTICS
• 影响因子: 1.1
• 作者: Sozu, Takashi;Sugimoto, Tomoyuki;Hamasaki, Toshimitsu
• 通讯作者: Hamasaki, Toshimitsu

A Wald-type variance estimation for the nonparametric distribution estimators for doubly censored data

双删失数据非参数分布估计的 Wald 型方差估计

• DOI: 10.1007/s10463-009-0251-3
• 发表时间: 2011
• 期刊: Annals of the Institute of Statistical Mathematics
• 影响因子: 1
• 作者: Sugimoto;T
• 通讯作者: T

Semiparametric maximum likelihood estimation for relative survival rate

相对生存率的半参数最大似然估计

• 发表时间: 2013
• 作者: Komukai S.;Sugimoto T.;Hattori S. & Ito Y
• 通讯作者: Hattori S. & Ito Y

Asymptotic distribution of the nonparametric distribution estimator based on a martingale approach in doubly censored data

双删失数据中基于鞅方法的非参数分布估计量的渐近分布

• DOI: 10.1007/s10463-012-0395-4
• 发表时间: 2013
• 期刊: Annals of the Institute of Statistical Mathematics
• 影响因子: 1
• 作者: Sugimoto;T
• 通讯作者: T