Mathematical Sciences: Estimation of a Distribution or Survival Function

数学科学：分布或生存函数的估计

• 批准号: 9001194
• 负责人: Qiqing Yu
• 金额: $ 3.32万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-15 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001194&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Estimation; Distribution; Survival

Research will be conducted on statistical nonparametric estimation problems about survival functions and distribution functions. Minimax estimators will be obtained for a range of loss functions for an unknown survival function in the presence of right-censored data. The loss functions include Cramer-von Mises type loss functions whose weights are Beta densities. The admissibility of the best invariant estimator of a distribution function will be examined under a similar class of loss functions. Corresponding questions will be examined for the case of Kolmogorov-Smirnov loss functions.

将对统计非参数进行研究 生存函数和分布的估计问题 功能协调发展的极小极大估计量将获得的范围 未知生存函数的损失函数 右删失数据损失函数包括Cramer-von Mises型损失函数，其权重为Beta密度。的 分布的最佳不变估计的容许性 函数将在类似的损失类别下进行检查 功能协调发展的将针对该案件审查相应的问题 Kolmogorov-Smirnov损失函数