Runs and patterns with applications

应用程序的运行和模式

• 批准号: 239730-2006
• 负责人: Lou, WenYiWendy
• 金额: $ 1.31万
• 依托单位: University of Toronto
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2007
• 资助国家: 加拿大
• 起止时间: 2007-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=365504
• 关键词: Runs; patterns; applications

The proposed research program is a continuation of the applicant's current research on the distribution theory of runs and patterns, and on its applications to biomedical research. In general, both long- and short-term objectives are to develop theoretical foundations for various commonly used statistics that are based on runs and patterns, and to use the developed theory for statistical inference in practical applications. The specific aims for the proposed funding period include: (i) deriving the exact distribution for the length of the longest common subsequence (LCS) among two multi-state biological sequences, (ii) developing a run-length model for monitoring emergency room (ER) waiting times, and (iii) extending the applicant's previous work on compound patterns in multi-state trials under non-overlap counting to study the asymptotic properties of large samples.

拟议的研究计划是申请人目前对运行和模式的分布理论及其在生物医学研究中的应用的研究的延续。一般来说，长期和短期目标都是为基于运行和模式的各种常用统计数据建立理论基础，并在实际应用中使用已开发的理论进行统计推断。拟议供资期的具体目标包括：（i）导出两个多态生物序列之间的最长公共子序列（LCS）的长度的精确分布，（ii）开发用于监测急诊室（ER）等待时间的游程长度模型，及（iii）扩展申请人先前在非美国法律管辖下的多州试验中关于化合物模式的工作。重叠计数研究大样本的渐近性质。