Reliability, Statistical Applications of Order Restricted Methods

阶次限制方法的可靠性、统计应用

• 批准号: 9704400
• 负责人: Henry Block
• 金额: $ 27.57万
• 依托单位: University of Pittsburgh
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-07-01 至 2001-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9704400&HistoricalAwards=false
• 关键词: Reliability; Statistical; Applications; Order; Restricted

Block, Sampson and Savits 9704400 This research focuses on the development of methodology and theory for some major problems facing the statistics and reliability communities. One major emphasis is on the topic of burn-in. On-going research involves determining optimal burn-in for classes of distributions and families of cost structures. Of particular interest is the family of distributions with bathtub shaped hazard functions. A second major emphasis of this research is in the development of methods to support the use of the modern nonparametric ideas of order restricted inference in data analysis involving multivariate observations. A great deal of theory has been developed for order restricted inference; however, the research focus here is to utilize some of these results in important estimation and testing problems, in part, supported by the application of some of the computational results obtained by the investigators. This research makes effective use of this elegant class of nonparametric procedures in modern data analysis. Two other areas of research are the further development of models and methodologies for data arising from accelerated degradation experiments, and the continued development of the modeling of random length multivariate data. These four research areas, while dealing with varied problems, utilize theory and methods from the allied areas of reliability, order restricted inference and multivariate analysis. Burn-in is a widely used engineering practice for increasing reliability by eliminating weak industrial products before they are released for sale or use. This is an important topic in many modern American industrial processes. Statistical tools are being developed to implement new production strategies which are useful in determining how to deal with items which might fail early in critical uses. The clinical development of cost-effective new bioengineered pharmaceuticals often requires identification of those patients who would b enefit substantially more from new biopharmaceuticals than from standard available treatments. Some of this research focuses on developing improved statistical techniques to better identify those patients who would significantly benefit from the new biotechnology. Other aspects of the research involve obtaining more effective statistical approaches to allow clinicians to predict the likelihood of specific patients having a successsful response to a new treatment.

Block，Sampson & Savits 9704400 本研究的重点是发展的方法和理论的一些主要问题所面临的统计和可靠性社区。一个主要的重点是在老化的主题。正在进行的研究涉及确定最佳老化的分布和家庭的成本结构类。特别令人感兴趣的是家庭的分布浴缸形危险函数。 本研究的第二个主要重点是在发展的方法，以支持使用现代非参数的顺序限制推理的想法，涉及多变量观测数据分析。大量的理论已经开发了顺序限制推理，然而，这里的研究重点是利用这些结果中的一些重要的估计和测试问题，部分支持的应用程序的一些计算结果所获得的调查。这项研究使 在现代数据分析中有效使用这类优雅的非参数程序。 另外两个研究领域是进一步开发加速降解实验数据的模型和方法，以及继续开发随机长度多变量数据的建模。这四个研究领域在处理不同问题的同时，利用了可靠性、顺序限制推理和多元分析等相关领域的理论和方法。 老化是一种广泛使用的工程实践，通过在工业产品发布用于销售或使用之前消除薄弱的工业产品来提高可靠性。这是许多现代美国工业过程中的一个重要主题。目前正在开发统计工具，以执行新的生产战略，这些战略有助于确定如何处理在关键用途中可能过早失效的物品。 具有成本效益的新型生物工程药物的临床开发通常需要识别那些从新的生物药物中获得比标准可用治疗更多的B的患者。其中一些研究侧重于开发改进的统计技术，以更好地识别那些将从新生物技术中显著受益的患者。 研究的其他方面涉及获得更有效的统计方法，以允许临床医生预测特定患者对新治疗成功反应的可能性。