New Developments on Confidence Distributions (CDs) and Statistical Inference: Theory, Methodology and Applications
置信分布(CD)和统计推断的新进展:理论、方法和应用
基本信息
- 批准号:1107012
- 负责人:
- 金额:$ 17.91万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2011
- 资助国家:美国
- 起止时间:2011-09-01 至 2016-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Basic statistical methods, such as point estimators, confidence intervals and p-values, are common inferential tools for analyzing information and data. Confidence distribution (CD), also known as a "distribution estimator," contains a wealth of information and is a useful device for constructing all types of frequentists' statistical inferences. Some recent developments have highlighted promising potentials of the CD concept as an effective inferential tool. As an emerging new field of research, there are many important topics and interesting questions yet to be answered. The proposed research addresses several issues related to the theoretical framework of CD inference, and provides useful inference tools for a number of problems where frequentist methods with good properties were previously unavailable or difficult to obtain. Specifically, it proposes to: 1) Develop a general and new framework for resampling, utilizing a concept called CD random variables, and investigate theoretical issues related to the development. This resampling approach can be considered as an extension of the well-studied and widely-applied bootstrap methods, albeit one which is much broader. 2) Develop a new and effective meta-analysis approach to combine CDs of multivariate parameters. This development not only provides solutions to several existing problems in conventional meta-analysis, but also is extended to form a "split and conquer" strategy, with supporting asymptotic theory, which has potential applications in mining data of huge size and large dimensions. 3) Develop and generalize the theoretical framework for CD inference including: developing an exact CD concept and inference procedure for small samples from discrete distributions, and introducing a CD probability measure for infinite dimensional parameters (processes) and exploring its applications in survival analysis and growth curve models. Advanced data acquisition and storage technologies have made it easy for gathering of data and information. The demand for effective statistical inference methods for processing and analyzing those information and data has never been greater. The proposal addresses several fundamental theoretical issues in statistical inference as well as a set of important practical problems arising from various disciplines. Advances in statistical theory and methodological developments are key aspects of the proposed activities. These advances not only solve the specific set of problems set forth in this proposal, but also bring about new perspectives to frequentist, fiducial and Bayesian approaches. Progress from this proposal should further advance theory of statistical inference and development of statistical methodology. It can also facilitate many applications in a variety of fields, including medical research, agriculture, industry, decision making, among others. The proposed research activities are also ideal for engaging student participation and training. Through these projects, students can acquire hands-on experience with real life problems. Such training is essential for them to become effective statisticians in the future.
基本的统计方法,如点估计,置信区间和p值,是分析信息和数据的常用推理工具。置信分布(CD),也被称为“分布估计量”,包含了丰富的信息,是构建所有类型的频率论者统计推断的有用工具。最近的一些发展突出了CD概念作为一种有效的推理工具的潜力。作为一个新兴的研究领域,有许多重要的主题和有趣的问题尚未得到回答。建议的研究解决了几个问题,CD推理的理论框架,并提供了有用的推理工具的一些问题,其中具有良好性能的频率论方法以前不可用或难以获得。具体来说,它建议:1)利用CD随机变量的概念,开发一个通用的新框架,并研究与开发相关的理论问题。这种方法可以被认为是一个扩展的良好的研究和广泛应用的引导方法,虽然这是一个更广泛的。2)开发一种新的有效的荟萃分析方法,以联合收割机CD的多变量参数。这一发展不仅解决了传统元分析中存在的一些问题,而且在渐近理论的支持下,扩展形成了一种“分裂与征服”的策略,在大规模、大维度数据挖掘中具有潜在的应用价值。3)发展和推广CD推断的理论框架,包括:发展精确的CD概念和离散分布小样本的推断过程,并引入无限维参数(过程)的CD概率测度,并探索其在生存分析和生长曲线模型中的应用。先进的数据采集和存储技术使数据和信息的收集变得容易。对处理和分析这些信息和数据的有效统计推断方法的需求从未如此之大。该提案解决了统计推断中的几个基本理论问题以及来自各个学科的一系列重要实际问题。统计理论的进步和方法的发展是拟议活动的关键方面。这些进步不仅解决了本提案中提出的一系列具体问题,而且为频率论、基准论和贝叶斯方法带来了新的视角。这一建议的进展将进一步推进统计推断理论和统计方法的发展。它还可以促进各种领域的许多应用,包括医学研究,农业,工业,决策等。拟议的研究活动也是吸引学生参与和培训的理想选择。通过这些项目,学生可以获得与真实的生活问题的实践经验。这种培训对于他们今后成为有效的统计人员至关重要。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Minge Xie其他文献
Additive effects among uterine paracrine factors in promoting bovine trophoblast cell proliferation
子宫旁分泌因子促进牛滋养层细胞增殖的叠加作用
- DOI:
- 发表时间:
2014 - 期刊:
- 影响因子:0
- 作者:
Minge Xie - 通讯作者:
Minge Xie
Impact of measurement error on container inspection policies at port-of-entry
- DOI:
10.1007/s10479-010-0681-6 - 发表时间:
2010-01-27 - 期刊:
- 影响因子:4.500
- 作者:
Yada Zhu;Mingyu Li;Christina M. Young;Minge Xie;Elsayed A. Elsayed - 通讯作者:
Elsayed A. Elsayed
Utility of the Activity Measure for Post-Acute Care (AM-PAC) as a Measure of Functional Recovery Across the TBI Rehabilitation Continuum
急性后期照护活动量表(AM - PAC)在创伤性脑损伤康复连续过程中作为功能恢复衡量指标的效用
- DOI:
10.1016/j.apmr.2025.01.371 - 发表时间:
2025-04-01 - 期刊:
- 影响因子:3.700
- 作者:
Monique Tremaine;Hayk Petrosyan;Minge Xie;Onrina Chandra;Shelby Hinchman - 通讯作者:
Shelby Hinchman
Minge Xie的其他文献
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{{ truncateString('Minge Xie', 18)}}的其他基金
Unravel machine learning blackboxes -- A general, effective and performance-guaranteed statistical framework for complex and irregular inference problems in data science
揭开机器学习黑匣子——针对数据科学中复杂和不规则推理问题的通用、有效和性能有保证的统计框架
- 批准号:
2311064 - 财政年份:2023
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
ATD: Anomaly Detection with Confidence and Precision
ATD:充满信心且精确的异常检测
- 批准号:
2027855 - 财政年份:2020
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
Repro Sampling Method: A Transformative Artificial-Sample-Based Inferential Framework with Applications to Discrete Parameter, High-Dimensional Data, and Rare Events Inferences
再现采样方法:一种基于人工样本的变革性推理框架,应用于离散参数、高维数据和稀有事件推理
- 批准号:
2015373 - 财政年份:2020
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
Confidence Distribution (CD) and Efficient Approaches for Combining Inferences from Massive Complex Data
置信分布 (CD) 和结合海量复杂数据推论的有效方法
- 批准号:
1513483 - 财政年份:2015
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
Conference on Advanced Statistical Methods for Underground Seismic Event Monitoring and Verification
地下地震事件监测与验证先进统计方法会议
- 批准号:
1309312 - 财政年份:2013
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$ 17.91万 - 项目类别:
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An Effective Methodology for Combining Information from Independent Sources with Applications to Social and Behavioral Sciences and Medical Research
将独立来源的信息与社会和行为科学以及医学研究的应用相结合的有效方法
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0851521 - 财政年份:2009
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ATD:使用移动传感器进行核材料监测的统计方法
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0915139 - 财政年份:2009
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$ 17.91万 - 项目类别:
Continuing Grant
New Developments in Longitudinal and Heterogeneous Data Analysis with Applications to the Social and Behavioral Sciences
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0241859 - 财政年份:2003
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
Messy Data Modeling and Related Topics
凌乱数据建模及相关主题
- 批准号:
9803273 - 财政年份:1998
- 资助金额:
$ 17.91万 - 项目类别:
Standard Grant
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