Statistical Theory and Related Fields最新文献_第7页

Asymptotic properties of a nonparametric conditional density estimator in the local linear estimation for functional data via a functional single-index model 非参数条件密度估计量在泛函单指标模型的局部线性估计中的渐近性质

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Statistical Theory and Related Fields Pub Date : 2021-09-02 DOI: 10.1080/24754269.2021.1965945

Fadila Benaissa, Abdelmalek Gagui, Abdelhak Chouaf

引用次数: 0

Empirical likelihood inference and goodness-of-fit test for logistic regression model under two-phase case-control sampling 两阶段病例对照抽样下logistic回归模型的经验似然推断和拟合优度检验

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Statistical Theory and Related Fields Pub Date : 2021-07-08 DOI: 10.1080/24754269.2021.1946373

Z. Sheng, Yukun Liu, J. Qin

引用次数: 0

Bayesian analysis for quantile smoothing spline 分位数平滑样条的贝叶斯分析

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Statistical Theory and Related Fields Pub Date : 2021-07-06 DOI: 10.1080/24754269.2021.1946372

Zhongheng Cai, Dongchu Sun

{"title":"Bayesian analysis for quantile smoothing spline","authors":"Zhongheng Cai, Dongchu Sun","doi":"10.1080/24754269.2021.1946372","DOIUrl":"https://doi.org/10.1080/24754269.2021.1946372","url":null,"abstract":"In Bayesian quantile smoothing spline [Thompson, P., Cai, Y., Moyeed, R., Reeve, D., & Stander, J. (2010). Bayesian nonparametric quantile regression using splines. Computational Statistics and Data Analysis, 54, 1138–1150.], a fixed-scale parameter in the asymmetric Laplace likelihood tends to result in misleading fitted curves. To solve this problem, we propose a new Bayesian quantile smoothing spline (NBQSS), which considers a random scale parameter. To begin with, we justify its objective prior options by establishing one sufficient and one necessary condition of the posterior propriety under two classes of general priors including the invariant prior for the scale component. We then develop partially collapsed Gibbs sampling to facilitate the computation. Out of a practical concern, we extend the theoretical results to NBQSS with unobserved knots. Finally, simulation studies and two real data analyses reveal three main findings. Firstly, NBQSS usually outperforms other competing curve fitting methods. Secondly, NBQSS considering unobserved knots behaves better than the NBQSS without unobserved knots in terms of estimation accuracy and precision. Thirdly, NBQSS is robust to possible outliers and could provide accurate estimation.","PeriodicalId":22070,"journal":{"name":"Statistical Theory and Related Fields","volume":"5 1","pages":"346 - 364"},"PeriodicalIF":0.5,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/24754269.2021.1946372","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44589463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Editorial Foreword 编辑前言

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Statistical Theory and Related Fields Pub Date : 2021-07-03 DOI: 10.1080/24754269.2021.1963398

Jun Shao, Yincai Tang

引用次数: 0

A new exact p-value approach for testing variance homogeneity 检验方差齐性的精确p值新方法

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Statistical Theory and Related Fields Pub Date : 2021-04-22 DOI: 10.1080/24754269.2021.1907519

Juan Wang, Xinmin Li, Huasu Liang

引用次数: 1

Empirical likelihood inference in autoregressive models with time-varying variances 时变方差自回归模型中的经验似然推理

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Statistical Theory and Related Fields Pub Date : 2021-04-22 DOI: 10.1080/24754269.2021.1913977

Yu Han, Chunming Zhang

引用次数: 1

Sample size and power analysis for stepped wedge cluster randomised trials with binary outcomes 二元结果阶梯楔形聚类随机试验的样本量和功效分析

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Statistical Theory and Related Fields Pub Date : 2021-04-03 DOI: 10.1080/24754269.2021.1904094

Jijia Wang, Jing Cao, Song Zhang, C. Ahn

{"title":"Sample size and power analysis for stepped wedge cluster randomised trials with binary outcomes","authors":"Jijia Wang, Jing Cao, Song Zhang, C. Ahn","doi":"10.1080/24754269.2021.1904094","DOIUrl":"https://doi.org/10.1080/24754269.2021.1904094","url":null,"abstract":"In stepped wedge cluster randomised trials (SW-CRTs), clusters of subjects are randomly assigned to sequences, where they receive a specific order of treatments. Compared to conventional cluster randomised studies, one unique feature of SW-CRTs is that all clusters start from control and gradually transition to intervention according to the randomly assigned sequences. This feature mitigates the ethical concern of withholding an effective treatment and reduces the logistic burden of implementing the intervention at multiple clusters simultaneously. This feature, however, presents challenges that need to be addressed in experimental design and data analysis, i.e., missing data due to prolonged follow-up and complicated correlation structures that involve between-subject and longitudinal correlations. In this study, based on the generalised estimating equation (GEE) approach, we present a closed-form sample size formula for SW-CRTs with a binary outcome, which offers great flexibility to account for unbalanced randomisation, missing data, and arbitrary correlation structures. We also present a correction approach to address the issue of under-estimated variance by GEE estimator when the sample size is small. Simulation studies and application to a real clinical trial are presented.","PeriodicalId":22070,"journal":{"name":"Statistical Theory and Related Fields","volume":"5 1","pages":"162 - 169"},"PeriodicalIF":0.5,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/24754269.2021.1904094","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42073527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Combinatorial testing: using blocking to assign test cases for validating complex software systems 组合测试:使用块来分配测试用例，以验证复杂的软件系统

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Statistical Theory and Related Fields Pub Date : 2021-04-03 DOI: 10.1080/24754269.2021.1904095

R. Lekivetz, Joseph Morgan

引用次数: 0

Robust sequential design for piecewise-stationary multi-armed bandit problem in the presence of outliers 存在异常值的分段平稳多臂盗匪问题的鲁棒序列设计

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Statistical Theory and Related Fields Pub Date : 2021-04-03 DOI: 10.1080/24754269.2021.1902687

Yaping Wang, Zhicheng Peng, Riquan Zhang, Qian Xiao

{"title":"Robust sequential design for piecewise-stationary multi-armed bandit problem in the presence of outliers","authors":"Yaping Wang, Zhicheng Peng, Riquan Zhang, Qian Xiao","doi":"10.1080/24754269.2021.1902687","DOIUrl":"https://doi.org/10.1080/24754269.2021.1902687","url":null,"abstract":"ABSTRACT The multi-armed bandit (MAB) problem studies the sequential decision making in the presence of uncertainty and partial feedback on rewards. Its name comes from imagining a gambler at a row of slot machines who needs to decide the best strategy on the number of times as well as the orders to play each machine. It is a classic reinforcement learning problem which is fundamental to many online learning problems. In many practical applications of the MAB, the reward distributions may change at unknown time steps and the outliers (extreme rewards) often exist. Current sequential design strategies may struggle in such cases, as they tend to infer additional change points to fit the outliers. In this paper, we propose a robust change-detection upper confidence bound (RCD-UCB) algorithm which can distinguish the real change points from the outliers in piecewise-stationary MAB settings. We show that the proposed RCD-UCB algorithm can achieve a nearly optimal regret bound on the order of , where T is the number of time steps, K is the number of arms and S is the number of stationary segments. We demonstrate its superior performance compared to some state-of-the-art algorithms in both simulation experiments and real data analysis. (See https://github.com/woaishufenke/MAB_STRF.git for the codes used in this paper.)","PeriodicalId":22070,"journal":{"name":"Statistical Theory and Related Fields","volume":"5 1","pages":"122 - 133"},"PeriodicalIF":0.5,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/24754269.2021.1902687","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46146259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

A prediction-oriented optimal design for visualisation recommender systems 面向预测的可视化推荐系统优化设计

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Statistical Theory and Related Fields Pub Date : 2021-03-30 DOI: 10.1080/24754269.2021.1905376

Yingyan Zeng, Xinwei Deng, Xiaoyu Chen, R. Jin

{"title":"A prediction-oriented optimal design for visualisation recommender systems","authors":"Yingyan Zeng, Xinwei Deng, Xiaoyu Chen, R. Jin","doi":"10.1080/24754269.2021.1905376","DOIUrl":"https://doi.org/10.1080/24754269.2021.1905376","url":null,"abstract":"A good visualisation method can greatly enhance human-machine collaboration in target contexts. To aid the optimal selection of visualisations for users, visualisation recommender systems have been developed to provide the right visualisation method to the right person given specific contexts. A visualisation recommender system often relies on a user study to collect data and conduct analysis to provide personalised recommendations. However, a user study without employing an effective experimental design is typically expensive in terms of time and cost. In this work, we propose a prediction-oriented optimal design to determine the user-task allocation in the user study for the recommendation of visualisation methods. The proposed optimal design will not only encourage the learning of the similarity embedded in the recommendation responses (i.e., users' preference), but also improve the modelling accuracy of the similarities captured by the covariates of contexts (i.e., task attributes). A simulation study and a real-data case study are used to evaluate the proposed optimal design.","PeriodicalId":22070,"journal":{"name":"Statistical Theory and Related Fields","volume":"5 1","pages":"134 - 148"},"PeriodicalIF":0.5,"publicationDate":"2021-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/24754269.2021.1905376","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47541518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2