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Hypothesis Testing with Paired partly Interval Censored Data

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Acta Mathematicae Applicatae Sinica 2019年第3期35卷 541-548页

作者： Ding-jiao CAI Bo LU Xing-wei TONG School of Mathematics and Information Science Henan University of Economics and LawZhengzhou 450046China Division of Biostatistics College of Public HealthOhio State UniversityColumbusOhio43210U.S.A School of Statistics Beijing Normal UniversityBeijing 100875China

partly interval censored data frequently occur in many areas including clinical trials,epidemiology research,and medical follow-up *** data come from observational studies,we need to carefully adjust for the confounding bias in order to estimate the true treatment *** matching designs are popular for removing confounding bias without parametric *** time-to-event outcomes,there are some literature for hypothesis testing with paired right censored data,but not for interval censored data.O’Brien and Fleming extended the Prentice Wilcoxon test to right censored paired data by making use of the PrenticeWilcoxon *** proposed the Akritas test and established its asymptotic *** extend Akritas test to partly interval censored *** estimate the survival distribution function by nonparametric maximum likelihood estimation(NPMLE),and prove the asymptotic validity of the new *** improve our test under small sample size or extreme distributions,we also propose a modified version using the rank of the score *** results indicate that our proposed methods have very good performance.

关键词： partly interval censored data nonparametric maximum likelihood estimation Wilcoxon signed rank test

Convergence rates of MLE in a partly linear model

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Science China Mathematics 2002年第11期45卷 1398-1407页

作者：薛宏旗 Department of Mathematics Graduate School Chinese Academy of Sciences Beijing China

This paper considers the estimation for a partly linear model with case 1 interval censored *** assume that the error distribution belongs to a known family of scale distributions with an unknown scaleparameter. The sieve maximum likelihood estimator (MLE) for the model's parameter is shown to be stronglyconsistent, and the convergence rate of the estimator is obtained and discussed.

关键词： partly linear model, case 1 interval censored data, sieve MLE, strong consistency,convergence rate.

ASYMPTOTICS OF THE “MINIMUM L_1-NORM”ESTIMATES IN A partly LINEAR MODEL

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Systems Science and Mathematical Sciences 1994年第1期7卷 67-77页

作者： SHI Peide LI Guoying(Institute of Systems Science, Academia Sinica, Beijing 100080, China) 中科院系统科学所北京

ＡＳＹＭＰＴＯＴＩＣＳＯＦＴＨＥ“ＭＩＮＩＭＵＭＬ＿１－ＮＯＲＭ”ＥＳＴＩＭＡＴＥＳＩＮＡＰＡＲＴＬＹＬＩＮＥＡＲＭＯＤＥＬ￥ＳＨＩＰｅｉｄｅ；ＬＩＧｕｏｙｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，... 详细信息

ＡＳＹＭＰＴＯＴＩＣＳＯＦＴＨＥ“ＭＩＮＩＭＵＭＬ＿１－ＮＯＲＭ”ＥＳＴＩＭＡＴＥＳＩＮＡＰＡＲＴＬＹＬＩＮＥＡＲＭＯＤＥＬ￥ＳＨＩＰｅｉｄｅ；ＬＩＧｕｏｙｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅ...

关键词： partly linear model global rate of convergence piecewise polynomial, L1-norm estimates.

SECOND　ORDER　ASYMPTOTIC　EFFICIENCY　IN　A　partly　AUTOREGRESSIVE　MODEL

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Systems Science and Mathematical Sciences 1996年第2期9卷 164-170页

作者： LIANG Hua(Institute of Systems Science, Academia Silica, Beijing 100080, China) 中科院系统科学所北京

ＳＥＣＯＮＤＯＲＤＥＲＡＳＹＭＰＴＯＴＩＣＥＦＦＩＣＩＥＮＣＹＩＮＡＰＡＲＴＬＹＡＵＴＯＲＥＧＲＥＳＳＩＶＥＭＯＤＥＬＬＩＡＮＧＨｕａ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｌｉｃａ... 详细信息

ＳＥＣＯＮＤＯＲＤＥＲＡＳＹＭＰＴＯＴＩＣＥＦＦＩＣＩＥＮＣＹＩＮＡＰＡＲＴＬＹＡＵＴＯＲＥＧＲＥＳＳＩＶＥＭＯＤＥＬＬＩＡＮＧＨｕａ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｌｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈ...

关键词：篠econd order asymptotic efficiency partly autoregressive model piecewisepolynomial.

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partly与Partially用法译评

中国翻译 2001年第6期23卷 60-61页

作者：吴国良浙江大学宁波理工学院浙江宁波315016

传统英语注意到了part的两种副词形式partly与partially存在着一定的用法差异,但大都轻描谈写,缺乏深层次的分析.本文拟从语义学的角度,就它们的形式与语义作用进行译评.

关键词： partly 语法 Partially 语义英语翻译方法

皮克斯动画短片创意分析——以《partly Cloudy》为例

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青年记者 2010年第5Z期 58-59页

作者：秦建波刘燕王辉聊城大学传媒技术学院

皮克斯动画工作室(Pixar Animation Studios)简称皮克斯,这个总部坐落于美国加利福尼亚州爱莫利维尔市的动画制作公司于1986年成立,一直致力于制作优秀的三维电脑动画作品。

关键词：皮克斯 partly Cloudy 动画短片动画作品电脑动画 Animation 加利福尼亚州

Sieve M-estimation for semiparametric varying-coefficient partially linear regression model

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Science China Mathematics 2010年第8期53卷 1995-2010页

作者： HU Tao 1,2 & CUI HengJian 1,2 1 School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China 2 School of Mathematical Sciences,Capital Normal University,Beijing 100048,China School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing China School of Mathematical Sciences Capital Normal University Beijing China

This article considers a semiparametric varying-coefficient partially linear regression *** semiparametric varying-coefficient partially linear regression model which is a generalization of the partially linear regression model and varying-coefficient regression model that allows one to explore the possibly nonlinear effect of a certain covariate on the response variable.A sieve M-estimation method is proposed and the asymptotic properties of the proposed estimators are *** main object is to estimate the nonparametric component and the unknown parameters *** is easier to compute and the required computation burden is much less than the existing two-stage estimation ***,the sieve M-estimation is robust in the presence of outliers if we choose appropriate ρ(·).Under some mild conditions,the estimators are shown to be strongly consistent;the convergence rate of the estimator for the unknown nonparametric component is obtained and the estimator for the unknown parameter is shown to be asymptotically normally *** experiments are carried out to investigate the performance of the proposed method.

关键词： partly linear model varying-coefficient robustness optimal convergence rate asymptotic normality

On a Conjecture of Hayman

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Acta Mathematica Sinica,English Series 1991年第2期7卷 119-126页

作者：华歆厚庄圻泰 Department of Mathematics Peking University

Let f(z) be a transcendental meromorphic function in the plane. Hayman conjecturedthat ff’ assumes all finite values except possibly zero infinitely many times. In this paper, we solve thisconjecture partly.

关键词： infinitely possibly partly nonzero integer inequality Chuang 解口 deduce noting

A Note on the Interior Operator of Induced Spaces

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Chinese Science Bulletin 1993年第5期38卷 437-438页

作者：王戈平 Department of Mathematics Xuzhou Teachers' College Xuzhou 221009 PRC

We characterized in Theorem 3.4 of [1] the closure and interior operators of induced spaces introduced by Lowen. The author of [2] proposed an open problem: Can Theorem 3.4 in [1] be generalized to lattice value induced spaces? As a main result of [3] the problem was partly solved as: Theorem. Let (L^x, ω(τ)) be an induced space generated by a crisp topology τ.

关键词： Operator operators closure interior topology crisp partly argument analogous letter