张立新
概率极限理论、自适应设计
个性化签名
- 姓名:张立新
- 目前身份:
- 担任导师情况:
- 学位:
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学术头衔:
教育部“新世纪优秀人才支持计划”入选者, 博士生导师
- 职称:-
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学科领域:
数理统计学
- 研究兴趣:概率极限理论、自适应设计
张立新
博士,教授,博导
研究方向:概率极限理论、自适应设计
社会兼职:
中国现场统计研究会理事;中国概率统计学会理事;浙江省数学会理事;浙江省现场统计研究会副理事长。
学历:
1986年9月—1990年7月 天津职业技术师范学院(现改名为天津工程师范学院)数学系 本科 / 获学士学位
1990年9月—1992年12月 杭州大学数学系 硕士研究生 / 提前攻博
1993年2月—1995年7月 复旦大学统计与运筹系 博士研究生 / 获博士学位
工作经历:
1995年9月—1997年5月 杭州大学数学与信息科学系 博士后
1997年6月—1998年9月 杭州大学数学与信息科学系 教授
1998年9月—1999年7月 浙江大学数学系 教授
1999年7月—至今 浙江大学数学系 教授 / 博导
获奖情况:
科技进步奖:
1.林正炎、张立新、苏中根:“概率极限理论及其在Gauss过程轨道性质方面的应用”, 教育部科技进步奖 二等奖 (2003)
2.张立新、苏中根:“随机过程与向量值随机变量的一些经典极限定理”, 浙江省教委科技进步二等奖 (1996).
3.张立新“Gauss过程样本轨道的下极限性质”,浙江省教委科技进步二等奖 (1998).
4.苏中根、张立新:“弱收敛与强极限理论及其应用”, 浙江省教育厅科技进步三等奖 (2000).
荣誉奖:
5. 浙江江省第五界青少年英才奖二等奖 (1997).
6. 1999年入选“浙江省跨世纪学术和技术带头人”第二层次培养人员.
7. 2008年入选“教育部新世纪优秀人才支持计划”.
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主页访问
1700
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关注数
1
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成果阅读
918
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成果数
20
【期刊论文】EFFICIENT RANDOMIZED-ADAPTIVE DESIGNS
张立新, By Feifang Hu, Li-Xin Zhang and Xuming He
The Annals of Statistics 2009, Vol. 37, No. 5A, 2543-2560,-0001,():
-1年11月30日
Response-adaptive randomization has recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the Cramer–Rao lower bounds on the allocation variances for any allocation proportions, including optimal allocation proportions. The allocation probability functions of proposed procedures are discontinuous. The existing large sample theory for adaptive designs relies on Taylor expansions of the allocation probability functions, which do not apply to nondifferentiable cases. In the present paper, we study stopping times of stochastic processes to establish the asymptotic efficiency results. Furthermore, we demonstrate our proposal through examples, simulations and a discussion on the relationship with earlier works, including Efron's biased coin design.
Response-adaptive designs, biased coin design, clinical trial, urn model, doubly adaptive biased coin design, power.,
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33浏览
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【期刊论文】Asymptotic properties of nonparametric M-estimation for mixing functional data
张立新, Jia Chen*, Lixin Zhang
Journal of Statistical Planning and Inference 139(2009)533-546,-0001,():
-1年11月30日
We investigate the asymptotic behavior of a nonparametric M-estimator of a regression function for stationary dependent processes, where the explanatory variables take values in some abstract functional space. Under some regularity conditions, we give the weak and strong consistency of the estimator as well as its asymptotic normality. We also give two examples of functional processes that satisfy the mixing conditions assumed in this paper. Furthermore, a simulated example is presented to examine the finite sample performance of the proposed estimator.
α-Mixing, Asymptotic normality, Consistency, Functional data, Nonparametric, M-estimation
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40浏览
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张立新, Ke-Ang Fu*, Li-Xin Zhang
Fuzzy Sets and Systems 159(2008)3360-3368,-0001,():
-1年11月30日
In this paper we obtain some strong laws of large numbers (SLLNs) for arrays of rowwise independent (not necessary identically distributed) random compact sets and fuzzy random sets whose underlying spaces are separable Banach spaces.
Strong laws of large numbers (, SLLNs), , Random compact set, Fuzzy random set, Stochastically domination, Compact uniform integrability (, CUI),
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38浏览
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【期刊论文】Strong limit theorems for random sets and fuzzy random sets with slowly varying weights☆
张立新, Ke-ang Fu, Li-xin Zhang
Information Sciences 178(2008)2648-2660,-0001,():
-1年11月30日
Theories of random sets and fuzzy random sets are useful concepts which are frequently applied in scientific areas including information science, probability and statistics. In this paper strong limit theorems are derived for random sets and fuzzy random sets with slowly varying weights in separable Banach spaces. Both independent and dependent cases are covered to provide a wide range of applications.
Random set, Fuzzy random set, Slowly varying weights, Hausdorff distance, Dependence
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84浏览
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114下载
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【期刊论文】On a Robust Test for SETAR-Type Nonlinearity in Time Series Analysis
张立新, KING CHI HUNG, SIU HUNG CHEUNG, , WAI-SUM CHAN * AND LI-XIN ZHANG
J. Forecast. 28, 445-464(2009),-0001,():
-1年11月30日
There has been growing interest in exploiting potential forecast gains from the nonlinear structure of self-exciting threshold autoregressive (SETAR) models. Statistical tests have been proposed in the literature to help analysts check for the presence of SETAR-type nonlinearities in observed time series. However, previous studies show that classical nonlinearity tests are not robust to additive outliers. In practice, time series outliers are not uncommonly encountered. It is important to develop a more robust test for SETAR-type nonlinearity in time series analysis and forecasting. In this paper we propose a new robust nonlinearity test and the asymptotic null distribution of the test statistic is derived. A Monte Carlo experiment is carried out to compare the power of the proposed test with other existing tests under the infl uence of time series outliers. The effects of additive outliers on nonlinearity tests with misspecifi cation of the autoregressive order are also studied. The results indicate that the proposed method is preferable to the classical tests when the observations are contaminated with outliers. Finally, we provide illustrative examples by applying the statistical tests to three real datasets.
additive outliers, GM estimation, nonlinearity tests, robustness, threshold time series
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54浏览
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【期刊论文】Doubly adaptive biased coin designs with delayed responses
张立新, Feifang HU, Li-Xin ZHANG, Siu H.CHEUNG and Wai S.CHAN
The Canadian Journal of Statistics Vol. 36, No. 4, 2008, Pages 541-559,-0001,():
-1年11月30日
In clinical studies, patients are usually accrued sequentially. Response-adaptive designs are then useful tools for assigning treatments to incoming patients as a function of the treatment responses observed thus far. In this regard, doubly adaptive biased coin designs have advantageous properties under the assumption that their responses can be obtained immediately after testing. However, it is a common occurrence that responses are observed only after a certain period of time. The authors examine the effect of delayed responses on doubly adaptive biased coin designs and derive some of their asymptotic properties. It turns out that these designs are relatively insensitive to delayed responses under widely satisfied conditions. This is illustrated with a simulation study.
Adaptive design, asymptotic normality, biased coin design, clinical trial, responseadaptive design, strong consistency, variance estimation.,
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70浏览
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56下载
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【期刊论文】Temporal aggregation of equity return time-series models
张立新, W.S. Chan a, *, S.H. Cheung b, L.X. Zhang c, K.H. Wu b
Mathematics and Computers in Simulation 78(2008)172-180,-0001,():
-1年11月30日
With large volatility observed in stock markets around the world over the last few years, many actuaries are now being urged to employ stochastic models to measure the solvency risk generated from insurance products with equity-linked guarantees. There are a large number of potential stochastic models for equity returns. Insurance regulators, both in Europe and North America, normally do not restrict the use of any stochastic model that reasonably fits the historical baseline data. However, in the U.S. and Canada, the final model must be calibrated to some specified distribution percentiles. The emphasis of the calibration process remains on the tails of the equity return distribution over different holding periods. In this paper, we examine the effect of temporal aggregation on classes of stochastic equity return models that are commonly used in actuarial practice. The advantages of choosing a closed (under temporal aggregation) class of processes for modelling asset returns and equity-linked guarantees are discussed. Actuarial applications of temporal aggregation using S&P500 data are given.
Calibration points, Equity-linked guarantees, GARCH model, Log-stable distribution, S &, P 500 total returns
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71浏览
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【期刊论文】ASYMPTOTIC PROPERTIES OF COVARIATE-ADJUSTED ADAPTIVE DESIGNS
张立新, By Li-Xin Zhang , Feifang Hu , Siu Hung Cheung and Wai Sum Chan
,-0001,():
-1年11月30日
Response-adaptive designs have been extensively studied and used in clinical trials. However, there is a lack of a comprehensive study of response-adaptive designs that include covariates, despite their importance in clinical experiments. Because the allocation scheme and the estimation of parameters are affected by both the responses and the covariates, covariate-adjusted response-adaptive (CARA) designs are very complex to formulate. In this paper, we overcome the technical hurdles and lay out a framework for general CARA designs for the allocation of subjects to K(≥ 2) treatments. The asymptotic properties are studied under certain widely satisfied conditions. The proposed CARA designs can be applied to generalized linear models. Two important special cases, the linear model and the logistic regression model, are considered in detail.
Clinical trial, covariate information, adaptive designs, asymptotic normality
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39浏览
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【期刊论文】A GENERALIZED DROP-THE-LOSER URN FOR CLINICAL TRIALS WITH DELAYED RESPONSES
张立新, Li-Xin Zhang , Wai Sum Chan , Siu Hung Cheung and Feifang Hu
Statistica Sinica 17(2007), 387-409,-0001,():
-1年11月30日
Urn models are popular and useful for adaptive designs in clinical studies. Among various urn models, the drop-the-loser rule is an e cient adaptive treatment allocation scheme, recently proposed for comparing di erent treatments in a clinical trial. This rule is superior to other randomization schemes in terms of variability and power. In this paper, the drop-the-loser rule is generalized to cope with more popular and practical circumstances, including (1) delayed responses when test results cannot be obtained immediately, (2) continuous responses, and (3) a prespeci ed target of allocation proportion. In addition, our proposed procedure has several favorable asymptotic properties such as strong consistency and asymptotic normality of the allocation proportions.
Asymptotic normality, asymptotic power, clinical trial, delayed response, randomized play-the-winner rule, strong consistency.,
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【期刊论文】A generalized drop-the-loser rule for multi-treatment clinical trials
张立新, Ruibo Sun a, Siu Hung Cheung b, *, , Li-Xin Zhang c
Journal of Statistical Planning and Inference 137(2007)2011-2023,-0001,():
-1年11月30日
Urn models are popular for response adaptive designs in clinical studies. Among different urn models, Ivanova's drop-the-loser rule is capable of producing superior adaptive treatment allocation schemes. Ivanova [2003.A play-the-winner-type urn model with reduced variability. Metrika 58, 1-13] obtained the asymptotic normality only for two treatments. Recently, Zhang et al. [2007. Generalized drop-the-loser urn for clinical trials with delayed responses. Statist. Sinica, in press] extended the drop-the-loser rule to tackle more general circumstances. However, their discussion is also limited to only two treatments. In this paper, the drop-the-loser rule is generalized to multi-treatment clinical trials, and delayed responses are allowed. Moreover, the rule can be used to target any desired pre-specified allocation proportion. Asymptotic properties, including strong consistency and asymptotic normality, are also established for general multi-treatment cases.
Response adaptive design, Play-the-winner rule, Delayed response, Strong consistency, Asymptotic normality
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