Pólya-Eggenberger urn model had been studied for a long time. There are several generalizations and applications for the urn model in the literature. In this talk, we first review some generalized Pólya-Egge...
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Pólya-Eggenberger urn model had been studied for a long time. There are several generalizations and applications for the urn model in the literature. In this talk, we first review some generalized Pólya-Eggenberger urn models. Then we will introduce the generalized multiple-urn model. Finally, we study the limiting behavior of the fractions in all urns.
In this paper, we consider the B-spline based maximum likelihood estimation on the single index transformation models. A two-stage Newton iterative algorithm is proposed for this estimation approach and it is easily i...
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In this paper, we consider the B-spline based maximum likelihood estimation on the single index transformation models. A two-stage Newton iterative algorithm is proposed for this estimation approach and it is easily implemented. Under some regular conditions, we prove that the resulting estimators enjoy consistency and asymptotical normality. Some numerical studies are given to illustrate our proposed model and the corresponding estimation approach.
目的复方苦参注射液联合长春瑞滨和顺铂(vinorelbine and cisplatin,NP)治疗非小细胞肺癌(NSCLC)在临床疗效和安全性方面是否优于单纯NP方案尚存争议。本文系统评价复方苦参注射液联合NP化疗方案治疗晚期NSCLC的临床疗效和安全性。方法...
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目的复方苦参注射液联合长春瑞滨和顺铂(vinorelbine and cisplatin,NP)治疗非小细胞肺癌(NSCLC)在临床疗效和安全性方面是否优于单纯NP方案尚存争议。本文系统评价复方苦参注射液联合NP化疗方案治疗晚期NSCLC的临床疗效和安全性。方法计算机检索Cochrane Library、PubMed、EMBASE、CancerLit、中国生物医学文献数据库、中国期刊全文数据库、中文科技期刊全文数据库等,检索时间从各数据库建库至2010年6月;同时辅助其他检索,纳入复方苦参注射液联合NP化疗方案治疗非小细胞肺癌的随机对照试验(randomizedcontrolledtrial,RCT。两名评价者独立评价纳入研究的质量并提取资料,并用Stata11.0软件进行统计分析。结果共纳入12项RCTs共计781例患者。Meta分析结果显示:复方苦参注射液联合NP方案与单用NP方案在改善患者生活质量(OR=1.64,95%CI:1.23-2.21)、缓解癌痛(OR=1.75,95%CI:1.19-2.57)、白细胞下降(OR=0.58,95%CI:0.44-0.78)、血小板下降(OR=1.75,95%CI:1.19-2.57)、中性粒细胞下降(OR=0.65,95%CI:0.43-1.00)、胃肠道反应(OR=0.73,95%CI:0.58-0.92)和肝功能异常(OR=0.43,95%CI:0.19-0.95)等方面的差异有统计学意义。结论复方苦参注射液联合NP方案,可提高患者生活质量、缓解癌痛、改善骨髓抑制,并降低化疗所产生的不良反应。
Preprocessing data is an important step before any data analysis. In this talk, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effe...
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Preprocessing data is an important step before any data analysis. In this talk, we focus on one particular aspect, namely scaling or normalization. We analyze various scaling methods in common use and study their effects on different statistical learning models. We will propose a new two-stage scaling method. First, we use some training data to fit linear regression model and then scale the whole data based on the coefficients of regression. Simulations are conducted to illustrate the advantages of our new scaling method. Some real data analysis will also be given.
There are two critical issues of threshold model: parameter estimation and threshold number estimate problems. We propose penalized smoothed least square to solve these problems. Our estimation method avoids the hypot...
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There are two critical issues of threshold model: parameter estimation and threshold number estimate problems. We propose penalized smoothed least square to solve these problems. Our estimation method avoids the hypothesis testing which is always used to determine the threshold numbers and is simple to compute. Estimator of regression is-consistent and asymptotically normal, and estimator of threshold is-consistent and asymptotically normal. Numerical simulation and practical example results show that the proposed method performs well.
The classical Harnack inequality has been widely applied in PDEs and Geometry Analysis. However, as the inequality is essentially depend on the dimension of generator, it is invalid for infinite-dimensional models. To...
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The classical Harnack inequality has been widely applied in PDEs and Geometry Analysis. However, as the inequality is essentially depend on the dimension of generator, it is invalid for infinite-dimensional models. To establish infinite-dimensional Harnack inequalities, we introduce a new coupling method by change of measures, which allow the coupling to be successful at given fixed time. By looking at a simple stochastic differential equation, we explain the idea for applications of this method to the study of Harnack inequality, Bismut derivative formula and integration by parts formulas for Markov semigroups.
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