EXISTENCE OF SOLUTIONS FOR A CLASS OF SYSTEMS GOVERNED BY NONLINEAR DIFFERENTIAL INCLUSIONS

ＥＸＩＳＴＥＮＣＥＯＦＳＯＬＵＴＩＯＮＳＦＯＲＡＣＬＡＳＳＯＦＳＹＳＴＥＭＳＧＯＶＥＲＮＥＤＢＹＮＯＮＬＩＮＥＡＲＤＩＦＦＥＲＥＮＴＩＡＬＩＮＣＬＵＳＩＯＮＳ￥ＸＩＡＮＧＸｉａｏｌｉｎｇ；ＷＡＮＧＹｕａｎｄｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔ...     

EXISTENCE OF MULTIPLE SOLUTIONS AND BIFURCATIONFOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS

ＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦＯＲＣＲＩＴＩＣＡＬＳＥＭＩＬＩＮＥＡＲＢＩＨＡＲＭＯＮＩＣＥＱＵＡＴＩＯＮＳＥＸＩＳＴＥＮＣＥＯＦＭＵＬＴＩＰＬＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＦ...     

ON THE EXISTENCE OF MEROMORPHIC SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS

ＯＮＴＨＥＥＸＩＳＴＥＮＣＥＯＦＭＥＲＯＭＯＲＰＨＩＣＳＯＬＵＴＩＯＮＳＯＦＡＬＧＥＢＲＡＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＹＵＡＮＷｅｎｊｕｎ（ＤｅｐａｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｊｉａｎｇＮｏｏｒｍａｌＵｎｉｖｅｒｓ...     

APPROXIMATION OF SOLUTION OF RELAXED DIFFERENTIAL INCLUSION ON COMPACT SET

ＡＰＰＲＯＸＩＭＡＴＩＯＮＯＦＳＯＬＵＴＩＯＮＯＦＲＥＬＡＸＥＤＤＩＦＦＥＲＥＮＴＩＡＬＩＮＣＬＵＳＩＯＮＯＮＣＯＭＰＡＣＴＳＥＴ￥ＳＯＮＧＷｅｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨａｒｂｉｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｈａｒｂ...     

THE EXPONENTIAL BOUND OF THE SURVIVAL FUNCTION ESTIMAATOR FOR RANDOMLY TRUNCATED AND CENSORED DATA

ＴＨＥＥＸＰＯＮＥＮＴＩＡＬＢＯＵＮＤＯＦＴＨＥＳＵＲＶＩＶＡＬＦＵＮＣＴＩＯＮＥＳＴＩＭＡＡＴＯＲＦＯＲＲＡＮＤＯＭＬＹＴＲＵＮＣＡＴＥＤＡＮＤＣＥＮＳＯＲＥＤＤＡＴＡＺＨＵＹｕｊｉｅ（ＨｕｚｈｏｕＴｅａｃｈｅｒ＇ｓＣｏｌｌａｇｅ，Ｈｕｚｈｏｕ３１...     

GLOBAL AND LOCAL BIFURCATION IN PERTURBATIONS OF NON－SYMMETRY AND SYMMETRY OF HAMILTONIAN SYSTEM

ＧＬＯＢＡＬＡＮＤＬＯＣＡＬＢＩＦＵＲＣＡＴＩＯＮＩＮＰＥＲＴＵＲＢＡＴＩＯＮＳＯＦＮＯＮ－ＳＹＭＭＥＴＲＹＡＮＤＳＹＭＭＥＴＲＹＯＦＨＡＭＩＬＴＯＮＩＡＮＳＹＳＴＥＭ￥ＬＩＵＺｈｅｎｇｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉ...     

NON－EXISTENCE OF SINGULAR CYCLES IN A QUADRIC DIFFERENTIAL SYSTEM WITH FINE FOCUS OF ORDER THREE

ＮＯＮ－ＥＸＩＳＴＥＮＣＥＯＦＳＩＮＧＵＬＡＲＣＹＣＬＥＳＩＮＡＱＵＡＤＲＩＣＤＩＦＦＥＲＥＮＴＩＡＬＳＹＳＴＥＭＷＩＴＨＦＩＮＥＦＯＣＵＳＯＦＯＲＤＥＲＴＨＲＥＥ￥ＬＵＧａｎｇ；ＬＩＡＮＧＺｈａｏｊｕｎ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃ...     

LIMIT THEOREMS FOR SUMS AND MAXIMA OF MIRWISE NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES

ＬＩＭＩＴＴＨＥＯＲＥＭＳＦＯＲＳＵＭＳＡＮＤＭＡＸＩＭＡＯＦＭＩＲＷＩＳＥＮＥＧＡＴＩＶＥＱＵＡＤＲＡＮＴＤＥＰＥＮＤＥＮＴＲＡＮＤＯＭＶＡＲＩＡＢＬＥＳ￥ＱＩＹｏｎｇｃｈｅｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，Ａｃａｄｅｍｉａ...     

DYNAMICAL BEHAVIORS OF A FOUR-DIMENSIONAL SYSTEM IN INFECTIOUS DISEASE

ＤＹＮＡＭＩＣＡＬＢＥＨＡＶＩＯＲＳＯＦＡＦＯＵＲ－ＤＩＭＥＮＳＩＯＮＡＬＳＹＳＴＥＭＩＮＩＮＦＥＣＴＩＯＵＳＤＩＳＥＡＳＥＬＩＮＹｉｐｉｎｇ（ＹｕｎｎａｎＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＫｕｎｍｉｎｇＩｎｓｔｉｔｕｔｅｏ...     

SOME RESULTS OF BOUNDARY PROBLEM OF NON-NEWTONIAN FLUIDS

ＳＯＭＥＲＥＳＵＬＴＳＯＦＢＯＵＮＤＡＲＹＰＲＯＢＬＥＭＯＦＮＯＮ－ＮＥＷＴＯＮＩＡＮＦＬＵＩＤＳＳＨＩＸｉａｏｄｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）ＳＯＭ...     

ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE

Under multivariant normal linear models, it is proved that usual loss estima-tors based on the uniformly minimum variance unbiased estimator and the best affinelyequivariant estimator of error variance are inadmissible with squared error loss.     

Estimation of Fired Polynomial Effects of Mixed Models Based on PBIB

ＥｓｔｉｍａｔｉｏｎｏｆＦｉｒｅｄＰｏｌｙｎｏｍｉａｌＥｆｆｅｃｔｓｏｆＭｉｘｅｄＭｏｄｅｌｓＢａｓｅｄｏｎＰＢＩＢＴＡＯＪｉｎｇｘｕａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉｎｙａｎｇＮｏｒｍａｌＣｏｌｌｅｇｅ．Ｘｉｎｙａｎｇ４６４...     

基于子块的三维模型检索算法

针对三维模型检索性能较低的问题,提出一种基于子块的三维模型检索算法。首先,对经过预处理的模型进行骨架提取,并记录每个骨架点相应的几何和拓扑结构信息;然后,将骨架划分成多个子块,为每个子块定义一个权值因子;最后,通过比较子块的相似度来计算模型整体的相似度。实验表明,该算法可以得到较好的检索性能。     

自回归模型的加权复合Expectile回归估计及其应用

本文基于充分利用多个Expectile信息能提高参数估计效率的假设,提出了AR模型的加权复合Expectile回归(WCER)估计,探讨了该估计的最优权重,建立了其大样本性质,发现根据由数据驱动的最优权重所获得的WCER估计与最优权重已知时所获得的WCER估计具有相同的渐近有效性.数值模拟表明,当误差为厚尾或非对称分布,所提出的WCER估计大大优于传统最小二乘估计.即使误差分布未知,依然可以得到像极大似然估计一样具有优良统计性质的WCER估计.应用所提出的方法分析恒生指数和标准普尔500指数,实证分析表明:所提出的WCER估计在有效性意义下非常具有竞争力.     

归并数据回归模型的半参数估计方法

基于受限因变量的生存函数,构造归并数据回归模型的一个新的半参数估计量, 并设计多项实验与HP估计量进行模拟比较. 模拟显示, 所构造的估计量具有较好的小样本表现.     

A Constrained Interval-Valued Linear Regression Model: A New Heteroscedasticity Estimation Method

Linear regression models for interval-valued data have been widely studied. Most literatures are to split an interval into two real numbers, i.e., the left- and right-endpoints or the center and radius of this interval, and fit two separate real-valued or two dimension linear regression models. This paper is focused on the bias-corrected and heteroscedasticity-adjusted modeling by imposing order constraint to the endpoints of the response interval and weighted linear least squares with estimated covariance matrix, based on a generalized linear model for interval-valued data. A three step estimation method is proposed. Theoretical conclusions and numerical evaluations show that the proposed estimator has higher efficiency than previous estimators.

     

一种BICM-ID系统中的迭代盲信道估计算法

提出一种基于硬判决BICM-ID系统中的迭代盲信道估计算法.该算法基于最大似然估计(ML)同步算法,利用BICM-ID译码产生的硬判决信息,通过迭代地在信道估计和解码之间交换信息来完成联合信道估计和解码.仿真结果验证了算法的有效性,并分析了信噪比和块衰落信道的块长对迭代信道估计性能的影响.     

加权已实现极差四次幂变差分析及其应用

针对金融高频数而开发的极差波动估计量因能更精确地度量波动率而备受关注. 根据方差有效性结合数值模拟, 推导出了已实现极差多幂次变差族中最优的波动估计量, 并依据无偏性和方差有效性给出了相应的加权估计量. 同时将这些估计量与已实现GRACH模型相结合, 并对模型进行扩展. 实证表明已实现极差四幂次变差是已实 现极差多幂次变差族中最优的波动估计量, 加权的已实现极差四幂次变差能有效消除日历效应的影响, 扩展的已实现GRACH模型在拟合和预测效果上明显优于传统的EGARCH模型.     

基于虚拟失效序列样本的系统实时可靠性研究

针对一类不能获得足够数量的试验和现场使用数据的复杂系统,提出Monte Carlo(MC)实时可靠性估计方法.以系统部件失效时间序列作为样本空间,应用MC法仿真产生更多的虚拟样本,建立了虚拟样本序列下系统实时可靠性估计的一般框架,并研究了MC估计的期望和方差与先验信息之间的关系,得到了具有包含关系的信息条件下,基于较少先验信息的估计的方差不超过拥有更多先验信息的估计的方差.考虑所有部件失效时间序列和导致系统失效的部分部件失效时间序列的先验信息,分别导出了系统实时可靠性模型.最后,通过算例分析,验证了本文不同先验信息下可靠性模型的有效性和方法的合理性.     

THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA

1 Illtroduction and Main ResultsIn medical follow-up or engineering life testing studies one may not be able to observethe variable of inferest, referred to hereafter as the lifetime. Among the differellt forms inwhich incomplete data appears right censoring and left truncation are two common ones. Lefttruncation mad occur if the time origin of the lifetime precedes the time origin of the study.Only subjects that fail after the start of the study are being followed, otherwise they are lefttru…