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| 1 | Uniform Cramer moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment显示文摘Let{Zn,n≥0}be a supercritical branching process in an independent and identically distributed random environment.We prove Cramer moderate deviations and Berry-Esseen bounds for log(Zn+n0/Zn0)uniformly in n0∈N,which extend the corresponding results by I.Grama,Q.Liu,and M.Miqueu[Stochastic Process.Appl.,2017,127:1255-1281]established for n0=0.The extension is interesting in theory,and is motivated by applications.A new method is developed for the proofs;some conditions of Grama et al.are relaxed in our present setting.An example of application is given in constructing confidence intervals to estimate the criticality parameter in terms of log(Zn+n0/Zn0)and n. | Xiequan FAN Haijuan HU Quansheng LIU | 2020 | Frontiers of Mathematics in China2020，15，5： | 3 |
| 2 | Electrochemical Method for Synthesis of a ZnFe2O4/TiO2 Composite Nanotube Array Modified Electrode with Enhanced Photoelectrochemical Activity显示文摘 | YangHou Xin‐YongLi Qi‐DongZhao XieQuan Guo‐HuaChen | 2010 | Adv. Funct. Mater2010，，： | 2 |
| 3 | Strength-Toughening Model of Eutectic Ceramic Composite with Inherent Defects显示文摘Strengthening and toughening mechanisms in composite ceramics is complex. A change in a single parameter induces multiple property variations. The multiple changes in properties are often incompletely represented in theoretical models. This incompleteness in the parameter chosen fails to explain the mechanism of failure in composite ceramics. The exponential toughness function is used to represent the pull-out toughening mechanism, which dominates the crack growth resistance curve(R-curve). The strengthening-toughening model is established based on the Mori-Tanaka method(M-T method). The influence of inherent defects on toughness function and strength is analyzed by using this model. The theoretical result is compared with the experiment data. This model exactly reflects the change in strength. The theoretical result indicates that defects change the toughness function. Moreover, micro-cracks increase toughness size ac, and the strength of crack instable extensions acutely decreases as defect content increases. This presented model establishes the relationship among the important mechanical parameters of defect, strength, elastic modulus, and the R-curve. | FU Yunwei ZHANG Long NI Xinhua LIU Xiequan CHEN Cheng ZHAO Siyuan | 2014 | Chinese Journal of Mechanical Engineering2014，27，4： | 2 |
| 4 | Damage and fracture model for eutectic composite ceramics显示文摘Study of damage and fracture models to analyze the fracture mechanism of eutectic composite ceramics is of considerable importance because no accurate fracture models are available for these materials. Eutectic composite ceramics are composed of microcells with random direction. We present herein a model that predicts the damage and fracture of eutectic composite ceramics based on analysis of defect stability and the damage localization band. Firstly, given the microstructure of eutectic composite ceramics, a mesodomain and a microcell model are constructed. The local stress field in the mesodomain is then analyzed based on the interaction direct derivative estimate. Secondly, the stability of a defect around particles in a microcell is analyzed, and the stress intensity factor of an annular defect under the applied stress field and the residual stress field in the particle are calculated. The stress intensity factor of a defect is controlled by the residual stress when the defect extension is small. However, it is controlled by the applied stress when the defect extension is large. Finally, a model for the damage localization band at the crack tip is constructed based on the Dugdale-Barenblatt model. The residual intensity is the important factor affecting the length of the damage localization band. When the damage variables reach their largest value, the residual in ten sity and the length of the damage localization band attain their minimum value. This work provides the theoretical basis for further study of the damage mechanics of eutectic composite ceramics and guides the engineering applications of these materials. | Jinfeng Yu Xinhua Ni Xiequan Liu Yunwei Fu Zhihong Du | 2019 | Acta Mechanica Sinica2019，35，1： | 2 |
| 5 | ThermaleGvaporationmethodofsemiconducting Mg2Sifilms显示文摘 | YuHong XieQuan XiaoQingquan etal | 2013 | JournalofFunctional Materials2013，44，8： | 1 |
| 6 | The Toughing Action of Comprehensive Transformation on Mixed Mode II- III Ceramics显示文摘 | Ni Xinhua Liu Xiequan Wang Junying | 2005 | Key Engineer- ing Materials2005，，： | 1 |
| 7 | Cracking stress of nano-fibers composite ceramics显示文摘 | Ni Xinhua Yao Zhanjun Liu Xiequan Wang J unying | 2007 | Key Engineering Materials2007，，： | 1 |
| 8 | Fabrication of TiO2-Pt Coaxial Nanotube Array Schottky Structures for Enhanced Photocatalytic Degradation of Phenol in Aqueous Solution显示文摘 | Huan Chen Shuo Chen XieQuan | | 0，，： | 1 |
| 9 | Berry-Esseen Bounds for Self-Normalized Martingales显示文摘A Berry–Esseen bound is obtained for self-normalized martingales under the assumption of finite moments.The bound coincides with the classical Berry–Esseenboundforstandardizedmartingales.Anexampleisgiventoshowtheoptimality of the bound.Applications to Student’s statistic and autoregressive process are also discussed. | Xiequan Fan Qi-Man Shao | 2018 | Communications in Mathematics and Statistics2018，6，1： | 1 |
| 10 | Fabrication of Boron-Doped TiO2 Nanotube Array Electrode and Investigation of Its Photoelectrochemical Capability显示文摘 | Na Lu XieQuan JingYuan Li | | 0，，： | 1 |
| 11 | Thermal Fatigue Life Prediction of Ni Base Alloy Ceramic Composite Coating显示文摘 | Xiequan Liu Xinhua Ni and Junying Wang | 2005 | Key Engineering Materials2005，，： | 1 |
| 12 | Sharp large deviation results for sums of independent random variables显示文摘We show sharp bounds for probabilities of large deviations for sums of independent random variables satisfying Bernstein's condition. One such bound is very close to the tail of the standard Gaussian law in certain case; other bounds improve the inequalities of Bennett and Hoeffding by adding missing factors in the spirit of Talagrand(1995). We also complete Talagrand's inequality by giving a lower bound of the same form, leading to an equality. As a consequence, we obtain large deviation expansions similar to those of Cram′er(1938),Bahadur-Rao(1960) and Sakhanenko(1991). We also show that our bound can be used to improve a recent inequality of Pinelis(2014). | FAN XieQuan GRAMA Ion LIU QuanSheng | 2015 | Science China Mathematics2015，58，9： | 1 |
| 13 | The toughing action of comprehensive transformation on mixed mode Ⅱ-Ⅲ ceramics显示文摘 | Xinhua Ni Xiequan Liu Junying Wang Xiaobo Lu | 2005 | Key Engineering Materials2005，，280283： | 1 |
| 14 | Wasserstein-1 Distance and Nonuniform Berry-Esseen Bound for a Supercritical Branching Process in a Random Environment显示文摘Let(Z_(n))_(n)≥0be a supercritical branching process in an independent and identically distributed random environment.We establish an optimal convergence rate in the Wasserstein-1 distance for the process(Z_(n))_(n)≥0,which completes a result of Grama et al.[Stochastic Process.Appl.,2017,127(4):1255–1281].Moreover,an exponential nonuniform Berry-Esseen bound is also given.At last,some applications of the main results to the confidence interval estimation for the criticality parameter and the population size Znare discussed. | Hao WU Xiequan FAN Zhiqiang GAO Yinna YE | 2023 | Journal of Mathematical Research with Applications2023，43，6： | 0 |
| 15 | The Stress-strain Analysis for the Linearly Elastic and Power Hardening of Strength Difference Plane Structure of Bars Jointed to a Rigid-body显示文摘The plane structure of bars jointed to a rigid-body is a complex and universal structure.Some other structure of bars can be considered as its special cases. Many material have different stress-strain relation in tension and compression, generally the relation is nonlinear. In this paper,we use the constitutive model of linearly elastic and power hardening of strength difference to analyze plane structure of bars. The displacement method is used to derive the universal expression of calculating stress and strain. The nonlinear equations for computing displacements of the rigid-body has been given and general computing program has been worked out. This problem has been solved satisfactorily. | Liu Xiequan Ni Xinhua Zhao Jianjun | 2004 | 上海交通大学学报2004，38，z2： | 0 |
| 16 | Sharp large deviations for sums of bounded from above random variables显示文摘We show large deviation expansions for sums of independent and bounded from above random variables. Our moderate deviation expansions are similar to those of Cram′er(1938), Bahadur and Ranga Rao(1960), and Sakhanenko(1991). In particular, our results extend Talagrand's inequality from bounded random variables to random variables having finite(2 + δ)-th moments, where δ∈(0, 1]. As a consequence,we obtain an improvement of Hoeffding's inequality. Applications to linear regression, self-normalized large deviations and t-statistic are also discussed. | FAN XieQuan | 2017 | Science China Mathematics2017，60，12： | 0 |
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