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Asymptotic Ruin Probabilities of the Renewal Model with Constant Interest Force and Dependent Heavy-tailed Claims

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Acta Mathematicae Applicatae Sinica 2011年第2期27卷 329-338页

作者： Jin-zhu Li rong Wu School of Mathematical Sciences and LPMC Nankai University Tianjin 300071 China

In this paper, we investigate the asymptotic behavior for the finite- and infinite-time ruin probabilities of a nonstandard renewal model in which the claims are identically distributed but not necessarily inde- pendent. Under the assumptions that the identical distribution of the claims belongs to the class of extended regular variation （ERV） and that the tails of joint distributions of every two claims are negligible compared to the tails of their margins, we obtain the precise approximations for the finite- and infinite-time ruin probabilities.

关键词： asymptotic behavior extended regular variation negligible joint tails ruin probability

The Gerber-Shiu Discounted Penalty Function for a Compound Binomial Risk Model with By-claims

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Acta Mathematicae Applicatae Sinica 2015年第1期31卷 181-190页

作者： Jin-zhu LI rong WU School of Mathematical Sciences and LPMC Nankai University

A recursive formula of the Gerber-Shiu discounted penalty function for a compound binomial risk model with by-claims is obtained. In the discount-free case, an explicit formula is given. Utilizing such an explicit expression, we derive some useful insurance quantities, including the ruin probability, the density of the deficit at ruin, the joint density of the surplus immediately before ruin and the deficit at ruin, and the density of the claim causing ruin.

关键词： compound binomial risk model Gerber-Shiu function by-claims

BLUP Estimation of Linear Mixed-effects Models with Measurement Errors and Its Applications to the Estimation of Small Areas

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Acta Mathematica Sinica,English Series 2014年第12期30卷 2027-2044页

作者： rong zhu Guo Hua ZOU Academy of Mathematics and Systems Science Chinese Academy of Sciences

The linear mixed-effects model （LMM） is a very useful tool for analyzing cluster data. In practice, however, the exact values of the variables are often difficult to observe. In this paper, we consider the LMM with measurement errors in the covariates. The empirical BLUP estimator of the linear combination of the fixed and random effects and its approximate conditional MSE are derived. The application to the estimation of small area is provided. Simulation study shows good performance of the proposed estimators.

关键词： BLUP linear mixed-effects models measurement errors small area estimation

Evaluation on biocompatibility of biomedical polyurethanes with different hard segment contents

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Frontiers of Materials Science 2015年第4期9卷 397-404页

作者： Dai-Wei MA rong zhu yi-Yu WANG Zong-Rui ZHANG Xi n-Yu WANG State Key Laboratory of Advanced Technology for Materials Synthesis and Processing Wuhan University of Technology Wuhan 430070 China Biomedical Materials and Engineering Research Center of Hubei Province Wuhan University of Technology Wuhan 430070 China

In this paper, polyurethane （PU） materials with different contents of hard segment （20%, 25%, 30%） were prepared based on hexamethylene diisocyanate and polycarbonate diols by solution polymerization. The obtained polycarbonate-urethane （PCU） elastomers were characterized by very good hydrophobic property and excellent resistance to hydrolysis. Hemolysis, recalification time and platelet-rich plasma adhesion were used to evaluate the blood compatibility of the materials. L929 cells cultured with leach liquor of these PU membranes were selected to perform the cytotoxicity experiments. The results indicate that the hemolysis rates of PU membranes are all less than 5%, which can meet the requirement of the national standards for biomaterials. However, compared with 20% and 30% groups, the recalification time of the sample containing 25% hard segment is longer, while the number of platelet adhesion is less. Additionally, cells cultured in the leach liquor of PU membranes with 25% hard segment proliferated relatively more thriving, meaning that this proportion of the material has the lowest cytotoxicity.

关键词： polyurethane (PU) hydrolytic stability blood compatibility cytotoxicity

Phase Effect in Controlling Non-autonomous Chaos in the Presence of Noise

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Journal of Harbin Institute of Technology(New Series) 2013年第4期20卷 48-51页

作者： Ruo-Qian zhu Long-Suo Li Xin-rong Cong yi-Xin Dou School of Management Harbin University of Science and Technology Dept.of Mathematics Harbin Institute of Technology Dept.of Astronautical Science and Mechanics School of AstronauticsHarbin Institute of Technology School of Finance Harbin University of Commerce

The effect of random phase on the Josephson junction system dynamic model is *** is shown that random phase has the suppressing ability for controlling *** top Lyapunov exponent is used to detect the chaotic dynamics in the system,and the method for calculating the top Lyapunov exponent is based on Khasminskii’s spherical coordinate formulation for linear stochastic *** addition,Poincarémap,phase portraits and time evolution are investigated to verify the obtained *** is found that these results have the excellent agreement.

关键词： chaos control random phase Gauss white noise

Single-cell individualized electroporation with real-time impedance monitoring using a microelectrode array chip

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Microsystems & Nanoengineering 2020年第1期6卷 295-304页

作者： Zhizhong Zhang Tianyang Zheng rong zhu State Key Laboratory of Precision Measurement Technology and Instruments Department of Precision InstrumentTsinghua UniversityBeijing 100084China

The ability to precisely deliver molecules into single cells while maintaining good cell viability is of great importance to applications in therapeutics,diagnostics,and drug delivery as it is an advancement toward the promise of personalized *** paper reports a single-cell individualized electroporation method with real-time impedance monitoring to improve cell perforation efficiency and cell viability using a microelectrode array *** microchip contains a plurality of sextupole-electrode units patterned in an array,which are used to perform in situ electroporation and real-time impedance monitoring on single *** dynamic recovery processes of single cells under electroporation are tracked in real time via impedance measurement,which provide detailed transient cell states and facilitate understanding the whole recovery process at the level of single *** define single-cell impedance indicators to characterize cell perforation efficiency and cell viability,which are used to optimize *** applying the proposed electroporation method to different cell lines,including human cancer cell lines and normal human cell lines individually,optimum stimuli are determined for these cells,by which high transfection levels of enhanced green fluorescent protein(EGFP)plasmid into cells are *** results validate the effectiveness of the proposed single-cell individualized electroporation/transfection method and demonstrate promising potential in applications of cell reprogramming,induced pluripotent stem cells,adoptive cell therapy,and intracellular drug delivery technology.

关键词： impedance microelectrode monitoring

Yrast Bands Calculation for Odd-Odd Nuclei ^(160)Ho, ^(162)Tm and ^(164)Tm

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Chinese Physics Letters 1996年第7期13卷 504-507页

作者： zhu Shun-quan ZHENG Ren-rong Department of Physics Southwest Normal UniversityChongqing 630715

In this paper,the axial symmetry rotor plus quasiparticle model is generalized from odd nuclei to odd-odd *** spectra of yrast bands for nuclei ^(160)Ho,^(162)Tm and ^(164)Tm are calculated by using the *** inversions in these three nuclei are reproduced,and one possible signature inversion mechanism connected with the calculation is also discussed.

关键词： method symmetry

Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices

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Frontiers of Mathematics in China 2020年第3期15卷 451-465页

作者： yizheng FAN zhu zhu yi WANG School of Mathematical Sciences Anhui UniversityHefei 230601China

Let G be a connected hypergraph with even uniformity,which contains cut *** G is the coalescence of two nontrivial connected sub-hypergraphs(called branches)at a cut *** A(G)be the adjacency tensor of *** least H-eigenvalue of A(G)refers to the least real eigenvalue of A(G)associated with a real *** this paper,we obtain a perturbation result on the least H-eigenvalue of A(G)when a branch of G attached at one vertex is relocated to another vertex,and characterize the unique hypergraph whose least H-eigenvalue attains the minimum among all hypergraphs in a certain class of hypergraphs which contain a fixed connected hypergraph.

关键词： Hypergraph adjacency tensor least H-eigenvalue eigenvector perturbation

Large-scale Dynamics of Line-driven Winds with the Re-radiation Effect

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Research in Astronomy and Astrophysics 2023年第12期23卷 105-117页

作者： yi zhu Jinsen Xie School of Nuclear Science and Technology University of South ChinaHengyang 421001China

Previous simulations studying winds only focus on the line force due to photons from central active galactic *** properties of the winds will be when including the re-radiation force due to the scattered and reprocessed photons(i.e.,the re-radiation effect)?We perform simulations to study the large-scale dynamics of accretion disk winds driven by radiation line force and re-radiation *** the fiducial run,we find that the re-radiation force drives stronger outflows during the early *** the flows get into the steadiness,the UV radiation due to spectral lines dominates total radiation and the re-radiation effect could be *** opening angle of winds narrows as the initial gas density *** larger the gas density is,the stronger the re-radiation effect will *** MBH=10^(6)M_(⊙),ε=0.3,the outflows do become much stronger with the re-radiation effect and the winds still cannot escape from gravitational *** find that the detection probability of ultra-fast outflows and the properties of the winds are both consistent with the observations.

关键词： accretion-accretion disks-black hole physics-galaxies nuclei-stars winds-outflows