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A TWO-STAGE ESTIMATION ALGORITHM FOR A TYPE OF CURRENT STATUS DATA

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Journal of Systems Science & Complexity 2012年第3期25卷 556-566页

作者： hui ZHAO Ningning jiang School of Mathematics and Statistics Central China Normal University Institute of Systems Science Academy of Mathematics and Systems ScienceChinese Academy of Sciences

Success-failure life tests are widely used in reliability engineering research to evaluate the storage life of products, where the observed data are the current status data, usually summarized as the form of ＂binomial life data＂. For this type of data, this paper proposes a two-stage algorithm to estimate some commonly used lifetime distributions. This Mgorithm is automatic, intuitively appealing and simple to implement. Simulation studies show that compared with some existing methods, the proposed algorithm is more stable and efficient, especially in small sample situations, and it can also be extended to deM with some complicated lifetime distributions.

关键词： Current status data nonparametric maximum likelihood estimation success-failure lifetest.

Generalized Gerstewitz's Functions and Vector Variational Principle for-Efficient Solutions in the Sense of Németh

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Acta Mathematica Sinica,English Series 2019年第3期35卷 297-320页

作者： jing hui QIU School of Mathematical Sciences Soochow University

In this paper, we first generalize Gerstewitz's functions from a single positive vector to a subset of the positive cone. Then, we establish a partial order principle, which is indeed a variant of the pre-order principle [Qiu, J. H.: A pre-order principle and set-valued Ekeland variational principle.J. Math. Anal. Appl., 419, 904–937(2014)]. By using the generalized Gerstewitz's functions and the partial order principle, we obtain a vector EVP for-efficient solutions in the sense of N′emeth, which essentially improves the earlier results by completely removing a usual assumption for boundedness of the objective function. From this, we also deduce several special vector EVPs, which improve and generalize the related known results.

关键词： Ekeland variational principle partial order principle -efficient solutions in the sense of N'emeth Gerstewitz's function convex cone

Energy beam-based direct and assisted polishing techniques for diamond:A review

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International Journal of Extreme Manufacturing 2024年第1期6卷 93-124页

作者： Zhuo Li Feng jiang Zhengyi jiang Zige Tian Tian Qiu Tao Zhang Qiuling Wen Xizhao Lu jing Lu hui Huang Institute of Manufacturing Engineering Huaqiao UniversityXiamen 361021People’s Republic of China School of Mechanical MaterialsMechatronic and Biomedical EngineeringUniversity of WollongongWollongongNSW 2522Australia College of Mechanical Engineering and Automation Huaqiao UniversityXiamen 361021People’s Republic of China State Key Laboratory of High Performance Tools Huaqiao UniversityXiamen 361021People’s Republic of China

Diamond is a highly valuable material with diverse industrial applications,particularly in the fields of semiconductor,optics,and high-power ***,its high hardness and chemical stability make it difficult to realize high-efficiency and ultra-low damage machining of *** address these challenges,several polishing methods have been developed for both single crystal diamond(SCD)and polycrystalline diamond(PCD),including mechanical,chemical,laser,and ion beam processing *** this review,the characteristics and application scope of various polishing technologies for SCD and PCD are ***,various energy beam-based direct and assisted polishing technologies,such as laser polishing,ion beam polishing,plasma-assisted polishing,and laser-assisted polishing,are *** current research progress,material removal mechanism,and infuencing factors of each polishing technology are *** some of these methods can achieve high material removal rates or reduce surface roughness,no single method can meet all the ***,the future development prospects and application directions of different polishing technologies are presented.

关键词： single crystal diamond polycrystalline diamond energy beam polishing technology material removal mechanism influencing factors

On Ha's Version of Set-valued Ekeland's Variational Principle

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Acta Mathematica Sinica,English Series 2012年第4期28卷 717-726页

作者： jing hui QIU School of Mathematic Science Soochow University

By using the concept of cone extensions and Dancs-Hegedus-Medvegyev theorem, Ha [Some variants of the Ekeland variational principle for a set-valued map. J. Optim. Theory Appl., 124, 187-206 （2005）] established a new version of Ekeland＇s variational principle for set-valued maps, which is expressed by the existence of strict approximate minimizer for a set-valued optimization problem. In this paper, we give an improvement of Ha＇s version of set-valued Ekeland＇s variational principle. Our proof is direct and it need not use Dancs-Hegedus-Medvegyev theorem. From the improved Ha＇s version, we deduce a Caristi-Kirk＇s fixed point theorem and a Takahashi＇s nonconvex minimization theorem for set-valued maps. Moreover, we prove that the above three theorems are equivalent to each other.

关键词： Ekeland's variational principle set-valued map locally convex space Caristi-Kirk's fixedpoint theorem Takahashi's nonconvex minimization theorem

A Revised Pre-Order Principle and Set-Valued Ekeland Variational Principles with Generalized Distances

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Acta Mathematica Sinica,English Series 2017年第6期33卷 775-792页

作者： jing hui QIU School of Mathematical Sciences Soochow University Suzhou 215006 P. R. China

In my former paper ＂A pre-order principle and set-valued Ekeland variational principle＂（see [J. Math. Anal. Applo, 419, 904 937 （2014）]）, we established a general pre-order principle. From the pre-order principle, we deduced most of the known set-valued Ekeland variational principles （denoted by EVPs） in set containing forms and their improvements. But the pre-order principle could not imply Khanh and Quy＇s EVP in [On generalized Ekeland＇s variational principle and equivalent formulations for set-valued mappings, J. Glob. Optim., 49, 381-396 （2011）], where the perturbation contains a weak T-function, a certain type of generalized distances. In this paper, we give a revised version of the pre-order principle. This revised version not only implies the original pre-order principle, but also can be applied to obtain the above Khanh and Quy＇s EVP. In particular, we give several new set-valued EVPs, where the perturbations contain convex subsets of the ordering cone and various types of generalized distances.

关键词： Pre-order principle Ekeland variational principle set-valued map perturbation locallyconvex space vector optimization

Henig Proper Efficient Points and Generalized Henig Proper Efficient Points

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Acta Mathematica Sinica,English Series 2009年第3期25卷 445-454页

作者： jing hui QIU Department of Mathematics Suzhou University Suzhou 215006 P. R. China

Applying the theory of locally convex spaces to vector optimization, we investigate the relationship between Henig proper efficient points and generalized Henig proper efficient points. In particular, we obtain a sufficient and necessary condition for generalized Henig proper efficient points to be Henig proper efficient points. From this, we derive several convenient criteria for judging Henig proper efficient points.

关键词： locally convex space base of a cone Henig proper efficient point generalized Henig properefficient point

Two Stochastic Resonances Induced by Two Different Multiplicative Telegraphic Noises for an Electric System

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Communications in Theoretical Physics 2008年第11期50卷 1159-1164页

作者： LI jing-hui Faculty of Science P.O. Box 58 Ningbo University Ningbo 315211 China

In this paper,an electric system with two dichotomous resistors is *** is shown that thissystem can display two stochastic resonances,which are the amplitude of the periodic response as the functions of thetwo dichotomous resistors strengthes *** the limits of Gaussian white noise and shot white noise(i.e.,thetwo noises are both Gaussian white noise or shot white noise),no phenomena of resonance *** further study,we find that when the system is with three or more multiplicative telegraphic noises,there are three or more stochasticresonances.

关键词： stochastic resonance noise

Role and mechanism of circ-PRKCI in hepatocellular carcinoma

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World Journal of Gastroenterology 2019年第16期25卷 1964-1974页

作者： Su-Xia Qi hui Sun hui Liu jing Yu Zhi-Yong jiang Ping Yan Emergency Department Qingdao Municipal Hospital (Group) Department of Clinical Laboratory Qingdao Municipal Hospital (Group) Department of Clinical Laboratory Qingdao Women's and Children's Hospital Department of Clinical Laboratory Qingdao Haici Medical Group

BACKGROUND The circular RNA circ-PRKCI is an endogenous non-coding RNA that forms a covalently closed ring after reverse splicing, which plays a key role in the occurrence and development of multiple digestive system *** To investigate the role and mechanism of circ-PRKCI in the occurrence and development of hepatocellular carcinoma(HCC).METHODS This study used real-time polymerase chain reaction to detect the expression of circ-PRKCI in tumor tissues, tumor adjacent tissues, and blood in patients with HCC and other digestive system tumor cells. A series of functional tests were performed to explore whether circ-PRKCI affects the growth of HCC cells and what is its mechanism in HCC. Meanwhile, fluorescence in situ hybridization was used to detect the subcellular localization of circ-PRKCI. Survival analysis was performed to predict the correlation between circ-PRKCI and the prognosis of HCC. Chi-square test and t-test were performed for statistical *** The level of circ-PRKCI was significantly higher in HCC tissues than in tumor adjacent tissues, and in HCC cell lines than in cells lines of esophageal, liver,stomach, and colon cancers. A series of functional tests showed that circ-PRKCI substantially inhibited cell apoptosis and promoted cell invasion. It was foundthat circ-PRKCI can act as the sponge of miRNA-545 to reduce the expression of AKT3 protein. Moreover, the result of survival analysis showed that circ-PRKCI target gene E2 F7 can reduce liver cancer patients' survival rate. And clinical data suggested that the distribution of circ-PRKCI rose with the depth of invasion,lymph node metastasis, distant metastasis, and TNM stage, indicating that circPRKCI may affect the survival and prognosis of patients with HCC by regulating E2 *** This study explores the role and mechanism of circ-PRKCI in HCC, which provides a new research direction and theoretical basis for the treatment of HCC.

关键词： Circ-PRKCI Hepatocellular carcinoma Cell invasion Protein kinase B signaling pathway Progression

Stochastic Resonance of Single (Independent of Each Other) Protein Motor System with Fluctuating Potential Barrier

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Communications in Theoretical Physics 2008年第4期49卷 945-950页

作者： LI jing-hui P.O. Box 58 Faculty of Science Ningbo University Ningbo 315211 China

A single （independent of each other） protein motor system with fluctuating potential barrier and subject to sine electric field is investigated. We first derive the approximate Langevin equation of this system with fluctuating potential barrier. Then from this approximate Langevin equation, we calculate the signal-to-noise ratio （SNR） in the adiabatic limit. The phenomenon of stochastic resonance is found for this protein motor system with fluctuating potential barrier.

关键词： stochastic resonance protein motor fluctuating potential barrier