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| 1 | Moderate deviations and hypothesis testing for signal detection problem显示文摘We use moderate deviations to study the signal detection problem for a diffusion model.We establish a moderate deviation principle for the log-likelihood function of the diffusion model.Then applying the moderate deviation estimates to hypothesis testing for signal detection problem we give a decision region such that its error probability of the second kind tends to zero with faster speed than the error probability of the first kind when the error probability of the first kind is approximated by e-αr(T),where α>0,r(T)=o(T) and r(T) →∞ as the observation time T goes to infinity. | GAO FuQing ZHAO ShouJiang | 2012 | Science China Mathematics2012，55，11： | 4 |
| 2 | Deviation inequalities for quadratic Wiener functionals and moderate deviations for parameter estimators显示文摘We study deviation inequalities for some quadratic Wiener functionals and moderate deviations for parameter estimators in a linear stochastic differential equation model.Firstly,we give some estimates for Laplace integrals of the quadratic Wiener functionals by calculating the eigenvalues of the associated HilbertSchmidt operators.Then applying the estimates,we establish deviation inequalities for the quadratic functionals and moderate deviation principles for the parameter estimators. | GAO FuQing JIANG Hui | 2017 | Science China Mathematics2017，60，7： | 3 |
| 3 | Berry-Esseen bounds and Cramér type large deviations for eigenvalues of random matrices.显示文摘We establish Berry-Esseen bounds and Cramér type large deviations for the eigenvalues of Wigner Hermitian matrices in the bulk and at the edge cases. Similar results are also obtained for covariance matrices. | CHEN Lei GAO FuQing WANG ShaoChen | 2015 | Science China Mathematics2015，58，9： | 2 |
| 4 | Moderate deviations and functional limits for random processes with stationary and independent increments显示文摘We first give a functional moderate deviation principle for random processes with stationary and independent increments under the Ledoux's condition.Then we apply the result to laws of the iterated logarithm. | GAO Fuqing | 2006 | Science China Mathematics2006，49，12： | 1 |
| 5 | Moderate deviations and large deviations for kernel density estimators显示文摘 | Gao Fuqing | 2003 | Journal Theoretical Probability2003，16，2： | 1 |
| 6 | Synthesis and Properties of Sepiolite/Poly(Acrylic Acid-co-Acrylamide) Nanocomposites 显示文摘 | Zang Fuqing Guo Zengjian Gao Hong | 2005 | Polym Bull2005，55，6： | 1 |
| 7 | Moderate deviations for martingales and mixing random processes显示文摘 | Gao Fuqing | 1996 | Stochastic Processes and their Applications1996，61，： | 1 |
| 8 | Preparation of arsenic trioxide albumim microspheres and its release characteristics in vitro显示文摘 | Zhou Jie Zeng Fuqing Gao Xiang Xie Shusheng Wei Shuli | 2005 | Journal of Huazhong University of Science and Technology [Medical Sciences]2005，，3： | 1 |
| 9 | Moderate deviations and large deviations for kernel density estimators显示文摘 | Gao Fuqing | 2003 | Journal of Theoretical Probability2003，16，2： | 1 |
| 10 | Moderate deviations and large deviations for kernel density estimations显示文摘 | Gao Fuqing | 2003 | Journal of Theoretical Probability2003，16，2： | 1 |
| 11 | Moderate deviations for the maximum likelihood estimator显示文摘 | Gao Fuqing | 2001 | Statistic and Probability Letters2001，55，： | 1 |
| 12 | Moderate deviations for martingales and mixing random processes显示文摘 | | 1996 | Stoch Proc Appl1996，61，： | 1 |
| 13 | A Necessary Condition on Comparison Theorem for One-Dimensional Stochastic Differential Equation显示文摘We consider the comparison theorem of one-dimensional stochastic differential equation with non-Lipschitz diffusion coefficient. Considering the two one-dimensional stochastic differential equations as a two-dimensional equation,we present a necessary condition such that comparison theorem holds by viscosity solution approach. | ZHAO Shoujiang,GAO Fuqing School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China | 2010 | Wuhan University Journal of Natural Sciences2010，15，1： | 0 |
| 14 | Moderate deviations for estimators under exponentially stochastic differentiability conditions显示文摘 | Fuqing GAO Qiaojing LIU | 2018 | Frontiers of Mathematics in China2018，13，1： | 0 |
| 15 | Large Deviations and Moderate Deviations for the Chi-Square Test in Type Ⅱ Error显示文摘We study the asymptotics for the statistic of chi-square in type Ⅱ error. By the contraction principle, the large deviations and moderate deviations are obtained, and the rate function of moderate deviations can be calculated explicitly which is a squared function. | JIANG Hui GAO Fuqing | 2008 | Wuhan University Journal of Natural Sciences2008，13，2： | 0 |
| 16 | Logarithmic Sobolev Inequalities for Two-Sided Birth-Death Processes显示文摘In this paper, we study the logarithmic Sobolev inequalities for two-sided birth-death processes. An estimate of the logarithmic Sobolev constant α for a two-sided birth-death process is obtained by the Hardy-type inequality and a criteria for α is also presented. | YANG Qingshan LIU Hong GAO Fuqing | 2008 | Wuhan University Journal of Natural Sciences2008，13，2： | 0 |
| 17 | Deviation Inequality for the Number of k-Cycles in a Random Graph显示文摘We study the number of k-cycles in a random graph G(n, p). We estimate the probability that a random graph contains more k-cycles than expected. In this case, the usual martingale inequality with bounded difference is not effective. By construct-ing a variable that approximates to the number of k-cycles in a random graph and using a new and extensive martingale inequality, we get the results in this paper. | WANG Yanqing GAO Fuqing | 2009 | Wuhan University Journal of Natural Sciences2009，14，1： | 0 |
| 18 | Weak entropy inequalities and entropic convergence显示文摘A criterion for algebraic convergence of the entropy is presented and an algebraic convergence result for the entropy of an exclusion process is improved. A weak entropy inequality is considered and its relationship to entropic convergence is discussed. | GAO FuQing LI LiNa | 2008 | Science China Mathematics2008，51，10： | 0 |
| 19 | The nighttime ionospheric response and occurrence of equatorial plasma irregularities during geomagnetic storms:a case study显示文摘Recent studies revealed that the long-lasting daytime ionospheric enhancements of Total Electron Content(TEC)were sometimes observed in the Asian sector during the recovery phase of geomagnetic storms e.g.,Lei(J Geophys Res Space Phys 123:3217-3232,2018),Li(J Geophys Res Space Phys 125:e2020JA028238,2020).However,they focused only on the dayside ionosphere,and no dedicated studies have been performed to investigate the nighttime ionospheric behavior during such kinds of storm recovery phases.In this study,we focused on two geomagnetic storms that happened on 7-8 September 2017 and 25-26 August 2018,which showed the prominent daytime TEC enhancements in the Asian sector during their recovery phases,to explore the nighttime large-scale ionospheric responses as well as the small-scale Equatorial Plasma Irregularities(EPIs).It is found that during the September 2017 storm recovery phase,the nighttime ionosphere in the American sector is largely depressed,which is similar to the daytime ionospheric response in the same longitude sector;while in the Asian sector,only a small TEC increase is observed at nighttime,which is much weaker than the prominent daytime TEC enhancement in this longitude sector.During the recovery phase of the August 2018 storm,a slight TEC increase is observed on the night side at all longitudes,which is also weaker than the prominent daytime TEC enhancement.For the small-scale EPIs,they are enhanced and extended to higher latitudes during the main phase of both storms.However,during the recovery phases of the first storm,the EPIs are largely enhanced and suppressed in the Asian and American sectors,respectively,while no prominent nighttime EPIs are observed during the second storm recovery phase.The clear north-south asymmetry of equatorial ionization anomaly crests during the second storm should be responsible for the suppression of EPIs during this storm.In addition,our results also suggest that the dusk side ionospheric response could be affected by the daytime ionospheric plasma density/TEC variations during the recovery phase of geomagnetic storms,which further modulates the vertical plasma drift and plasma gradient.As a result,the growth rate of post-sunset EPIs will be enhanced or inhibited. | Xin Wan Chao Xiong Shunzu Gao Fuqing Huang Yiwen Liu Fan Yin Hongtao Cai | 2021 | Satellite Navigation2021，2，1： | 0 |
| 20 | Laws of iterated logarithm for transient random walks in random environments显示文摘我们在随机的环境为一个维的短暂随机的散步考虑重申的对数的法律。重申的对数的一条熄灭的法律被介绍因为短暂随机走包括独立相等分布式的环境的一般来说各态历经的随机的环境和一致地各态历经的环境。 | Fuqing GAO | 2015 | Frontiers of Mathematics in China2015，10，4： | 0 |
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