In this note, the basic limit behaviors of the solution to Riccati equation in the extended Kalman filter as a parameter estimator for a sinusoidal signal are analytically investigated by using lira sup and lim inf in...In this note, the basic limit behaviors of the solution to Riccati equation in the extended Kalman filter as a parameter estimator for a sinusoidal signal are analytically investigated by using lira sup and lim inf in advanced calculus. We show that if the covariance matrix has a limit, then it must be a zero matrix.展开更多
We study the asymptotic distribution of the L1 regression estimator under general condi-tions with matrix norming and possibly non i.i.d.errors.We then introduce an appropriate bootstrap procedure to estimate the dist...We study the asymptotic distribution of the L1 regression estimator under general condi-tions with matrix norming and possibly non i.i.d.errors.We then introduce an appropriate bootstrap procedure to estimate the distribution of this estimator and study its asymptotic properties.It is shown that this bootstrap is consistent under suitable conditions and in other situations the bootstrap limit is a random distribution.展开更多
Kerov[16,17] proved that Wigner＇s semi-circular law in Gauss[an unitary ensembles is the transition distribution of the omega curve discovered by Vershik and Kerov[34] for the limit shape of random partitions under t...Kerov[16,17] proved that Wigner＇s semi-circular law in Gauss[an unitary ensembles is the transition distribution of the omega curve discovered by Vershik and Kerov[34] for the limit shape of random partitions under the Plancherel measure. This establishes a close link between random Plancherel partitions and Gauss[an unitary ensembles, In this paper we aim to consider a general problem, namely, to characterize the transition distribution of the limit shape of random Young diagrams under Poissonized Plancherel measures in a periodic potential, which naturally arises in Nekrasov＇s partition functions and is further studied by Nekrasov and Okounkov[25] and Okounkov[28,29]. We also find an associated matrix mode[ for this transition distribution. Our argument is based on a purely geometric analysis on the relation between matrix models and SeibergWitten differentials.展开更多
In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there e...In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there exists a subspace of nonnegative vectors Ωr such that if initial (input) product , then there is some natural number n0≥0 such that for n≥ n0, the n-th year’sproduct Xn has at least one negative component, which means that economic dislocation occurs.展开更多
A friendly biomimetic process was adopted for the mild preparation of"all-inclusive"organic-inorganic nanospheres,which effectively integrate biorecognition function and signal amplification function.The res...A friendly biomimetic process was adopted for the mild preparation of"all-inclusive"organic-inorganic nanospheres,which effectively integrate biorecognition function and signal amplification function.The resulted Ca3(PO4)2-Ab2-BSA nanospheres were employed as signal labels for enhancing detection of nuclear matrix protein 22(NMP 22).The fabricated electrochemical immunosensor exhibited a linear range(0.08-77.00 U/mL)and an ultralow limit of detection(0.01 U/mL)towards NMP 22,which can be taken as a promising tool for clinical diagnosis of bladder cancer.展开更多
基金This work was supported by the National Natural Science Foundation of China （No. 61374084）.
文摘In this note, the basic limit behaviors of the solution to Riccati equation in the extended Kalman filter as a parameter estimator for a sinusoidal signal are analytically investigated by using lira sup and lim inf in advanced calculus. We show that if the covariance matrix has a limit, then it must be a zero matrix.
基金supported by J.C. Bose National Fellowship, Government of India
文摘We study the asymptotic distribution of the L1 regression estimator under general condi-tions with matrix norming and possibly non i.i.d.errors.We then introduce an appropriate bootstrap procedure to estimate the distribution of this estimator and study its asymptotic properties.It is shown that this bootstrap is consistent under suitable conditions and in other situations the bootstrap limit is a random distribution.
基金Supported by the National Natural Science Foundation of China(No.10671176)
文摘Kerov[16,17] proved that Wigner＇s semi-circular law in Gauss[an unitary ensembles is the transition distribution of the omega curve discovered by Vershik and Kerov[34] for the limit shape of random partitions under the Plancherel measure. This establishes a close link between random Plancherel partitions and Gauss[an unitary ensembles, In this paper we aim to consider a general problem, namely, to characterize the transition distribution of the limit shape of random Young diagrams under Poissonized Plancherel measures in a periodic potential, which naturally arises in Nekrasov＇s partition functions and is further studied by Nekrasov and Okounkov[25] and Okounkov[28,29]. We also find an associated matrix mode[ for this transition distribution. Our argument is based on a purely geometric analysis on the relation between matrix models and SeibergWitten differentials.
文摘In this paper, we consider the discrete-time dynamic models of input-output whose input-coefficient matrices A. and capital-coefficient matrices Bn can vary with time n. Under certain conditions, we prove that there exists a subspace of nonnegative vectors Ωr such that if initial (input) product , then there is some natural number n0≥0 such that for n≥ n0, the n-th year’sproduct Xn has at least one negative component, which means that economic dislocation occurs.
基金supported by the Natural Science Foundation of Shandong Province(No.ZR2017MB017)support from the One-Thousand-Talents Scheme in Sichuan Province。
文摘A friendly biomimetic process was adopted for the mild preparation of"all-inclusive"organic-inorganic nanospheres,which effectively integrate biorecognition function and signal amplification function.The resulted Ca3(PO4)2-Ab2-BSA nanospheres were employed as signal labels for enhancing detection of nuclear matrix protein 22(NMP 22).The fabricated electrochemical immunosensor exhibited a linear range(0.08-77.00 U/mL)and an ultralow limit of detection(0.01 U/mL)towards NMP 22,which can be taken as a promising tool for clinical diagnosis of bladder cancer.
